packages/a11oy-knowledge/src/knowledge.json

{
 "version": "5.1.0",
 "byline": "Lutar, Stephen P.",
 "orcid": "0009-0001-0110-4173",
 "email": "stephen@szlholdings.com",
 "org": "SZL Holdings",
 "generated_at": "2026-06-06T06:00:00Z",
 "axioms": [
  {
   "id": "A1",
   "name": "soundnessAxiom",
   "statement": "For any receipt r, if gate_pass(r) then lambda(r) >= 0.90 conjunctively",
   "source_file": "thesis.md",
   "source_section": "§4.1",
   "maturity": "proven",
   "citation": "https://doi.org/10.5281/zenodo.20119582"
  },
  {
   "id": "A2",
   "name": "moralGroundingFloor",
   "statement": "moralGrounding axis floor = 0.95 (higher than default 0.90)",
   "source_file": "thesis.md",
   "source_section": "§4.1",
   "maturity": "defined",
   "citation": "https://doi.org/10.5281/zenodo.20119582"
  },
  {
   "id": "A3",
   "name": "measurabilityHonestyFloor",
   "statement": "measurabilityHonesty axis floor = 0.95",
   "source_file": "thesis.md",
   "source_section": "§4.1",
   "maturity": "defined",
   "citation": "https://doi.org/10.5281/zenodo.20119582"
  },
  {
   "id": "A4",
   "name": "dualWitnessDisjointness",
   "statement": "For rho-closure: witness_1_id != witness_2_id (enforced by registry at write time)",
   "source_file": "thesis.md",
   "source_section": "§4.3",
   "maturity": "proven",
   "citation": "https://doi.org/10.5281/zenodo.20119582"
  },
  {
   "id": "A5",
   "name": "deterministicReplay",
   "statement": "For canonical JSON + pinned PRNG + frozen registry, 5x replay yields byte-identical roots",
   "source_file": "thesis.md",
   "source_section": "§4.6",
   "maturity": "measured",
   "citation": "https://doi.org/10.5281/zenodo.20119582"
  },
  {
   "id": "A6",
   "name": "hashChainIntegrity",
   "statement": "Every spine entry hash-chain invariant: entry.chain = SHA256(prev_entry)",
   "source_file": "thesis.md",
   "source_section": "§3.4",
   "maturity": "defined",
   "citation": "https://doi.org/10.5281/zenodo.20119582"
  },
  {
   "id": "A7",
   "name": "bekensteinBound",
   "statement": "Receipt chain entropy H(R_n) bounded by information-theoretic limit from registry area",
   "source_file": "thesis.md",
   "source_section": "§4.5",
   "maturity": "conjectured",
   "citation": "https://doi.org/10.5281/zenodo.19944926"
  },
  {
   "id": "A8",
   "name": "ingestDiscipline",
   "statement": "Every ingest requires: source_url + content_hash + license (allow-list) + ORCID",
   "source_file": "thesis.md",
   "source_section": "§7",
   "maturity": "defined",
   "citation": "https://doi.org/10.5281/zenodo.20119582"
  },
  {
   "id": "A9",
   "name": "doctrineCompleteness",
   "statement": "doctrine.json v1.0.0 enumerates all 8 forbidden patterns; SHA-anchored",
   "source_file": "szl-trust/doctrine.json",
   "source_section": "§8",
   "maturity": "defined",
   "citation": "https://github.com/szl-holdings/szl-trust"
  }
 ],
 "theorems": [
  {
   "id": "TH_L1",
   "name": "Λ_uniqueness",
   "statement": "Conjecture 1: the Lutar Invariant Λ_k (weighted geometric mean with Egyptian unit-fraction weights) is the unique aggregator satisfying axioms A1-A5. NOT a theorem: unconditional uniqueness is FALSE under A1-A5 (machine-checked counterexample maxAgg_ne_Lambda; max-aggregator satisfies A1-A5 yet differs from Λ at (4,1)). The conditional theorem lambda_unique_of_factors (uniqueness GIVEN factorization Φ x = ∏ x_i^α_i) IS fully proved; unconditional uniqueness closes only under a declared bisymmetry axiom A6 (Kolmogorov-Nagumo-Aczel).",
   "source_file": "lutar-lean/Lutar/Round13/Lambda_Uniqueness.lean",
   "maturity": "conjectured",
   "citation": "https://doi.org/10.5281/zenodo.20053148"
  },
  {
   "id": "TH_L2",
   "name": "Λ_min_max_bounds",
   "statement": "Λ_k lies in [0,1] with min=0 iff any axis=0 and max=1 iff all axes=1",
   "source_file": "lutar-lean/Lutar/Bound.lean",
   "maturity": "proven",
   "citation": "https://doi.org/10.5281/zenodo.20053148"
  },
  {
   "id": "TH_L3",
   "name": "bekenstein_soundness",
   "statement": "Bekenstein indicator fires at 49.5% under uniform seed (measured); formal proof pending in lutar-lean",
   "source_file": "lutar-lean (pending PR #12)",
   "maturity": "measured/conjectured",
   "citation": "https://github.com/szl-holdings/lutar-lean"
  },
  {
   "id": "TH_L4",
   "name": "rho_closure_production",
   "statement": "100% rho-closure on 8,000/8,000 paired calls under v11 platform",
   "source_file": "ouroboros v6.3.0 release",
   "maturity": "measured",
   "citation": "https://doi.org/10.5281/zenodo.20119582"
  }
 ],
 "formulas": [
  {
   "id": "F0001",
   "source_file": "thesis.md",
   "source_line": 27,
   "latex": "\\mathcal{S} = \\langle R, A, E, \\Lambda, \\rho, W \\rangle",
   "context": "ith a doctrine-locked runtime** as a category-defining primitive for verifiable agency. We define the system as a tuple \\( \\mathcal{S} = \\langle R, A, E, \\Lambda, \\rho, W \\rangle \\) over an eight-regi",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0002",
   "source_file": "thesis.md",
   "source_line": 229,
   "latex": "\\mathtt{szl\\text{-}trust}",
   "context": "d system.  - \\(A\\) — the set of **named actors**. Every actor in \\(A\\) carries a stable identity resolvable to a key in \\(\\mathtt{szl\\text{-}trust}\\). No edge in \\(E\\) may originate from or terminate ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0003",
   "source_file": "thesis.md",
   "source_line": 231,
   "latex": "e \\in E",
   "context": "and resolvable — unidentified actors are structurally excluded.  - \\(E\\) — the set of **receipt-bound edges**. An edge \\(e \\in E\\) is a tuple \\((a_{\\text{src}},\\; r_{\\text{src}},\\; r_{\\text{dst}},\\; \\",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0004",
   "source_file": "thesis.md",
   "source_line": 231,
   "latex": "(a_{\\text{src}},\\; r_{\\text{src}},\\; r_{\\text{dst}},\\; \\varepsilon)",
   "context": "ntified actors are structurally excluded.  - \\(E\\) — the set of **receipt-bound edges**. An edge \\(e \\in E\\) is a tuple \\((a_{\\text{src}},\\; r_{\\text{src}},\\; r_{\\text{dst}},\\; \\varepsilon)\\) where \\(",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0005",
   "source_file": "thesis.md",
   "source_line": 231,
   "latex": "a_{\\text{src}} \\in A",
   "context": "d edges**. An edge \\(e \\in E\\) is a tuple \\((a_{\\text{src}},\\; r_{\\text{src}},\\; r_{\\text{dst}},\\; \\varepsilon)\\) where \\(a_{\\text{src}} \\in A\\), \\(r_{\\text{src}}, r_{\\text{dst}} \\in R\\), and \\(\\varep",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0006",
   "source_file": "thesis.md",
   "source_line": 231,
   "latex": "r_{\\text{src}}, r_{\\text{dst}} \\in R",
   "context": "E\\) is a tuple \\((a_{\\text{src}},\\; r_{\\text{src}},\\; r_{\\text{dst}},\\; \\varepsilon)\\) where \\(a_{\\text{src}} \\in A\\), \\(r_{\\text{src}}, r_{\\text{dst}} \\in R\\), and \\(\\varepsilon\\) is the receipt enve",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0007",
   "source_file": "thesis.md",
   "source_line": 231,
   "latex": "\\varepsilon",
   "context": "src}},\\; r_{\\text{dst}},\\; \\varepsilon)\\) where \\(a_{\\text{src}} \\in A\\), \\(r_{\\text{src}}, r_{\\text{dst}} \\in R\\), and \\(\\varepsilon\\) is the receipt envelope defined in §3.3. No message may traverse",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0008",
   "source_file": "thesis.md",
   "source_line": 231,
   "latex": "\\varepsilon",
   "context": "repsilon\\) is the receipt envelope defined in §3.3. No message may traverse a region boundary unless it carries a valid \\(\\varepsilon\\).  - \\(\\Lambda\\) — the **composable axis-gating function**. Forma",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0009",
   "source_file": "thesis.md",
   "source_line": 233,
   "latex": "\\Lambda",
   "context": "ceipt envelope defined in §3.3. No message may traverse a region boundary unless it carries a valid \\(\\varepsilon\\).  - \\(\\Lambda\\) — the **composable axis-gating function**. Formally, \\(\\Lambda : [0,",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0010",
   "source_file": "thesis.md",
   "source_line": 233,
   "latex": "\\Lambda : [0,1]^k \\to \\{0,1\\}",
   "context": "boundary unless it carries a valid \\(\\varepsilon\\).  - \\(\\Lambda\\) — the **composable axis-gating function**. Formally, \\(\\Lambda : [0,1]^k \\to \\{0,1\\}\\) for \\(k \\geq 9\\), defined as the conjunctive A",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0011",
   "source_file": "thesis.md",
   "source_line": 233,
   "latex": "k \\geq 9",
   "context": "varepsilon\\).  - \\(\\Lambda\\) — the **composable axis-gating function**. Formally, \\(\\Lambda : [0,1]^k \\to \\{0,1\\}\\) for \\(k \\geq 9\\), defined as the conjunctive AND:  \\[ \\Lambda(\\mathbf{x}) = 1 \\iff \\",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0012",
   "source_file": "thesis.md",
   "source_line": 239,
   "latex": "\\mathbf{x}",
   "context": "bilityHonesty}} \\geq 0.95 \\]    The composability property states that for any two independently evaluated axis vectors \\(\\mathbf{x}\\) and \\(\\mathbf{y}\\), their composed gate \\(\\Lambda(\\mathbf{x} \\wed",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0013",
   "source_file": "thesis.md",
   "source_line": 239,
   "latex": "\\mathbf{y}",
   "context": "q 0.95 \\]    The composability property states that for any two independently evaluated axis vectors \\(\\mathbf{x}\\) and \\(\\mathbf{y}\\), their composed gate \\(\\Lambda(\\mathbf{x} \\wedge \\mathbf{y})\\) is",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0014",
   "source_file": "thesis.md",
   "source_line": 239,
   "latex": "\\Lambda(\\mathbf{x} \\wedge \\mathbf{y})",
   "context": "rty states that for any two independently evaluated axis vectors \\(\\mathbf{x}\\) and \\(\\mathbf{y}\\), their composed gate \\(\\Lambda(\\mathbf{x} \\wedge \\mathbf{y})\\) is equivalent to \\(\\Lambda(\\mathbf{x})",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0015",
   "source_file": "thesis.md",
   "source_line": 239,
   "latex": "\\Lambda(\\mathbf{x}) \\wedge \\Lambda(\\mathbf{y})",
   "context": "ctors \\(\\mathbf{x}\\) and \\(\\mathbf{y}\\), their composed gate \\(\\Lambda(\\mathbf{x} \\wedge \\mathbf{y})\\) is equivalent to \\(\\Lambda(\\mathbf{x}) \\wedge \\Lambda(\\mathbf{y})\\) — gate composition does not w",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0016",
   "source_file": "thesis.md",
   "source_line": 239,
   "latex": "\\Lambda",
   "context": "— gate composition does not weaken the invariant. The `lutar-lean` skeleton repository contains the Lean 4 statement of \\(\\Lambda\\) uniqueness: given the four axioms (A1 monotonicity, A2 homogeneity, ",
   "source_id": "thesis_session",
   "maturity": "conjectured"
  },
  {
   "id": "F0017",
   "source_file": "thesis.md",
   "source_line": 239,
   "latex": "\\Lambda",
   "context": "ment of \\(\\Lambda\\) uniqueness: given the four axioms (A1 monotonicity, A2 homogeneity, A3 Egyptian-exact, A4 bounded), \\(\\Lambda\\) is the *unique* function satisfying them. The uniqueness theorem and",
   "source_id": "thesis_session",
   "maturity": "conjectured"
  },
  {
   "id": "F0018",
   "source_file": "thesis.md",
   "source_line": 241,
   "latex": "\\rho(e)",
   "context": "arget is zero.  - \\(\\rho\\) — the **dual-witness closure relation**. For any edge \\(e\\) carrying execution result \\(v\\), \\(\\rho(e)\\) holds iff two independent witnesses \\(w_1, w_2 \\in W\\) each produce ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0019",
   "source_file": "thesis.md",
   "source_line": 241,
   "latex": "w_1, w_2 \\in W",
   "context": "closure relation**. For any edge \\(e\\) carrying execution result \\(v\\), \\(\\rho(e)\\) holds iff two independent witnesses \\(w_1, w_2 \\in W\\) each produce byte-identical output on the same input, and the",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0020",
   "source_file": "thesis.md",
   "source_line": 251,
   "latex": "\\mathcal{S}",
   "context": "uroboros` core + 4 `a11oy` covenant), while the full upstream runtime suite registers 218/218 passing tests.  The tuple \\(\\mathcal{S}\\) is **doctrine-locked**: any runtime configuration in which (a) a",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0021",
   "source_file": "thesis.md",
   "source_line": 251,
   "latex": "\\Lambda",
   "context": "which (a) a region is unnamed, (b) an actor is not in \\(A\\), (c) an edge is produced without a receipt envelope, or (d) \\(\\Lambda\\) is evaluated below threshold does not constitute a valid instantiati",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0022",
   "source_file": "thesis.md",
   "source_line": 251,
   "latex": "\\mathcal{S}",
   "context": "ithout a receipt envelope, or (d) \\(\\Lambda\\) is evaluated below threshold does not constitute a valid instantiation of \\(\\mathcal{S}\\).  ---  ## The 8-Region Anatomy  The eight canonical regions of \\",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0023",
   "source_file": "thesis.md",
   "source_line": 257,
   "latex": "\\mathcal{S}",
   "context": "of \\(R\\) are enumerated below. For each region the presentation gives: the repository identifier, its role in the tuple \\(\\mathcal{S}\\), its public interfaces, and its dependency relations within \\(E\\",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0024",
   "source_file": "thesis.md",
   "source_line": 265,
   "latex": "\\mathcal{S}",
   "context": "released 2026-05-13; concept DOI `10.5281/zenodo.19944926`, v11 paper DOI `10.5281/zenodo.20119582`)  **Formal role in \\(\\mathcal{S}\\):** The Brain Stem is the runtime kernel that evaluates \\(\\Lambda\\",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0025",
   "source_file": "thesis.md",
   "source_line": 265,
   "latex": "\\Lambda",
   "context": "DOI `10.5281/zenodo.20119582`)  **Formal role in \\(\\mathcal{S}\\):** The Brain Stem is the runtime kernel that evaluates \\(\\Lambda\\) and emits receipts. Every edge in \\(E\\) that crosses a region bounda",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0026",
   "source_file": "thesis.md",
   "source_line": 268,
   "latex": "\\Lambda",
   "context": "bda(axes: number[9|10]) → Receipt` — evaluates the conjunctive AND gate and returns a signed receipt with the composite \\(\\Lambda\\) score, Bekenstein budget, and dual-witness closure status. - `build_",
   "source_id": "thesis_session",
   "maturity": "conjectured"
  },
  {
   "id": "F0027",
   "source_file": "thesis.md",
   "source_line": 274,
   "latex": "\\Lambda",
   "context": "chain root for third-party verification.  **Dependencies:** - Depends on: `lutar-lean` (Skeleton) — the axiom set that \\(\\Lambda\\) is required to satisfy is formally stated there; the Brain Stem is th",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0028",
   "source_file": "thesis.md",
   "source_line": 277,
   "latex": "\\Lambda_9",
   "context": "utbound edge must call `evaluate_lambda` before the edge enters \\(E\\).  The gate composition benchmark for v6.3.0 shows \\(\\Lambda_9\\) base p50 = 3.12 µs and composed p50 = 3.29 µs; with the Platform v",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0029",
   "source_file": "thesis.md",
   "source_line": 285,
   "latex": "\\mathcal{S}",
   "context": "a continuous supply-chain security posture.  ---  ### Heart — `a11oy`  **Repo:** `szl-holdings/a11oy`  **Formal role in \\(\\mathcal{S}\\):** The Heart is the covenant policy engine and the agent approva",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0030",
   "source_file": "thesis.md",
   "source_line": 285,
   "latex": "\\mathcal{S}",
   "context": "\\):** The Heart is the covenant policy engine and the agent approval queue. It governs the *authorization* dimension of \\(\\mathcal{S}\\): while the Brain Stem answers \"does this action score above \\(\\L",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0031",
   "source_file": "thesis.md",
   "source_line": 285,
   "latex": "\\Lambda",
   "context": "It governs the *authorization* dimension of \\(\\mathcal{S}\\): while the Brain Stem answers \"does this action score above \\(\\Lambda\\)?\", the Heart answers \"is this action permitted under the active cove",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0032",
   "source_file": "thesis.md",
   "source_line": 285,
   "latex": "r_{\\text{dst}} \\notin R",
   "context": "this action permitted under the active covenant?\". No action may exit the body graph — i.e., no edge in \\(E\\) may have \\(r_{\\text{dst}} \\notin R\\) — without a Heart pulse. The covenant is a named, ver",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0033",
   "source_file": "thesis.md",
   "source_line": 293,
   "latex": "\\Lambda",
   "context": "Stem's chain.  **Dependencies:** - Depends on: `ouroboros` (Brain Stem) — covenant evaluation results are sealed with a \\(\\Lambda\\)-gated receipt; a covenant check that fails \\(\\Lambda\\) is itself a g",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0034",
   "source_file": "thesis.md",
   "source_line": 293,
   "latex": "\\Lambda",
   "context": "os` (Brain Stem) — covenant evaluation results are sealed with a \\(\\Lambda\\)-gated receipt; a covenant check that fails \\(\\Lambda\\) is itself a gate-level violation. - Depends on: `safety-gate layer` (safety wires) — t",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0035",
   "source_file": "thesis.md",
   "source_line": 305,
   "latex": "\\mathcal{S}",
   "context": "but a verifiable, chain-linked artifact.  ---  ### safety wires — `safety-gate layer`  **Repo:** `szl-holdings/safety-gate layer`  **Formal role in \\(\\mathcal{S}\\):** The safety wires are the attribution trail — the afferent channel tha",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0036",
   "source_file": "thesis.md",
   "source_line": 305,
   "latex": "\\text{attr}: E \\to A",
   "context": "rent channel that carries signals inward and records *who observed what and when*. Formally, safety wires maintain the mapping \\(\\text{attr}: E \\to A\\), ensuring that every edge in \\(E\\) is attributable to a",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0037",
   "source_file": "thesis.md",
   "source_line": 305,
   "latex": "\\mathcal{S}",
   "context": "he mapping \\(\\text{attr}: E \\to A\\), ensuring that every edge in \\(E\\) is attributable to a named actor. Without safety wires, \\(\\mathcal{S}\\) degrades: edges carry receipts but not attributions, making the ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0038",
   "source_file": "thesis.md",
   "source_line": 308,
   "latex": "a \\in A",
   "context": "egal-accountability sense.  **Public interfaces:** - `observe(edge, actor_id) → AttributionRecord` — records that actor \\(a \\in A\\) produced or consumed edge \\(e\\). - `attribution_trail(region, time_r",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0039",
   "source_file": "thesis.md",
   "source_line": 325,
   "latex": "\\mathcal{S}",
   "context": "aft-morrow-sogomonian-exec-outcome-attest`.  ---  ### reasoning spine — `reasoning core`  **Repo:** `szl-holdings/reasoning core`  **Formal role in \\(\\mathcal{S}\\):** The reasoning spine is the append-only coordination and protocol bridge",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0040",
   "source_file": "thesis.md",
   "source_line": 325,
   "latex": "\\langle e_1, e_2, \\ldots, e_n \\rangle \\subseteq E",
   "context": "ordered, hash-verified record of every state transition across the body graph. Formally, `reasoning core` maintains the sequence \\(\\langle e_1, e_2, \\ldots, e_n \\rangle \\subseteq E\\) ordered by timestamp, with",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0041",
   "source_file": "thesis.md",
   "source_line": 339,
   "latex": "O(\\log n)",
   "context": "(identified in the runtime roadmap) would upgrade the reasoning spine's linear hash-chain to a directed acyclic graph supporting \\(O(\\log n)\\) subset inclusion proofs — enabling privacy-preserving audits for re",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0042",
   "source_file": "thesis.md",
   "source_line": 347,
   "latex": "\\mathcal{S}",
   "context": "nce in the enterprise segment.  ---  ### Skeleton — `lutar-lean`  **Repo:** `szl-holdings/lutar-lean`  **Formal role in \\(\\mathcal{S}\\):** The Skeleton is the formal scaffold — the Lean 4 axioms and M",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0043",
   "source_file": "thesis.md",
   "source_line": 347,
   "latex": "\\{A1, A2, A3, A4\\}",
   "context": "es not execute at runtime; it is the *proof that the runtime is correct*. Formally, `lutar-lean` provides the axiom set \\(\\{A1, A2, A3, A4\\}\\) and the derived theorems (Λ uniqueness, Bound theorem) th",
   "source_id": "thesis_session",
   "maturity": "conjectured"
  },
  {
   "id": "F0044",
   "source_file": "thesis.md",
   "source_line": 347,
   "latex": "\\Lambda",
   "context": "A2, A3, A4\\}\\) and the derived theorems (Λ uniqueness, Bound theorem) that constitute a machine-checked certificate for \\(\\Lambda\\). If the Skeleton's `sorry` count is zero, the gate the Brain Stem en",
   "source_id": "thesis_session",
   "maturity": "conjectured"
  },
  {
   "id": "F0045",
   "source_file": "thesis.md",
   "source_line": 351,
   "latex": "\\Lambda",
   "context": "statements of A1 (monotonicity), A2 (homogeneity), A3 (Egyptian-exact), A4 (bounded). - `Uniqueness.lean` — Theorem 1: \\(\\Lambda\\) is the unique function satisfying A1–A4; proof scaffold with tracked ",
   "source_id": "thesis_session",
   "maturity": "conjectured"
  },
  {
   "id": "F0046",
   "source_file": "thesis.md",
   "source_line": 367,
   "latex": "\\mathcal{S}",
   "context": "*Repos:** `szl-holdings/counsel` (governance UI), `szl-holdings/terra` (dashboards and visualization)  **Formal role in \\(\\mathcal{S}\\):** The Hands are the tooling and visualization surfaces — the co",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0047",
   "source_file": "thesis.md",
   "source_line": 371,
   "latex": "\\Lambda",
   "context": "as an interactive SVG, streaming live receipt counts via SSE from `/api/chain/stream`; node colors reflect the current \\(\\Lambda\\) score band (green ≥ 0.95, amber 0.90–0.95, red < 0.90). The planned \"",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0048",
   "source_file": "thesis.md",
   "source_line": 386,
   "latex": "\\mathcal{S}",
   "context": "*is* the system.  ---  ### Full Body — `ouroboros-thesis`  **Repo:** `szl-holdings/ouroboros-thesis`  **Formal role in \\(\\mathcal{S}\\):** The Full Body is the public-record thesis — the DOI-pinned, ve",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0049",
   "source_file": "thesis.md",
   "source_line": 386,
   "latex": "\\mathcal{S}",
   "context": "l Body is the public-record thesis — the DOI-pinned, versioned document that constitutes the canonical specification of \\(\\mathcal{S}\\). Formally, `ouroboros-thesis` defines the normative description ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0050",
   "source_file": "thesis.md",
   "source_line": 405,
   "latex": "\\mathcal{S}",
   "context": "d identity anchoring), `szl-holdings/szl-cookbook` (reference implementations / developer onboarding)  **Formal role in \\(\\mathcal{S}\\):** The Vessels and Chakras collectively form the trust mesh and ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0051",
   "source_file": "thesis.md",
   "source_line": 421,
   "latex": "\\varepsilon",
   "context": "eue under the covenant pack schema.  ---  ## Cross-Region Contracts  Every edge in \\(E\\) carries a **receipt envelope** \\(\\varepsilon\\). The envelope is a typed, signed, content-addressed record that ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0052",
   "source_file": "thesis.md",
   "source_line": 421,
   "latex": "\\Lambda",
   "context": "es a **receipt envelope** \\(\\varepsilon\\). The envelope is a typed, signed, content-addressed record that provides: the \\(\\Lambda\\) score vector, the dual-witness closure status (\\(\\rho\\)), the actor ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0053",
   "source_file": "thesis.md",
   "source_line": 479,
   "latex": "\\Lambda",
   "context": "_lambda(axes) → Receipt` — any MCP-compatible client (Claude Desktop, Cursor, enterprise agent frameworks) can call the \\(\\Lambda\\) gate as a typed tool and receive a signed receipt in the tool respon",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0054",
   "source_file": "thesis.md",
   "source_line": 507,
   "latex": "\\mathcal{S}",
   "context": "the 8-Region Model Structurally Surpasses the Leaders  Each leading framework or protocol is a partial instantiation of \\(\\mathcal{S}\\). The gap is structural: the missing region is not a feature that",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0055",
   "source_file": "thesis.md",
   "source_line": 515,
   "latex": "\\Lambda_9",
   "context": "l engineering pattern, but skills are *files*, not services with receipts. A Brain Stem can issue a decision that fails \\(\\Lambda_9\\) moralGrounding; in the Managed Agents architecture there is no mec",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0056",
   "source_file": "thesis.md",
   "source_line": 515,
   "latex": "\\mathcal{S}",
   "context": "fails \\(\\Lambda_9\\) moralGrounding; in the Managed Agents architecture there is no mechanism to detect or block it. In \\(\\mathcal{S}\\), that decision never exits the Brain Stem.  **Mastra** (22K+ GitH",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0057",
   "source_file": "thesis.md",
   "source_line": 517,
   "latex": "\\Lambda",
   "context": "ource agent framework in the TypeScript ecosystem. Mastra has no Skeleton: there are no Lean 4 proofs. It has no formal \\(\\Lambda\\) gate — behavioral constraints are implemented as runtime checks with",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0058",
   "source_file": "thesis.md",
   "source_line": 567,
   "latex": "\\lambda_1",
   "context": "l(\\lambda_1(c),\\, \\lambda_2(c),\\, \\ldots,\\, \\lambda_9(c)\\bigr) \\in [0,1]^9 \\]  The nine axes are defined as follows.  **\\(\\lambda_1\\): moralGrounding.** Measures the degree to which a proposed action ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0059",
   "source_file": "thesis.md",
   "source_line": 567,
   "latex": "\\lambda_1",
   "context": "nce policies, and principal hierarchies that the operator has encoded in the agent's governing covenant. Operationally, \\(\\lambda_1\\) is the normalized cosine similarity between the action's intent em",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0060",
   "source_file": "thesis.md",
   "source_line": 567,
   "latex": "[0,1]",
   "context": "mbedding and a reference \"moral anchor\" embedding, averaged over the operator's registered covenant clauses, clamped to \\([0,1]\\). The floor constraint \\(\\lambda_1 \\geq 0.95\\) is a hard asymptote: an ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0061",
   "source_file": "thesis.md",
   "source_line": 567,
   "latex": "\\lambda_1 \\geq 0.95",
   "context": "anchor\" embedding, averaged over the operator's registered covenant clauses, clamped to \\([0,1]\\). The floor constraint \\(\\lambda_1 \\geq 0.95\\) is a hard asymptote: an agent that is even marginally mo",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0062",
   "source_file": "thesis.md",
   "source_line": 569,
   "latex": "\\lambda_2",
   "context": "even marginally morally misaligned fails the gate irrespective of how perfectly calibrated the other eight axes are.  **\\(\\lambda_2\\): measurabilityHonesty.** Measures whether an action's declared eff",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0063",
   "source_file": "thesis.md",
   "source_line": 571,
   "latex": "\\lambda_3",
   "context": "ine clause \"no hallucinations no bandaids; test test test\" by making measurement-honesty a prerequisite for passage.  **\\(\\lambda_3\\): epistemicHumility.** Scores the agent's acknowledgment of its own",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0064",
   "source_file": "thesis.md",
   "source_line": 571,
   "latex": "\\lambda_3 = 1 - \\mathbb{E}[|\\text{conf}(c) - \\text{acc}(c)|]",
   "context": "sparse scores low on this axis. The scoring function penalizes unjustified confidence using a calibration-error analog: \\(\\lambda_3 = 1 - \\mathbb{E}[|\\text{conf}(c) - \\text{acc}(c)|]\\) where \\(\\text{c",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0065",
   "source_file": "thesis.md",
   "source_line": 571,
   "latex": "\\text{conf}(c)",
   "context": "ied confidence using a calibration-error analog: \\(\\lambda_3 = 1 - \\mathbb{E}[|\\text{conf}(c) - \\text{acc}(c)|]\\) where \\(\\text{conf}(c)\\) is the agent's stated confidence and \\(\\text{acc}(c)\\) is the",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0066",
   "source_file": "thesis.md",
   "source_line": 571,
   "latex": "\\text{acc}(c)",
   "context": "da_3 = 1 - \\mathbb{E}[|\\text{conf}(c) - \\text{acc}(c)|]\\) where \\(\\text{conf}(c)\\) is the agent's stated confidence and \\(\\text{acc}(c)\\) is the empirically measured accuracy over a calibration set.  ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0067",
   "source_file": "thesis.md",
   "source_line": 573,
   "latex": "\\lambda_4",
   "context": "is the agent's stated confidence and \\(\\text{acc}(c)\\) is the empirically measured accuracy over a calibration set.  **\\(\\lambda_4\\): counterfactualAwareness.** Measures whether the agent has consider",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0068",
   "source_file": "thesis.md",
   "source_line": 575,
   "latex": "\\lambda_5",
   "context": "res 0.0 and a uniformly distributed consequence distribution over the operator-defined consequence space scores 1.0.  **\\(\\lambda_5\\): temporalConsistency.** Measures the stability of the gate verdict",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0069",
   "source_file": "thesis.md",
   "source_line": 575,
   "latex": "t + \\Delta",
   "context": "Measures the stability of the gate verdict under repeated evaluation on the same input at two different times \\(t\\) and \\(t + \\Delta\\). Let \\(v_t\\) and \\(v_{t+\\Delta}\\) denote the Λ₉ composite scores ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0070",
   "source_file": "thesis.md",
   "source_line": 575,
   "latex": "v_{t+\\Delta}",
   "context": "te verdict under repeated evaluation on the same input at two different times \\(t\\) and \\(t + \\Delta\\). Let \\(v_t\\) and \\(v_{t+\\Delta}\\) denote the Λ₉ composite scores at the two evaluation times. The",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0071",
   "source_file": "thesis.md",
   "source_line": 581,
   "latex": "\\lambda_5 = 1.0",
   "context": "Then:  \\[ \\lambda_5 = \\max\\!\\Bigl(0,\\; 1 - 4\\,\\bigl(v_t - v_{t+\\Delta}\\bigr)^2\\Bigr) \\]  A zero-drift evaluation scores \\(\\lambda_5 = 1.0\\). A drift of 0.05 in the composite score yields \\(\\lambda_5 =",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0072",
   "source_file": "thesis.md",
   "source_line": 581,
   "latex": "\\lambda_5 = 0.99",
   "context": "ta}\\bigr)^2\\Bigr) \\]  A zero-drift evaluation scores \\(\\lambda_5 = 1.0\\). A drift of 0.05 in the composite score yields \\(\\lambda_5 = 0.99\\). A drift of 0.25 yields \\(\\lambda_5 = 0.75\\), below the ≥ 0",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0073",
   "source_file": "thesis.md",
   "source_line": 581,
   "latex": "\\lambda_5 = 0.75",
   "context": "scores \\(\\lambda_5 = 1.0\\). A drift of 0.05 in the composite score yields \\(\\lambda_5 = 0.99\\). A drift of 0.25 yields \\(\\lambda_5 = 0.75\\), below the ≥ 0.90 conjunctive floor. This axis operationaliz",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0074",
   "source_file": "thesis.md",
   "source_line": 583,
   "latex": "\\lambda_6",
   "context": "-identical replay guarantee: a system that cannot reproduce its own gate verdict is not operating deterministically.  **\\(\\lambda_6\\): evidenceProvenance.** Measures whether every empirical claim embe",
   "source_id": "thesis_session",
   "maturity": "defined",
   "puriq_ref": "F1",
   "lean_ref": "f1_replay_fold_deterministic"
  },
  {
   "id": "F0075",
   "source_file": "thesis.md",
   "source_line": 585,
   "latex": "\\lambda_7",
   "context": "ertions score at most 0.50. The scoring function is the fraction of claim tokens for which provenance is resolvable.  **\\(\\lambda_7\\): actorIdentity.** Measures the definiteness of the acting agent's ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0076",
   "source_file": "thesis.md",
   "source_line": 587,
   "latex": "\\lambda_8",
   "context": "ting under delegated authority — the score decays as a function of delegation depth to penalize opaque proxy chains.  **\\(\\lambda_8\\): axiomConsistency.** Measures whether the proposed action is inter",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0077",
   "source_file": "thesis.md",
   "source_line": 589,
   "latex": "\\lambda_9",
   "context": "Lean 4 formalization: it enforces, at runtime, the constraints that are statically verified at theorem-proving time.  **\\(\\lambda_9\\): coherence.** Measures the multi-step logical coherence of the age",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0078",
   "source_file": "thesis.md",
   "source_line": 589,
   "latex": "A_1, A_2, \\ldots, A_k",
   "context": "-step logical coherence of the agent's plan across the action sequence, not just for the current step in isolation. Let \\(A_1, A_2, \\ldots, A_k\\) denote the \\(k\\) preceding actions in the current sess",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0079",
   "source_file": "thesis.md",
   "source_line": 589,
   "latex": "(A_i, A_{i+1})",
   "context": "e the \\(k\\) preceding actions in the current session. The coherence score is the proportion of consecutive action-pairs \\((A_i, A_{i+1})\\) for which the precondition of \\(A_{i+1}\\) is satisfied by the",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0080",
   "source_file": "thesis.md",
   "source_line": 589,
   "latex": "A_{i+1}",
   "context": "ion. The coherence score is the proportion of consecutive action-pairs \\((A_i, A_{i+1})\\) for which the precondition of \\(A_{i+1}\\) is satisfied by the postcondition of \\(A_i\\), under the operator's p",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0081",
   "source_file": "thesis.md",
   "source_line": 589,
   "latex": "\\lambda_9 = 1.0",
   "context": "ied by the postcondition of \\(A_i\\), under the operator's precondition/postcondition schema. For the base case \\(k=0\\), \\(\\lambda_9 = 1.0\\).  ### The conjunctive gate condition  The Λ₉ gate passes if ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0082",
   "source_file": "thesis.md",
   "source_line": 599,
   "latex": "\\lambda_1 = 0.50",
   "context": "for the following reason. A single composite score — even a geometric mean — can mask localized failures. An agent with \\(\\lambda_1 = 0.50\\) (severely morally misaligned) and all remaining axes at \\(1",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0083",
   "source_file": "thesis.md",
   "source_line": 599,
   "latex": "\\prod_{i}^{1/9} = 0.50^{1/9} \\approx 0.926",
   "context": "with \\(\\lambda_1 = 0.50\\) (severely morally misaligned) and all remaining axes at \\(1.0\\) achieves a geometric mean of \\(\\prod_{i}^{1/9} = 0.50^{1/9} \\approx 0.926\\), which would pass a ≥ 0.90 single-",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0084",
   "source_file": "thesis.md",
   "source_line": 599,
   "latex": "\\lambda_1",
   "context": "gle-score gate. The conjunctive AND structure prevents this: every axis is a blocking veto. The two elevated floors for \\(\\lambda_1\\) and \\(\\lambda_2\\) add a second layer of asymmetry — these are the ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0085",
   "source_file": "thesis.md",
   "source_line": 599,
   "latex": "\\lambda_2",
   "context": "e conjunctive AND structure prevents this: every axis is a blocking veto. The two elevated floors for \\(\\lambda_1\\) and \\(\\lambda_2\\) add a second layer of asymmetry — these are the axes most directly",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0086",
   "source_file": "thesis.md",
   "source_line": 605,
   "latex": "m \\in \\{0,1\\}^9",
   "context": "to the receipt structure. Rather than publishing the raw nine (or ten) axis scores, the receipt carries a bitfield mask \\(m \\in \\{0,1\\}^9\\) in which \\(m_i = 1\\) if and only if \\(\\lambda_i\\) was evalua",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0087",
   "source_file": "thesis.md",
   "source_line": 605,
   "latex": "m_i = 1",
   "context": "her than publishing the raw nine (or ten) axis scores, the receipt carries a bitfield mask \\(m \\in \\{0,1\\}^9\\) in which \\(m_i = 1\\) if and only if \\(\\lambda_i\\) was evaluated and passed its floor. The",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0088",
   "source_file": "thesis.md",
   "source_line": 605,
   "latex": "\\lambda_i",
   "context": "nine (or ten) axis scores, the receipt carries a bitfield mask \\(m \\in \\{0,1\\}^9\\) in which \\(m_i = 1\\) if and only if \\(\\lambda_i\\) was evaluated and passed its floor. The raw scores are withheld fro",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0089",
   "source_file": "thesis.md",
   "source_line": 611,
   "latex": "\\theta_i = 0.95",
   "context": "ity profile of the agent. Formally, the mask is computed as:  \\[ m_i = \\mathbf{1}[\\lambda_i(c) \\geq \\theta_i] \\]  where \\(\\theta_i = 0.95\\) for \\(i \\in \\{1,2\\}\\) and \\(\\theta_i = 0.90\\) otherwise. The",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0090",
   "source_file": "thesis.md",
   "source_line": 611,
   "latex": "i \\in \\{1,2\\}",
   "context": ". Formally, the mask is computed as:  \\[ m_i = \\mathbf{1}[\\lambda_i(c) \\geq \\theta_i] \\]  where \\(\\theta_i = 0.95\\) for \\(i \\in \\{1,2\\}\\) and \\(\\theta_i = 0.90\\) otherwise. The gate passes iff \\(\\sum_",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0091",
   "source_file": "thesis.md",
   "source_line": 611,
   "latex": "\\theta_i = 0.90",
   "context": "s computed as:  \\[ m_i = \\mathbf{1}[\\lambda_i(c) \\geq \\theta_i] \\]  where \\(\\theta_i = 0.95\\) for \\(i \\in \\{1,2\\}\\) and \\(\\theta_i = 0.90\\) otherwise. The gate passes iff \\(\\sum_i m_i = 9\\) (or 10 und",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0092",
   "source_file": "thesis.md",
   "source_line": 611,
   "latex": "\\sum_i m_i = 9",
   "context": "eq \\theta_i] \\]  where \\(\\theta_i = 0.95\\) for \\(i \\in \\{1,2\\}\\) and \\(\\theta_i = 0.90\\) otherwise. The gate passes iff \\(\\sum_i m_i = 9\\) (or 10 under Λ₁₀). The mask is committed via SHA-256 and incl",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0093",
   "source_file": "thesis.md",
   "source_line": 627,
   "latex": "\\textit{parent\\_hash}",
   "context": "\\textit{timestamp},\\; \\vec{\\lambda},\\; \\rho\\_\\textit{witness\\_set},\\; \\textit{signature}\\bigr) \\]  The fields are:  - **\\(\\textit{parent\\_hash}\\)**: The SHA-256 digest of receipt \\(r_{i-1}\\). For the ",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0094",
   "source_file": "thesis.md",
   "source_line": 627,
   "latex": "r_{i-1}",
   "context": "s\\_set},\\; \\textit{signature}\\bigr) \\]  The fields are:  - **\\(\\textit{parent\\_hash}\\)**: The SHA-256 digest of receipt \\(r_{i-1}\\). For the genesis receipt, this is the SHA-256 of a protocol-specifie",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0095",
   "source_file": "thesis.md",
   "source_line": 628,
   "latex": "\\textit{content\\_digest}",
   "context": "this is the SHA-256 of a protocol-specified null seed. This field creates the backward-pointing link of the chain. - **\\(\\textit{content\\_digest}\\)**: The SHA-256 of the canonical JSON serialization o",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0096",
   "source_file": "thesis.md",
   "source_line": 629,
   "latex": "\\textit{actor}",
   "context": "fore any side-effectful execution. This binds the gate verdict irrevocably to the specific input that triggered it. - **\\(\\textit{actor}\\)**: The identifier of the acting agent as registered in the pr",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0097",
   "source_file": "thesis.md",
   "source_line": 629,
   "latex": "\\lambda_7",
   "context": "t. - **\\(\\textit{actor}\\)**: The identifier of the acting agent as registered in the principal registry. Corresponds to \\(\\lambda_7\\) (actorIdentity). - **\\(\\textit{timestamp}\\)**: A monotonic timesta",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0098",
   "source_file": "thesis.md",
   "source_line": 630,
   "latex": "\\textit{timestamp}",
   "context": "entifier of the acting agent as registered in the principal registry. Corresponds to \\(\\lambda_7\\) (actorIdentity). - **\\(\\textit{timestamp}\\)**: A monotonic timestamp in milliseconds since the Unix e",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0099",
   "source_file": "thesis.md",
   "source_line": 631,
   "latex": "\\vec{\\lambda}",
   "context": ": A monotonic timestamp in milliseconds since the Unix epoch, drawn from a pinned, non-forgeable source (see §4.6). - **\\(\\vec{\\lambda}\\)**: The full nine-dimensional Λ vector, or the `lambda9_mask` b",
   "source_id": "thesis_session",
   "maturity": "defined"
  },
  {
   "id": "F0100",
   "source_file": "thesis.md",
   "source_line": 632,
   "latex": "\\rho\\_\\textit{witness\\_set}",
   "context": "vec{\\lambda}\\)**: The full nine-dimensional Λ vector, or the `lambda9_mask` bitfield under the Λ₁₀ privacy variant. - **\\(\\rho\\_\\textit{witness\\_set}\\)**: The set of co-witnesses whose signatures are ",
   "source_id": "thesis_session",
   "maturity": "defined"
  }
 ],
 "definitions": [],
 "canonical_constants": [
  {
   "id": "K01",
   "name": "receipt_build_p50_us",
   "value": "11.5",
   "unit": "µs",
   "ops_per_sec": "62764",
   "source": "THESIS_BRIEF.md",
   "doi": "10.5281/zenodo.20119582",
   "maturity": "measured"
  },
  {
   "id": "K02",
   "name": "receipt_build_p99_us",
   "value": "50.7",
   "unit": "µs",
   "source": "THESIS_BRIEF.md",
   "doi": "10.5281/zenodo.20119582",
   "maturity": "measured"
  },
  {
   "id": "K03",
   "name": "receipt_verify_p50_us",
   "value": "10.4",
   "unit": "µs",
   "ops_per_sec": "74149",
   "source": "THESIS_BRIEF.md",
   "doi": "10.5281/zenodo.20119582",
   "maturity": "measured"
  },
  {
   "id": "K04",
   "name": "lambda9_base_p50_us",
   "value": "3.12",
   "unit": "µs",
   "source": "THESIS_BRIEF.md",
   "doi": "10.5281/zenodo.20119582",
   "maturity": "measured"
  },
  {
   "id": "K05",
   "name": "lambda9_composed_p50_us",
   "value": "3.29",
   "unit": "µs",
   "source": "THESIS_BRIEF.md",
   "doi": "10.5281/zenodo.20119582",
   "maturity": "measured"
  },
  {
   "id": "K06",
   "name": "rho_closure_rate",
   "value": "100%",
   "denominator": "8000/8000 paired calls",
   "source": "THESIS_BRIEF.md",
   "doi": "10.5281/zenodo.20119582",
   "maturity": "measured"
  },
  {
   "id": "K07",
   "name": "platform_v11_http_calls",
   "value": "24800",
   "source": "THESIS_BRIEF.md",
   "doi": "10.5281/zenodo.20119582",
   "maturity": "measured"
  },
  {
   "id": "K08",
   "name": "platform_v11_lambda10_overhead_p50_ms",
   "value": "0.49-0.59",
   "unit": "ms/route",
   "source": "THESIS_BRIEF.md",
   "doi": "10.5281/zenodo.20119582",
   "maturity": "measured"
  },
  {
   "id": "K09",
   "name": "platform_v11_p99_ms",
   "value": "1.27",
   "unit": "ms",
   "source": "THESIS_BRIEF.md",
   "doi": "10.5281/zenodo.20119582",
   "maturity": "measured"
  },
  {
   "id": "K10",
   "name": "replay_root",
   "value": "1ed4d253e876f428c6e182f8ed8a569585442556b339529bbf8ec2522581698b",
   "source": "THESIS_BRIEF.md",
   "doi": "10.5281/zenodo.20119582",
   "maturity": "measured"
  },
  {
   "id": "K11",
   "name": "test_count_production",
   "value": "218/218",
   "source": "THESIS_BRIEF.md",
   "doi": "10.5281/zenodo.20119582",
   "maturity": "measured"
  },
  {
   "id": "K12",
   "name": "test_count_demo",
   "value": "37/37",
   "source": "replit_payload_build",
   "commit": "demo",
   "maturity": "measured"
  },
  {
   "id": "K13",
   "name": "bekenstein_indicator_fire_rate",
   "value": "49.5%",
   "source": "thesis.md §4.5",
   "doi": "10.5281/zenodo.20119582",
   "maturity": "measured"
  }
 ],
 "extracted_constants": [
  {
   "id": "C0001",
   "name": "receipt_build_p50_us",
   "value": "11.5",
   "raw": "receipt build p50 = 11.5 µs",
   "context": "0).** A production Rust runtime with 218/218 tests passing, receipt build p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec",
   "source_file": "thesis.md",
   "source_line": 83,
   "source_id": "thesis_session"
  },
  {
   "id": "C0003",
   "name": "receipt_verify_p50_us",
   "value": "10.4",
   "raw": "receipt verify p50 = 10.4 µs",
   "context": "ests passing, receipt build p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-closure on 8,000/8,000 paired ca",
   "source_file": "thesis.md",
   "source_line": 83,
   "source_id": "thesis_session"
  },
  {
   "id": "C0008",
   "name": "receipt_build_p99_us",
   "value": "50.7",
   "raw": "p99 = 50.7 µs",
   "context": "→ Receipt` — constructs a receipt envelope; p50 = 11.5 µs, p99 = 50.7 µs, throughput 62,764 ops/sec. - `verify_receipt(receipt) → bool` — verifies byt",
   "source_file": "thesis.md",
   "source_line": 269,
   "source_id": "thesis_session"
  },
  {
   "id": "C0009",
   "name": "ops_per_sec",
   "value": "62764",
   "raw": "62,764 ops/sec",
   "context": "me with 218/218 tests passing, receipt build p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-closure on 8,00",
   "source_file": "thesis.md",
   "source_line": 83,
   "source_id": "thesis_session"
  },
  {
   "id": "C0010",
   "name": "ops_per_sec",
   "value": "74149",
   "raw": "74,149 ops/sec",
   "context": "0 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-closure on 8,000/8,000 paired calls [9]. The runtime enforces ",
   "source_file": "thesis.md",
   "source_line": 83,
   "source_id": "thesis_session"
  },
  {
   "id": "C0023",
   "name": "ops_per_sec",
   "value": "200000",
   "raw": "200,000 ops/sec",
   "context": "arget for the Merkle-DAG upgrade is **5 µs build p50** at **200,000 ops/sec**. This is a 2.3× improvement in latency and a 3.2× improvement in through",
   "source_file": "thesis.md",
   "source_line": 2100,
   "source_id": "thesis_session"
  },
  {
   "id": "C0027",
   "name": "lambda9_base_p50_us",
   "value": "3.12",
   "raw": "Λ₉ base p50 = 3.12 µs",
   "context": "9]. The runtime enforces a 9-axis conjunctive quality gate (Λ₉ base p50 = 3.12 µs) and a Λ₁₀ platform layer with 0.49–0.59 ms/route overhead validated",
   "source_file": "thesis.md",
   "source_line": 83,
   "source_id": "thesis_session"
  },
  {
   "id": "C0029",
   "name": "tests_passed",
   "value": "218",
   "raw": "218/218 passing",
   "context": "ify-p50 with 100% ρ-closure on 8,000/8,000 paired calls and 218/218 passing tests. We propose `lambda9_mask` as a privacy-preserving extension to SCIT",
   "source_file": "thesis.md",
   "source_line": 27,
   "source_id": "thesis_session"
  },
  {
   "id": "C0031",
   "name": "tests_passed",
   "value": "37",
   "raw": "37/37 tests",
   "context": "nt invocations of the same input. The demo payload confirms 37/37 tests passing in the Replit environment (33 `ouroboros` core + 4 `a11oy` covenant), ",
   "source_file": "thesis.md",
   "source_line": 249,
   "source_id": "thesis_session"
  },
  {
   "id": "C0044",
   "name": "http_calls",
   "value": "24800",
   "raw": "24,800 HTTP calls",
   "context": "orm layer with 0.49–0.59 ms/route overhead validated across 24,800 HTTP calls.  2. **Lean 4 formal axioms and proofs (`lutar-lean`).** A Mathlib-groun",
   "source_file": "thesis.md",
   "source_line": 83,
   "source_id": "thesis_session"
  },
  {
   "id": "C0053",
   "name": "lambda_p50_us",
   "value": "11.5",
   "raw": "p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-closure on 8,000/8,000 paired calls [9]. The runtime enforces a 9-axis conjunctive quality gate (Λ",
   "context": "tion Rust runtime with 218/218 tests passing, receipt build p50 = 11.5 µs (62,764 ops/sec), receipt verify p50 = 10.4 µs (74,149 ops/sec), and 100% ρ-",
   "source_file": "thesis.md",
   "source_line": 83,
   "source_id": "thesis_session"
  },
  {
   "id": "C0054",
   "name": "lambda_p50_us",
   "value": "3.12",
   "raw": "p50 = 3.12 µs) and a Λ",
   "context": "runtime enforces a 9-axis conjunctive quality gate (Λ₉ base p50 = 3.12 µs) and a Λ₁₀ platform layer with 0.49–0.59 ms/route overhead validated across ",
   "source_file": "thesis.md",
   "source_line": 83,
   "source_id": "thesis_session"
  },
  {
   "id": "C0055",
   "name": "receipt_build_p99_us",
   "value": "50.7",
   "raw": "p99 = 50.7 µs",
   "context": "bers - **218/218 tests** - Receipt build p50 = **11.5 µs**, p99 = 50.7 µs (62,764 ops/sec) - Receipt verify p50 = **10.4 µs** (74,149 ops/sec) - Λ₉ ba",
   "source_file": "THESIS_BRIEF.md",
   "source_line": 57,
   "source_id": "thesis_brief"
  },
  {
   "id": "C0056",
   "name": "ops_per_sec",
   "value": "62764",
   "raw": "62,764 ops/sec",
   "context": "8 tests** - Receipt build p50 = **11.5 µs**, p99 = 50.7 µs (62,764 ops/sec) - Receipt verify p50 = **10.4 µs** (74,149 ops/sec) - Λ₉ base p50 = 3.12 µ",
   "source_file": "THESIS_BRIEF.md",
   "source_line": 57,
   "source_id": "thesis_brief"
  },
  {
   "id": "C0057",
   "name": "ops_per_sec",
   "value": "74149",
   "raw": "74,149 ops/sec",
   "context": "0.7 µs (62,764 ops/sec) - Receipt verify p50 = **10.4 µs** (74,149 ops/sec) - Λ₉ base p50 = 3.12 µs / composed p50 = 3.29 µs - 100% ρ-closure on **8,0",
   "source_file": "THESIS_BRIEF.md",
   "source_line": 58,
   "source_id": "thesis_brief"
  },
  {
   "id": "C0058",
   "name": "lambda9_base_p50_us",
   "value": "3.12",
   "raw": "Λ₉ base p50 = 3.12 µs",
   "context": "/sec) - Receipt verify p50 = **10.4 µs** (74,149 ops/sec) - Λ₉ base p50 = 3.12 µs / composed p50 = 3.29 µs - 100% ρ-closure on **8,000/8,000 paired ca",
   "source_file": "THESIS_BRIEF.md",
   "source_line": 59,
   "source_id": "thesis_brief"
  },
  {
   "id": "C0059",
   "name": "tests_passed",
   "value": "218",
   "raw": "218/218 tests",
   "context": "boros v6.3.0 (released 2026-05-13) — production numbers - **218/218 tests** - Receipt build p50 = **11.5 µs**, p99 = 50.7 µs (62,764 ops/sec) - Receip",
   "source_file": "THESIS_BRIEF.md",
   "source_line": 56,
   "source_id": "thesis_brief"
  },
  {
   "id": "C0060",
   "name": "tests_passed",
   "value": "37",
   "raw": "37/37 tests",
   "context": "plit demo payload (verified live 2026-05-15 at 11:22 EDT) - 37/37 tests passing (33 ouroboros core + 4 a11oy covenant) - `bash scripts/doctrine-check.",
   "source_file": "THESIS_BRIEF.md",
   "source_line": 68,
   "source_id": "thesis_brief"
  },
  {
   "id": "C0061",
   "name": "http_calls",
   "value": "24800",
   "raw": "24,800 HTTP calls",
   "context": "ρ-closure on **8,000/8,000 paired calls** - Platform v11: **24,800 HTTP calls validated**, Λ₁₀ overhead 0.49–0.59 ms/route, p99 ≤ 1.27 ms - Apache-2.0",
   "source_file": "THESIS_BRIEF.md",
   "source_line": 61,
   "source_id": "thesis_brief"
  },
  {
   "id": "C0062",
   "name": "receipt_build_p50_us",
   "value": "11.5",
   "raw": "Receipt build p50 = 11.5 µs",
   "context": "e not. | 12–18 months — they have a runtime, not a kernel | Receipt build p50 = 11.5 µs · v11 DOI [`zenodo.20119582`](https://doi.org/10.5281/zenodo.2",
   "source_file": "master_evolution_memo.md",
   "source_line": 81,
   "source_id": "master_memo"
  },
  {
   "id": "C0064",
   "name": "receipt_build_p99_us",
   "value": "50.7",
   "raw": "p99 = 50.7 µs",
   "context": "218 / 218 passing** | | Receipt build | p50 = **11.5 µs** · p99 = 50.7 µs · 62,764 ops/sec | | Receipt verify | p50 = **10.4 µs** · 74,149 ops/sec | |",
   "source_file": "master_evolution_memo.md",
   "source_line": 36,
   "source_id": "master_memo"
  },
  {
   "id": "C0065",
   "name": "ops_per_sec",
   "value": "62764",
   "raw": "62,764 ops/sec",
   "context": "g** | | Receipt build | p50 = **11.5 µs** · p99 = 50.7 µs · 62,764 ops/sec | | Receipt verify | p50 = **10.4 µs** · 74,149 ops/sec | | Λ₉ base | p50 =",
   "source_file": "master_evolution_memo.md",
   "source_line": 36,
   "source_id": "master_memo"
  },
  {
   "id": "C0066",
   "name": "ops_per_sec",
   "value": "74149",
   "raw": "74,149 ops/sec",
   "context": "s · 62,764 ops/sec | | Receipt verify | p50 = **10.4 µs** · 74,149 ops/sec | | Λ₉ base | p50 = 3.12 µs | | Λ₉ composed | p50 = **3.29 µs** | | ρ-closu",
   "source_file": "master_evolution_memo.md",
   "source_line": 37,
   "source_id": "master_memo"
  },
  {
   "id": "C0067",
   "name": "tests_passed",
   "value": "37",
   "raw": "37/37 tests",
   "context": "ic-facing Replit demo (`replit_a11oy_demo`) currently shows 37/37 tests passing. The upstream runtime is **218/218**. Every Series A diligence visitor",
   "source_file": "master_evolution_memo.md",
   "source_line": 141,
   "source_id": "master_memo"
  },
  {
   "id": "C0068",
   "name": "tests_passed",
   "value": "218",
   "raw": "218/218 tests",
   "context": "astructure.  **Success metric:** the Replit demo URL shows \"218/218 tests · v6.3.0 · OpenSSF 8.2\" with the same badge as the canonical repo, refreshed",
   "source_file": "master_evolution_memo.md",
   "source_line": 152,
   "source_id": "master_memo"
  },
  {
   "id": "C0070",
   "name": "receipt_build_p50_us",
   "value": "11.5",
   "raw": "Receipt build p50=11.5 µs",
   "context": "rg/doc/draft-morrow-sogomonian-exec-outcome-attest/00/)). | Receipt build p50=11.5 µs, 218/218 tests, v11 DOI: [10.5281/zenodo.20119582](https://doi.o",
   "source_file": "pm_memo.md",
   "source_line": 54,
   "source_id": "pm_memo"
  },
  {
   "id": "C0072",
   "name": "ops_per_sec",
   "value": "62764",
   "raw": "62,764 ops/sec",
   "context": "Claim:** Receipt build p50 = 11.5 µs, verify p50 = 10.4 µs, 62,764 ops/sec, 218/218 runtime tests, ρ-closure 8,000/8,000, byte-identical replay root `",
   "source_file": "pm_memo.md",
   "source_line": 81,
   "source_id": "pm_memo"
  },
  {
   "id": "C0073",
   "name": "tests_passed",
   "value": "218",
   "raw": "218/218 tests",
   "context": "ian-exec-outcome-attest/00/)). | Receipt build p50=11.5 µs, 218/218 tests, v11 DOI: [10.5281/zenodo.20119582](https://doi.org/10.5281/zenodo.20119582)",
   "source_file": "pm_memo.md",
   "source_line": 54,
   "source_id": "pm_memo"
  },
  {
   "id": "C0076",
   "name": "tests_passed",
   "value": "37",
   "raw": "37/37 tests",
   "context": "arity + Public Scorecard  **Thesis:** The Replit demo shows 37/37 tests (ouroboros 33 + a11oy 4). The live runtime is 218/218. This delta undersells t",
   "source_file": "pm_memo.md",
   "source_line": 135,
   "source_id": "pm_memo"
  },
  {
   "id": "C0077",
   "name": "http_calls",
   "value": "24800",
   "raw": "24,800 HTTP calls",
   "context": "ships a Λ₉-gated resource. | Ouroboros v6.3.0 platform v11: 24,800 HTTP calls, Λ₁₀ overhead 0.49–0.59 ms/route | | **Mastra** ([mastra.ai](https://mas",
   "source_file": "pm_memo.md",
   "source_line": 57,
   "source_id": "pm_memo"
  },
  {
   "id": "C0078",
   "name": "receipt_build_p50_us",
   "value": "11.5",
   "raw": "Receipt build p50 = 11.5 µs",
   "context": "-witness guarantee baked into `ouroboros`'s runtime kernel. Receipt build p50 = 11.5 µs; verify p50 = 10.4 µs; 100% ρ-closure on 8,000/8,000 paired ca",
   "source_file": "cto_memo.md",
   "source_line": 78,
   "source_id": "cto_memo"
  },
  {
   "id": "C0079",
   "name": "ops_per_sec",
   "value": "62764",
   "raw": "62,764 ops/sec",
   "context": "in · p50 = 11.5 µs build / 10.4 µs verify · 218/218 tests · 62,764 ops/sec | | `a11oy` | Covenant policy + approval queue | **HEART** (consent + pulse",
   "source_file": "cto_memo.md",
   "source_line": 18,
   "source_id": "cto_memo"
  },
  {
   "id": "C0080",
   "name": "tests_passed",
   "value": "218",
   "raw": "218/218 tests",
   "context": "ss · receipt chain · p50 = 11.5 µs build / 10.4 µs verify · 218/218 tests · 62,764 ops/sec | | `a11oy` | Covenant policy + approval queue | **HEART** ",
   "source_file": "cto_memo.md",
   "source_line": 18,
   "source_id": "cto_memo"
  },
  {
   "id": "C0081",
   "name": "ops_per_sec",
   "value": "62764",
   "raw": "62,764 ops/sec",
   "context": "218 / 218 passing | 100% | | Receipt build p50 | 11.5 µs | 62,764 ops/sec | | Receipt build p99 | 50.7 µs | — | | Receipt verify p50 | 10.4 µs | 74,14",
   "source_file": "runtime_memo.md",
   "source_line": 20,
   "source_id": "runtime_memo"
  },
  {
   "id": "C0082",
   "name": "ops_per_sec",
   "value": "74149",
   "raw": "74,149 ops/sec",
   "context": "build p99 | 50.7 µs | — | | Receipt verify p50 | 10.4 µs | 74,149 ops/sec | | Λ₉ base p50 | 3.12 µs | — | | Λ₉ composed p50 | 3.29 µs | — | | ρ-closur",
   "source_file": "runtime_memo.md",
   "source_line": 22,
   "source_id": "runtime_memo"
  },
  {
   "id": "C0083",
   "name": "tests_passed",
   "value": "218",
   "raw": "218/218 tests",
   "context": "ary (5 lines)  The ouroboros v6.3.0 runtime is confirmed at 218/218 tests, receipt build p50 11.5 µs, Λ₉ composed p50 3.29 µs, and 100% ρ-closure — al",
   "source_file": "runtime_memo.md",
   "source_line": 404,
   "source_id": "runtime_memo"
  },
  {
   "id": "C0084",
   "name": "http_calls",
   "value": "11",
   "raw": "11 HTTP calls",
   "context": "9 µs | — | | ρ-closure | 8,000 / 8,000 | 100% | | Platform v11 HTTP calls | 24,800 | — | | Λ overhead p50 per route | 0.49–0.59 ms | — | | Λ overhead ",
   "source_file": "runtime_memo.md",
   "source_line": 26,
   "source_id": "runtime_memo"
  },
  {
   "id": "C0085",
   "name": "ops_per_sec",
   "value": "74149",
   "raw": "74,149 ops/sec",
   "context": "pt verify p50 | **10.4 µs** | | Receipt verify throughput | 74,149 ops/sec | | Λ₉ base p50 | 3.12 µs | | Λ₉ composed p50 | 3.29 µs | | ρ-closure | 100",
   "source_file": "data_memo.md",
   "source_line": 419,
   "source_id": "data_memo"
  }
 ],
 "dois": [
  {
   "doi": "10.5281/zenodo.19944926",
   "url": "https://doi.org/10.5281/zenodo.19944926",
   "source_file": "thesis.md",
   "source_line": 18,
   "source_id": "thesis_session"
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  {
   "doi": "10.5281/zenodo.20119582",
   "url": "https://doi.org/10.5281/zenodo.20119582",
   "source_file": "thesis.md",
   "source_line": 19,
   "source_id": "thesis_session"
  },
  {
   "doi": "10.5281/zenodo.19867281",
   "url": "https://doi.org/10.5281/zenodo.19867281",
   "source_file": "thesis.md",
   "source_line": 1740,
   "source_id": "thesis_session"
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  {
   "doi": "10.5281/zenodo.19934129",
   "url": "https://doi.org/10.5281/zenodo.19934129",
   "source_file": "thesis.md",
   "source_line": 1741,
   "source_id": "thesis_session"
  },
  {
   "doi": "10.5281/zenodo.19983066",
   "url": "https://doi.org/10.5281/zenodo.19983066",
   "source_file": "thesis.md",
   "source_line": 1743,
   "source_id": "thesis_session"
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  {
   "doi": "10.5281/zenodo.20020841",
   "url": "https://doi.org/10.5281/zenodo.20020841",
   "source_file": "thesis.md",
   "source_line": 1744,
   "source_id": "thesis_session"
  },
  {
   "doi": "10.5281/zenodo.20020845",
   "url": "https://doi.org/10.5281/zenodo.20020845",
   "source_file": "thesis.md",
   "source_line": 1745,
   "source_id": "thesis_session"
  },
  {
   "doi": "10.5281/zenodo.20020846",
   "url": "https://doi.org/10.5281/zenodo.20020846",
   "source_file": "thesis.md",
   "source_line": 1746,
   "source_id": "thesis_session"
  },
  {
   "doi": "10.5281/zenodo.20020848",
   "url": "https://doi.org/10.5281/zenodo.20020848",
   "source_file": "thesis.md",
   "source_line": 1747,
   "source_id": "thesis_session"
  },
  {
   "doi": "10.5281/zenodo.20020849",
   "url": "https://doi.org/10.5281/zenodo.20020849",
   "source_file": "thesis.md",
   "source_line": 1748,
   "source_id": "thesis_session"
  },
  {
   "doi": "10.5281/zenodo.20053148",
   "url": "https://doi.org/10.5281/zenodo.20053148",
   "source_file": "thesis.md",
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   "source_id": "thesis_session"
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  {
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   "source_file": "thesis.md",
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   "source_id": "thesis_session"
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  {
   "doi": "10.5281/zenodo.20162352",
   "url": "https://doi.org/10.5281/zenodo.20162352",
   "source_file": "thesis.md",
   "source_line": 1752,
   "source_id": "thesis_session"
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 ],
 "doctrine_clauses": [
  {
   "id": "DC1",
   "clause": "Byline must be 'Lutar, Stephen P.' — never 'Jr.' or 'Stephen Paul'",
   "source": "THESIS_BRIEF.md"
  },
  {
   "id": "DC2",
   "clause": "8 forbidden patterns: see doctrine.json (FP-1..FP-8)",
   "source": "PM_LEAD_CHARTER_V2.md"
  },
  {
   "id": "DC3",
   "clause": "License allow-list: Apache-2.0, MIT, BSD-3-Clause, CC-BY-4.0",
   "source": "THESIS_BRIEF.md"
  },
  {
   "id": "DC4",
   "clause": "ORCID: 0009-0001-0110-4173",
   "source": "THESIS_BRIEF.md"
  },
  {
   "id": "DC5",
   "clause": "9-axis Λ >= 0.90 conjunctive AND; moralGrounding + measurabilityHonesty >= 0.95",
   "source": "THESIS_BRIEF.md"
  },
  {
   "id": "DC6",
   "clause": "Public-only ingestion: no private data, no proprietary code",
   "source": "THESIS_BRIEF.md"
  },
  {
   "id": "DC7",
   "clause": "5x byte-identical replay (deterministic)",
   "source": "THESIS_BRIEF.md"
  },
  {
   "id": "DC8",
   "clause": "No hallucinations; every empirical claim cites a verifiable artifact",
   "source": "THESIS_BRIEF.md"
  }
 ],
 "source_files": [
  "thesis.md",
  "THESIS_BRIEF.md",
  "master_evolution_memo.md",
  "pm_memo.md",
  "cto_memo.md",
  "runtime_memo.md",
  "governance_memo.md",
  "data_memo.md",
  "anatomy_memo.md"
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 "zenodo_corpus": [
  "10.5281/zenodo.19867281",
  "10.5281/zenodo.19934129",
  "10.5281/zenodo.19944926",
  "10.5281/zenodo.19983066",
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  "10.5281/zenodo.20020849",
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  "10.5281/zenodo.20053163",
  "10.5281/zenodo.20119582",
  "10.5281/zenodo.20162352"
 ],
 "proof_summary": {
  "locked_proven": 8,
  "locked_ids": [
   "F1",
   "F4",
   "F7",
   "F11",
   "F12",
   "F18",
   "F19",
   "F22"
  ],
  "locked_count_theorem": "locked_count_eight",
  "newly_proven": {
   "F4": "Khipu DAG acyclicity preservation (f4_khipu_dag_acyclic_preserved / f4_khipu_no_cycle / f4_khipu_reach_decreases / f4_khipu_append_preserves): appending a fresh node to the Khipu DAG preserves acyclicity \u2014 no receipt can ever cycle back on itself.",
   "F7": "Chaski FIFO reception ordering (f7_chaski_fifo_order / f7_chaski_fifo_positional / f7_chaski_drain_eq): messages drain from the Chaski channel in exactly the order sent.",
   "F22": "Khipu emit append-only monotonicity (f22_khipu_emit_monotone / f22_emit_appends_length / f22_emit_strictly_greater): every Khipu emit strictly increases the ledger index \u2014 append-only, never rewrites history."
  },
  "experimental_sorry_free": 21,
  "axiom_gated": 3,
  "axiom_gated_detail": {
   "f13_tamper_evident": "hash_collision_resistant",
   "f14_dsse_verifiable": "ecdsa_unforgeable",
   "f15_inclusion_binding": "h2_collision_resistant"
  },
  "conjecture": [
   "F23"
  ],
  "note": "Locked kernel proven=8 (locked_count_eight, no-axiom); experimental scope Lutar/Puriq/Formulas has 21 sorry-free (excluded from locked count); F23 = Conjecture 1, NOT a theorem.",
  "lean_repo": "szl-holdings/lutar-lean",
  "lean_files": [
   "Lutar/Puriq/Formulas/PuriqFormulaLean.lean",
   "Lutar/Puriq/Formulas/F23_Uniqueness.lean"
  ],
  "verification": "bare `lean` 4.13.0, 0 errors, 1 sorry (F23 only); #print axioms shows no sorryAx in any proved theorem.",
  "source_report": "team/PROOFS_WAVE2_REPORT.md",
  "wave3": {
   "campaign": "prove-wave-3 (C1-C20 research candidates)",
   "source_report": "team/PROVE_WAVE3_REPORT.md",
   "lean_repo": "szl-holdings/lutar-lean",
   "commit_proofs": "775093f0f8ef7f530272c38d513c28fdaec3366b",
   "commit_root_wiring": "02e44c30657c9986475ff7373113728f4ba38f67",
   "lean_files": [
    "Lutar/Wave3/Consensus.lean",
    "Lutar/Wave3/MerkleKraft.lean",
    "Lutar/Wave3/InfoEstim.lean",
    "Lutar/Wave3/Tier1Mathlib.lean (CI-pending, not wired into lake build)"
   ],
   "verification": "Mathlib-free modules bare-`lean` 4.13.0 verified sorry-free (0 errors); #print axioms ledger shows no sorryAx. Tier1Mathlib (C1/C2/C6) is Mathlib-dependent and CI-pending, NOT compiled in sandbox.",
   "new_proven_sorry_free": 19,
   "new_proven_ids": [
    "C8",
    "C9",
    "C10",
    "C11",
    "C12",
    "C17",
    "C20"
   ],
   "new_axiom_gated": 4,
   "new_axiom_gated_detail": {
    "c13_md_step_cr": "compression_collision_resistant",
    "c13a_md_append_cr": "compression_collision_resistant",
    "c14_merkle_binding": "node_collision_resistant, leaf_collision_resistant, domain_separation",
    "c14b_no_second_preimage": "domain_separation (structural tag only, no hardness)"
   },
   "ci_pending": [
    "C1",
    "C2",
    "C6"
   ],
   "ci_pending_detail": "C1 tsirelson_inequality, C2 CHSH_inequality_of_comm, C6 ConvexOn.map_sum_le re-exports; Mathlib-dependent, awaiting green lake build.",
   "maturity": {
    "C1": "ci-pending",
    "C2": "ci-pending",
    "C3": "mathlib-available-not-instantiated",
    "C4": "mathlib-available-not-instantiated",
    "C5": "mathlib-available-not-instantiated",
    "C6": "ci-pending",
    "C7": "axiom-gated (A6_bisymmetric); Lambda still Conjecture 1",
    "C8": "proven",
    "C9": "proven (Mathlib-free fragment; full L>=H is Mathlib target)",
    "C10": "proven",
    "C11": "proven",
    "C12": "proven (bivalence core; full FLP not claimed)",
    "C13": "axiom-gated",
    "C14": "axiom-gated",
    "C15": "lean-exists-not-ported",
    "C16": "not-attempted",
    "C17": "proven (Mathlib-free scalar core; full matrix-PSD is Mathlib target)",
    "C18": "lean-exists-not-ported",
    "C19": "not-attempted",
    "C20": "proven (Mathlib-free order-preservation core; tight 1/2-Lipschitz is Mathlib target)"
   },
   "lambda_status": "F23 = Conjecture 1 (UNCHANGED). C7 is conditional only, via the DECLARED axiom A6_bisymmetric in F23_Uniqueness.lean; unconditional uniqueness is FALSE under A1-A5 (maxAgg_ne_Lambda).",
   "locked_kernel": "749/14/163 @ c7c0ba17 (Doctrine v11) UNCHANGED; wave3 is experimental and counter-excluded from the locked count.",
   "headline": "+19 sorry-free (Lean-core axioms only, bare-lean verified), +4 axiom-gated (declared idealizations), 3 Mathlib re-exports CI-pending, Lambda still Conjecture 1."
  },
  "wave4": {
   "campaign": "prove-wave-4 (conditional Lambda uniqueness on the WEAKER block-consistency axiom)",
   "source_report": "team/PROVE_WAVE4_REPORT.md",
   "candidate_research": "team/RESEARCH_WAVE4/CANDIDATE_FORMULAS_V4.md",
   "lean_repo": "szl-holdings/lutar-lean",
   "commit_final": "043c3df4bcbe55c60f1ce2d5c59b91284a7cc1d4",
   "commit_ci_green_lambda": "52d9bf542bcb1adb8a0a5a5de694f2ca96bf9b68",
   "lean_files": [
    "Lutar/Wave4/LambdaBlockConsistency.lean (Mathlib-dependent, CI-green: lake build + kernel check success @ 043c3df)",
    "Lutar/Wave4/LambdaBisymmetryWitness.lean (bare-`lean` 4.13.0 verified sorry-free, ZERO axioms; also CI-green)",
    "Lutar/Wave3/Tier1Mathlib.lean (CI-PENDING, NOT wired into the compiled root)"
   ],
   "ci_status": "build + lake build + numbers + check/doctrine all GREEN @ 043c3df; only doi-title-gate fails (PRE-EXISTING live-network README DOI check, unrelated to wave4).",
   "verification": "LambdaBlockConsistency kernel-checked by lutar-lean CI lake build (green). LambdaBisymmetryWitness bare-`lean` verified: all 6 theorems 'do not depend on any axioms'. Every theorem carries #print axioms.",
   "new_proven_ci_green": {
    "lambda_unique_under_block": "CLOSED, conditional on declared axiom A6'_block_consistent; #print axioms = [A6'_block_consistent, propext, Quot.sound, Classical.choice]",
    "lambda_factors": "CLOSED, AXIOM-FREE (Mathlib core only): Lambda factors with exponents 1/k, so A6' is non-vacuous",
    "unconditional_lambda_is_false": "CLOSED (= maxAgg_ne_Lambda): unconditional Lambda uniqueness is FALSE under A1-A5"
   },
   "witness_theorems_zero_axiom": [
    "Fmax_not_strict",
    "Fmin_not_strict",
    "geo_separates_where_max_collapses",
    "geo_bisym_product_eq",
    "geo_fourth_root_consistent",
    "geo_inner_products_consistent"
   ],
   "lambda_axiom_set": "{A1,A2,A3,A4,A5} + A6'_block_consistent (single DECLARED, disclosed, NON-core axiom).",
   "lambda_weakest_axiom": "Cleanest published: Aczel-Saaty 1983 (doi:10.1016/0022-2496(83)90028-7) = reciprocity + positive homogeneity (A2 already assumed). Weakest governance-natural & formalized: Csato 2018 block-consistency / aggregation-invariance (doi:10.1007/s10726-018-9589-3, arXiv:1706.07256), WEAKER than the prior A6_bisymmetric.",
   "lambda_status": "F23 = Conjecture 1 (UNCHANGED, unconditional). Conditional uniqueness now CI-green on the WEAKER A6'_block_consistent (lambda_unique_under_block), superseding the stronger A6_bisymmetric route. Unconditional uniqueness FALSE (maxAgg_ne_Lambda). NEVER conflated.",
   "ci_pending": [
    "C1",
    "C2",
    "C6"
   ],
   "ci_pending_detail": "C1 tsirelson_inequality / C2 CHSH_inequality_of_comm / C6 ConvexOn.map_sum_le re-exports. Signatures verified VERBATIM vs pinned Mathlib d731765, but wiring Tier1Mathlib into the compiled root reproducibly red-lights lake build (bisected: a4299fb/52d9bf5 un-wired = green). Exact error not retrievable (CI log download proxy-blocked). File stays in-tree, NOT imported; NOT claimed proven.",
   "locked_kernel": "749/14/163 @ c7c0ba17 UNCHANGED",
   "locked_proven": 8,
   "canonical_numbers": {
    "declarations": 1182,
    "axioms_raw": 20,
    "axioms_unique": 19,
    "new_axiom": "A6'_block_consistent (declared, disclosed, NON-core, NOT in locked kernel)",
    "sorries_raw": 308,
    "sorries_noncomment": 256,
    "drift_gate": "PASS"
   },
   "citations": [
    "Aczel 1948",
    "Aczel-Saaty 1983 doi:10.1016/0022-2496(83)90028-7",
    "Csato 2018 doi:10.1007/s10726-018-9589-3 arXiv:1706.07256",
    "Kolmogorov 1930",
    "Maksa-Munnich-Mokken",
    "Burai-Kiss-Szokol 2021"
   ]
  },
  "wave5": {
   "campaign": "prove-wave-5: un-block C1/C2/C6 Mathlib re-exports (CI-GREEN) + new substrate re-exports (AM-GM/Cauchy-Schwarz) + Mathlib-free discrete substrate guarantees (bare-lean verified)",
   "source_report": "team/PROVE_WAVE5_REPORT.md",
   "lean_repo": "szl-holdings/lutar-lean",
   "branch": "prove-wave5/c1c2c6-rewire-plus-amgm-cs",
   "pull_request": "https://github.com/szl-holdings/lutar-lean/pull/186",
   "commit_ci_green": "0a552a90dd7f3b8b668ae761bf6e39eca17c62f1",
   "ci_run_ids": {
    "lean_kernel_check": "27053443102 (success)",
    "lake_build_gate_numbers": "27053443099 (success)",
    "doctrine": "27053443200 (success)",
    "dco": "27053443096 (success)"
   },
   "ci_status": "build (Lean kernel check) + lake build + numbers + check/doctrine + DCO all GREEN @ 0a552a90 (and @ 099d6caa). Only doi-title-gate + PR-title-lint fail (PRE-EXISTING / cosmetic, unrelated to proofs).",
   "headline": "C1 Tsirelson 2sqrt2 / C2 CHSH<=2 / C6 Jensen are now CI-GREEN (wave-4 had them CI-PENDING). Root cause fixed: dropped the non-load-bearing c1a_tsirelson_constant numeric remark and its two extra SpecialFunctions imports, minimizing Tier1Mathlib's build closure to exactly the two modules that define the instantiated theorems.",
   "ci_green_mathlib_dependent": {
    "Wave3.Tier1.c1_lutar_omega_tsirelson_ceiling": "C1 Tsirelson 2sqrt2 ceiling (tsirelson_inequality) — PROVEN, CI-green. EPR-Bell governance diagnostic (entangled-agent ceiling).",
    "Wave3.Tier1.c2_lutar_omega_classical_ceiling": "C2 CHSH classical ceiling <=2 (CHSH_inequality_of_comm) — PROVEN, CI-green. Local/independent-prior agent ceiling.",
    "Wave3.Tier1.c6_jensen_forecaster": "C6 finite Jensen (ConvexOn.map_sum_le) — PROVEN, CI-green. Active-inference ELBO-direction conservative forecaster.",
    "Wave5.MathlibCore.w5_1_lambda_le_arith_mean": "W5-1 weighted AM-GM (Real.geom_mean_le_arith_mean_weighted) — PROVEN, CI-green. Lambda (geometric-mean aggregator) <= arithmetic mean: no-inflation guarantee.",
    "Wave5.MathlibCore.w5_1b_lambda2_le_arith_mean": "W5-1b two-point weighted AM-GM — PROVEN, CI-green. Pairwise consensus diagnostic.",
    "Wave5.MathlibCore.w5_2_trust_inner_le_norm": "W5-2 Cauchy-Schwarz (real_inner_le_norm) — PROVEN, CI-green. Trust-vector similarity bound (cosine in [-1,1])."
   },
   "proven_mathlib_free_bare_lean": {
    "Wave5.DiscreteSubstrate.w5_3a_miscover_le_total": "miscoverage<=sample size. axioms=[propext]. killinchu conformal coverage.",
    "Wave5.DiscreteSubstrate.w5_3b_cover_miscover_partition": "covered+miscovered=total. axioms=[propext, Quot.sound]. coverage=1-miscoverage conservation.",
    "Wave5.DiscreteSubstrate.w5_3c_threshold_count_mono": "stricter threshold selects fewer. axioms=[propext, Quot.sound]. a11oy threshold monotonicity.",
    "Wave5.DiscreteSubstrate.w5_4_collision_of_image_dup": "image-duplicate => hash collision (pigeonhole). axioms=[propext, Classical.choice, Quot.sound]. UDS forgery-detection.",
    "Wave5.DiscreteSubstrate.w5_5_no_early_stop_deflation": "monotone optional-stopping anti-deflation. ZERO axioms. UDS receipt-stream anti-gaming."
   },
   "axiom_disclosure": "Mathlib-dependent re-exports use the standard Mathlib trio [propext, Classical.choice, Quot.sound] (NO sorryAx, NO declared Lutar axioms); their #print axioms are emitted in the CI build log (blob log download proxy-blocked here, but the build is green and they are pure term-mode instantiations of axiom-clean Mathlib theorems). Mathlib-free theorems' #print axioms pasted verbatim in PROVE_WAVE5_REPORT.md section 3 (bare lean 4.13.0, exit 0).",
   "not_available_at_pinned_mathlib": "C3 Hoeffding / C4 Azuma (Mathlib.Probability.Moments.SubGaussian) and C5 KL>=0 (Mathlib.InformationTheory.KullbackLeibler.Basic) modules DO NOT EXIST at the pinned rev d7317655 (v4.13.0) — verified HTTP 404. They cannot be re-exported on this toolchain; deferred to a future Mathlib bump. Honestly NOT claimed.",
   "lambda_status": "Lambda (F23) STAYS Conjecture 1 unconditionally. W5-1 AM-GM is a building block Lambda relies on; it does NOT prove uniqueness. Unconditional uniqueness remains FALSE (wave-4 counterexample in-tree).",
   "locked_kernel": "749/14/163 @ c7c0ba17 UNCHANGED. locked_proven=8 (locked_count_eight; F4/F7/F22 joined the prior 5). All wave-5 work is experimental scope (counter-excluded).",
   "canonical_numbers": {
    "declarations": 1189,
    "axioms_raw": 20,
    "axioms_unique": 19,
    "sorries_raw": 308,
    "sorries_noncomment": 256,
    "delta_decls_from_wave4": "+5 net (1184->1189; -1 c1a, +3 MathlibCore, +5 DiscreteSubstrate vs wave4 baseline 1182 -> 1189)"
   },
   "citations": [
    "Tsirelson (1980) doi:10.1007/BF00417500",
    "CHSH (1969) doi:10.1103/PhysRevLett.23.880",
    "Jensen (1906)",
    "Hardy-Littlewood-Polya, Inequalities (1934) [AM-GM]",
    "Cauchy (1821); Schwarz (1888)",
    "Vovk-Gammerman-Shafer (2005); Lei et al. (2018) JASA 113:1094 [conformal]",
    "Dirichlet (1834) [pigeonhole]",
    "Doob (1953) Stochastic Processes [optional stopping]"
   ]
  },
  "experimental_sorry_free_note": "wave5 adds 11 kernel-verified experimental theorems (6 Mathlib-dependent CI-green: C1/C2/C6 + W5-1/W5-1b/W5-2; 5 Mathlib-free bare-lean: W5-3a/b/c, W5-4, W5-5). Prior experimental_sorry_free baseline was 21 (wave-2 F-pack ceiling).",
  "wave5_proven_count": {
   "mathlib_dependent_ci_green": 6,
   "mathlib_free_bare_lean": 5,
   "total_new": 11
  },
  "wave6": {
   "campaign": "prove-wave-6 (graph substrate)",
   "pull_request": "https://github.com/szl-holdings/lutar-lean/pull/189",
   "commit_ci_green": "dc7ae26d",
   "ci_status": "GREEN (Lean kernel check + lake build+numbers + doctrine + DCO)",
   "count": 11,
   "axioms": "0 new",
   "new_proven_ids": [
    "F-G1",
    "F-G2",
    "F-G3",
    "F-G4",
    "F-G5",
    "F-G6"
   ],
   "headline": "Frechet/Kuratowski embedding core, GNN<=1-WL ceiling, spectral contraction, Lambda-graph iso-invariance, bounded-frontier DAG termination, relabel-invariance",
   "maturity": "experimental-CI-green",
   "locked_kernel": "749/14/163 @ c7c0ba17 UNCHANGED; experimental scope"
  },
  "wave7": {
   "campaign": "prove-wave-7",
   "pull_request": "https://github.com/szl-holdings/lutar-lean/pull/190",
   "commit_ci_green": "d6a232ba",
   "ci_status": "GREEN",
   "count": 10,
   "axioms": "0 new",
   "new_proven_ci_green": [
    "W7-1a",
    "W7-1",
    "W7-5a",
    "W7-5b",
    "W7-5"
   ],
   "new_proven_bare_lean": [
    "W7-4a",
    "W7-4b",
    "W7-4c",
    "W7-6a",
    "W7-6"
   ],
   "headline": "conformal rank-count/p-value + Doob two-sided audit envelope + degree-sum iso-invariance + PAC-Bayes routing envelope",
   "maturity": "experimental-CI-green",
   "locked_kernel": "749/14/163 @ c7c0ba17 UNCHANGED; experimental scope"
  },
  "agentic_loop": {
   "campaign": "prove-agentic-loop (the governed RAG->MCP->kernel->receipt loop, proven as a SYSTEM)",
   "pull_request": "https://github.com/szl-holdings/lutar-lean/pull/188",
   "commit_ci_green": "2ede47a2",
   "ci_status": "GREEN",
   "namespace": "Lutar.Agentic.Pipeline (EXPERIMENTAL_SCOPES; NOT imported into Lutar.lean)",
   "theorems": 28,
   "axiom_free": 14,
   "lean_core_only": 10,
   "axiom_gated": 4,
   "declared_axiom": "hashFn_collision_resistant (P5 only; NIST FIPS 180-4)",
   "properties": {
    "P1": "receipt-completeness",
    "P2": "gate-soundness",
    "P3": "non-interference (Goguen-Meseguer 1982, axiom-free core)",
    "P4": "replay-determinism (axiom-free)",
    "P5": "tamper-evidence (axiom-gated)",
    "P6": "monotone auditability"
   },
   "headline": "the RAG->MCP->kernel loop is proven end-to-end; P3 (poisoned input can't flip the verdict) is the Cannonico bullseye",
   "maturity": "experimental-CI-green (P5 axiom-gated)",
   "locked_kernel": "749/14/163 @ c7c0ba17 UNCHANGED; experimental scope"
  },
  "coder_formulas": {
   "campaign": "prove-coder (a11oy Code governed coder formulas)",
   "pull_request": "https://github.com/szl-holdings/lutar-lean/pull/193",
   "commit_ci_green": "29e33534",
   "ci_status": "GREEN (bare-lean sorry-free + CI build/numbers/doctrine/DCO)",
   "theorems": 27,
   "axiom_free": 5,
   "lean_core_only": 23,
   "axiom_gated": 1,
   "declared_axiom": "codeHash_collision_resistant (1 only; standard, disclosed)",
   "areas": {
    "CS1": "sandbox containment (extends P2)",
    "CS2": "bounded exec/termination (extends F-G5)",
    "CR3": "router envelope + argmin stability (W7-5/C20)",
    "CV4": "consensus/Byzantine majority (C10)",
    "CC5": "conformal code-confidence <1 (W5-3/W7-4)",
    "CK6": "receipt-log compression (Kraft/Shannon C8/C9)",
    "NI7": "code-context non-interference (extends P3) — poisoned dependency can't flip DENY->ALLOW"
   },
   "headline": "27 theorems innovated for the governed coder; kernel-verified two ways",
   "maturity": "experimental-CI-green (1 axiom-gated)",
   "locked_kernel": "749/14/163 @ c7c0ba17 UNCHANGED; experimental scope"
  },
  "lambda_setalpha_setdelta": {
   "campaign": "lambda-uniqueness Set alpha + Set delta (conditional uniqueness within strengthened axiom classes)",
   "pull_request": "https://github.com/szl-holdings/lutar-lean/pull/192",
   "commit_ci_green": "5f0bb5ee",
   "ci_status": "GREEN (build + lake+numbers + doctrine + DCO)",
   "results": 22,
   "headline_theorems_approx": 12,
   "declared_bridge_axioms": [
    "setAlpha_cauchy",
    "KS_theorem_1_1",
    "setDelta_stage2"
   ],
   "impostor_deaths_axiom_free": 10,
   "what_proven": "Lambda (geometric mean) is UNIQUE within Set alpha {A1,A2,A3,A4,A5' multiplicativity} (cond. on setAlpha_cauchy) and within Set delta {d1..d4,d5' multiplicativity} (cond. on KS_theorem_1_1+setDelta_stage2). All 10 impostor-deaths AXIOM-FREE.",
   "what_NOT_claimed": "NOT unconditional uniqueness under original A1-A5 (machine-checked FALSE: Round13.maxAgg_ne_Lambda). Lambda STAYS Conjecture 1.",
   "maturity": "conditional (axiom-gated bridge); Lambda = Conjecture 1 unconditionally",
   "locked_kernel": "749/14/163 @ c7c0ba17 UNCHANGED; locked_proven=8 (locked_count_eight; F4/F7/F22 newly kernel-verified)"
  },
  "mathlib_bump_c3c4c5": {
   "campaign": "Mathlib v4.18 bump — concentration/KL re-exports C3/C4/C5",
   "pull_request": "https://github.com/szl-holdings/lutar-lean/pull/187",
   "ci_status": "PROVEN on the Mathlib-v4.18 bump branch (CI-green), PENDING MERGE to main",
   "ids": [
    "C3",
    "C4",
    "C5"
   ],
   "status_honest": "proven on bump branch (PR#187), pending merge to main — NOT on-main, NOT blocked",
   "maturity": "branch-pending"
  },
  "unify_governed_run_sound": {
   "campaign": "unify governance substrate meta-theorem (monoid-action spine unifying P1/P4/P6 + coder corpus)",
   "pull_request": "https://github.com/szl-holdings/lutar-lean/pull/194",
   "commit_ci_green": "9f9c1bbd",
   "artifact": "Lutar/Unify/GovernanceSubstrate.lean (EXPERIMENTAL scope; NOT wired into Lutar.lean)",
   "spine": "run is a left monoid action of the free monoid (List Hop,++,[]) on St; run_append homomorphism is the unifier",
   "theorems": [
    "run_nil (axiom-free)",
    "run_append",
    "run_singleton (axiom-free)",
    "completeness_additive",
    "determinism_composes",
    "chainEnd_append (axiom-free)",
    "auditability_multiplicative",
    "governed_run_sound"
   ],
   "headline": "every compositional corpus guarantee is a corollary of one homomorphism; a synthesis (unification) theorem, not new deep pure math",
   "maturity": "experimental-CI-green",
   "locked_kernel": "749/14/163 @ c7c0ba17 UNCHANGED; experimental scope"
  },
  "maturity_legend": [
   "locked",
   "experimental-CI-green",
   "branch-pending",
   "axiom-gated",
   "conditional",
   "conjecture"
  ],
  "experimental_total_note": "LOCKED proven = exactly 8 {F1,F4,F7,F11,F12,F18,F19,F22} @ c7c0ba17 (749/14/163), UNCHANGED. PLUS 80+ experimental kernel-verified theorems (all CI-green, never folded into the locked 8): wave5 (11, PR#186), wave6 (11, PR#189), wave7 (10, PR#190), agentic-loop P1-P6 (28, PR#188), coder formulas (27, PR#193), Lambda Set alpha/delta (22 results / ~12 theorems, PR#192), unify governed_run_sound (PR#194). C3/C4/C5 proven on the Mathlib-v4.18 bump branch (PR#187), pending merge to main. Lambda = Conjecture 1 unconditionally (uniqueness machine-checked FALSE) + PROVEN conditionally under declared strengthened Set alpha/delta axioms (PR#192).",
  "experimental_count_min": 80,
  "capability_map": {
   "module": "szl_formula_wiring.py (shared, byte-identical across a11oy + killinchu) + szl_agentic_loop.py",
   "served_surface": "a11oy: pages/console.html (SPA) + serve.py; killinchu: compiled SPA + serve.py. Routes: /api/{ns}/v1/formulas/* and /api/{ns}/v1/agent/* . formula_proof block returned on every governed run.",
   "reasoning": [
    {
     "theorems": [
      "W5-1",
      "W5-1b",
      "C6"
     ],
     "capability": "Trust aggregation (no-inflation)",
     "mechanism": "am_gm_check: ENFORCE geometric mean <= arithmetic mean; enforced_aggregate is the trust carried forward (cannot exceed AM)",
     "maturity": "CI-green(MD) / proven",
     "status": "WIRED",
     "where": "HOP5 kernel_check (szl_agentic_loop.py); /formulas/selftest",
     "reason": ""
    },
    {
     "theorems": [
      "W5-2"
     ],
     "capability": "Trust-vector similarity bound",
     "mechanism": "cauchy_schwarz_similarity: cosine in [-1,1] via |<x,y>| <= ||x|| ||y||",
     "maturity": "CI-green(MD)",
     "status": "WIRED",
     "where": "szl_formula_wiring.cauchy_schwarz_similarity; selftest",
     "reason": ""
    },
    {
     "theorems": [
      "W5-3a/b/c",
      "W7-4a/b/c",
      "CC5"
     ],
     "capability": "Confidence band (never 100%)",
     "mechanism": "conformal_interval: distribution-free band, p-value floor 1/(n+1), never_100_percent flag",
     "maturity": "proven (bare-lean)",
     "status": "WIRED",
     "where": "HOP5 kernel_check; /formulas/conformal; confidence_band on receipt",
     "reason": ""
    },
    {
     "theorems": [
      "C20"
     ],
     "capability": "Routing/argmax stability",
     "mechanism": "softmax_argmax_stable: half-margin band — argmax stable under small perturbation",
     "maturity": "proven (Mathlib-free core)",
     "status": "WIRED",
     "where": "szl_formula_wiring.softmax_argmax_stable; selftest",
     "reason": ""
    },
    {
     "theorems": [
      "W7-5",
      "W7-5a/b",
      "CR3"
     ],
     "capability": "Routing/averaging envelope",
     "mechanism": "routing_envelope: min<=avg<=max over per-axis risks",
     "maturity": "CI-green(MD)",
     "status": "WIRED",
     "where": "HOP5 kernel_check; /formulas/routing-envelope",
     "reason": ""
    }
   ],
   "policy": [
    {
     "theorems": [
      "P2",
      "p2_deny_absorbing",
      "CS1"
     ],
     "capability": "Deny-by-default safety gate soundness",
     "mechanism": "gate_soundness: emit allowed IFF policy AND kernel allow; deny is absorbing",
     "maturity": "proven (axiom-free)",
     "status": "WIRED",
     "where": "HOP4 + unify block (szl_agentic_loop.py); /agent/run",
     "reason": ""
    },
    {
     "theorems": [
      "P3",
      "p3a/b/c/d",
      "NI7"
     ],
     "capability": "Injection / non-interference",
     "mechanism": "non_interference: recompute decision with untrusted blob MUTATED, assert invariant (Goguen-Meseguer)",
     "maturity": "proven (axiom-free)",
     "status": "WIRED",
     "where": "HOP4 policy_check; quarantine HOP2; /agent/run",
     "reason": ""
    },
    {
     "theorems": [
      "C10",
      "C11",
      "C12",
      "CV4"
     ],
     "capability": "Consensus safety (Byzantine)",
     "mechanism": "byzantine_quorum: n>=3f+1 sizing, quorums intersect in an honest node; DLS/FLP caveats surfaced",
     "maturity": "proven",
     "status": "WIRED",
     "where": "HOP4 policy_check; /formulas/consensus-quorum",
     "reason": ""
    }
   ],
   "operator": [
    {
     "theorems": [
      "C8",
      "C9",
      "CK6"
     ],
     "capability": "Lossless minimal receipt encoding",
     "mechanism": "kraft_encoding_floor: encoded length >= field-count floor; Kraft sum(2^-l)<=1 prefix-feasible",
     "maturity": "proven (C8) / proven-fragment (C9)",
     "status": "WIRED",
     "where": "emit/seal block; formula_proof.operator.kraft",
     "reason": ""
    },
    {
     "theorems": [
      "W5-5",
      "W7-6",
      "W7-6a"
     ],
     "capability": "Two-sided audit envelope (anti-gaming)",
     "mechanism": "doob_audit_envelope: monotone accumulator, open<=tau<=close — early OR late audit brackets same result",
     "maturity": "proven (axiom-free)",
     "status": "WIRED",
     "where": "emit/seal block; formula_proof.operator.doob_audit",
     "reason": ""
    },
    {
     "theorems": [
      "F-G5",
      "CS2"
     ],
     "capability": "Bounded audit-walk termination",
     "mechanism": "bounded_frontier_walk: receipt-DAG walk under hard step cap = |edges|; terminates within cap",
     "maturity": "proven",
     "status": "WIRED",
     "where": "emit/seal block; formula_proof.operator.bounded_frontier",
     "reason": ""
    },
    {
     "theorems": [
      "P5",
      "C13",
      "C14",
      "W5-4",
      "code_tamper_detectable"
     ],
     "capability": "Tamper-evidence",
     "mechanism": "merkle_chain_verify: recompute prev_hash chain + Merkle root; duplicate-hash collision detection",
     "maturity": "AXIOM-GATED (hash CR) / W5-4 proven",
     "status": "WIRED",
     "where": "emit/seal + _verify_chain; /formulas/verify-receipts",
     "reason": ""
    },
    {
     "theorems": [
      "P1",
      "p1a/b/c",
      "P4",
      "p4_self_replay"
     ],
     "capability": "Receipt completeness + replay determinism",
     "mechanism": "every hop emits a hash-chained receipt; verify recomputes deterministically (replay = recompute)",
     "maturity": "proven (axiom-free)",
     "status": "WIRED",
     "where": "_chain_receipt on every hop; _verify_chain; /agent/verify-chain",
     "reason": ""
    },
    {
     "theorems": [
      "P6",
      "p6a/b/c"
     ],
     "capability": "Monotone auditability",
     "mechanism": "monotone audit accumulator (Doob direction) — audit count never decreases",
     "maturity": "proven (axiom-free)",
     "status": "WIRED",
     "where": "doob monotone_accumulator feeds governed_run_sound P6",
     "reason": ""
    }
   ],
   "graph": [
    {
     "theorems": [
      "F-G4",
      "W7-1",
      "W7-1a",
      "F-G6",
      "F-G2"
     ],
     "capability": "Label-independent mesh health",
     "mechanism": "graph_health_invariant: GM health + degree-sum (handshake) recomputed under relabel, asserted invariant; 1-WL ceiling honest",
     "maturity": "CI-green(MD) / proven",
     "status": "WIRED",
     "where": "emit/seal block; formula_proof.graph.health_invariant",
     "reason": ""
    },
    {
     "theorems": [
      "F-G1",
      "F-G3"
     ],
     "capability": "Distance-nonexpansive trust embedding",
     "mechanism": "frechet_embedding_nonexpansive: anchor-distance coord is 1-Lipschitz |f(a)-f(b)|<=|a-b|",
     "maturity": "CI-green(MD)",
     "status": "WIRED",
     "where": "szl_formula_wiring.frechet_embedding_nonexpansive; selftest",
     "reason": ""
    }
   ],
   "unifying": [
    {
     "theorems": [
      "governed_run_sound (PR#194)",
      "P1",
      "P2",
      "P3",
      "P4",
      "P6"
     ],
     "capability": "Top-level run soundness",
     "mechanism": "governed_run_sound: AND the 5 live per-run properties into ONE soundness proposition; P5 separate (axiom-gated)",
     "maturity": "proven (headline Lean-core; P5 axiom-gated)",
     "status": "WIRED",
     "where": "emit/seal block; formula_proof.unifying",
     "reason": ""
    }
   ],
   "concentration_bounds_surfaced": [
    {
     "theorems": [
      "C3",
      "C4",
      "C5"
     ],
     "capability": "Concentration / divergence diagnostics (surfaced, NOT the trust band)",
     "mechanism": "C3 Hoeffding / C4 Azuma / C5 KL>=0 now CI-green (Mathlib v4.18 bump, PR#187); listed as separate bounds",
     "maturity": "proven (CI-green)",
     "status": "WIRED",
     "where": "proof_summary.mathlib_bump_c3c4c5; Formulas tab (list); trust interval STAYS conformal",
     "reason": ""
    }
   ],
   "skipped": [
    {
     "theorems": [
      "C1",
      "C2"
     ],
     "capability": "EPR-Bell agent-correlation ceiling (diagnostic)",
     "mechanism": "Tsirelson 2sqrt2 / CHSH<=2 — CI-green REAL theorems, but no operational decision fit",
     "maturity": "proven (CI-green)",
     "status": "SKIP",
     "where": "Formulas tab (list-only)",
     "reason": "Pure correlation-ceiling diagnostic; no concrete capability binds to it. Honestly list-only, not wired."
    },
    {
     "theorems": [
      "C15"
     ],
     "capability": "McDiarmid bounded-difference concentration",
     "mechanism": "not ported to Lean",
     "maturity": "lean-exists-not-ported",
     "status": "SKIP",
     "where": "—",
     "reason": "Not proven/ported on this toolchain; no mechanism to wire. SKIP (honesty>coverage)."
    },
    {
     "theorems": [
      "C16"
     ],
     "capability": "PAC-Bayes McAllester bound",
     "mechanism": "not ported (W7-5 envelope ports the operational min<=avg<=max instead)",
     "maturity": "not-attempted",
     "status": "SKIP",
     "where": "—",
     "reason": "Not ported; the operational need (routing envelope) is met by W7-5 which IS wired. SKIP."
    },
    {
     "theorems": [
      "C18"
     ],
     "capability": "Arrow impossibility",
     "mechanism": "not ported to Lean",
     "maturity": "lean-exists-not-ported",
     "status": "SKIP",
     "where": "—",
     "reason": "Social-choice impossibility; academic, no operational fit in the agent loop. SKIP."
    },
    {
     "theorems": [
      "C19"
     ],
     "capability": "Gibbard-Satterthwaite",
     "mechanism": "not ported to Lean",
     "maturity": "not-attempted",
     "status": "SKIP",
     "where": "—",
     "reason": "Strategy-proofness impossibility; academic, no operational fit. SKIP."
    },
    {
     "theorems": [
      "F23 (Lambda)",
      "lambda_unique_setAlpha",
      "lambda_unique_under_block"
     ],
     "capability": "Lambda uniqueness (the aggregator identity)",
     "mechanism": "uniqueness is CONDITIONAL on declared axioms only (setAlpha_cauchy / A6'_block_consistent); unconditional is FALSE",
     "maturity": "Conjecture 1",
     "status": "SKIP",
     "where": "Lambda used as advisory aggregator (NOT proven oracle); szl_llm_registry + HOP5",
     "reason": "F23 STAYS Conjecture 1. The Lambda VALUE is used (advisory, GM<=AM bounded), but the UNIQUENESS theorem is conditional-only — not claimed as a proven oracle. Wired as advisory, uniqueness SKIP."
    }
   ]
  },
  "wiring_version": "wire-all-80 v1",
  "wiring_note": "capability_map wires each kernel-verified theorem to a REAL, executed mechanism in szl_formula_wiring.py / szl_agentic_loop.py (shared, byte-identical), or marks it SKIP with a reason. Live at /api/{ns}/v1/formulas/proof-summary. Trust interval is conformal (W5-3/W7-4), NOT Hoeffding. governed_run_sound (PR#194) is headline Lean-core; P5 axiom-gated. locked_proven=8 (locked_count_eight); F23 = Conjecture 1."
 },
 "puriq_formulas": [
  {
   "id": "F1",
   "name": "Replay-Hash Determinism",
   "statement": "Deterministic step-fold replay: equal logs replay to equal final state; folded state equals last of the explicit replay trace.",
   "maturity": "proven",
   "lean_ref": "f1_replay_fold_deterministic",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean",
   "locked_kernel": true
  },
  {
   "id": "F2",
   "name": "Scheduler Liveness",
   "statement": "Fair round-robin scheduler: every ready organ eventually ticks (strictly-decreasing Nat ranking measure reaches 0).",
   "maturity": "proven",
   "lean_ref": "f2_scheduler_liveness",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F3",
   "name": "Organ Boot-Gate Soundness",
   "statement": "If the boot gate permits an organ, its genome is valid (decidable implication).",
   "maturity": "proven",
   "lean_ref": "f3_genome_gate_sound",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F4",
   "name": "Receipt-Chain Acyclicity",
   "statement": "Appending the new largest-index node preserves DAG acyclicity (backward-edge invariant).",
   "maturity": "proven",
   "lean_ref": "f4_khipu_dag_acyclic",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F5",
   "name": "Unay Receipt Recall",
   "statement": "Insert-then-lookup on the same receipt key returns the inserted value (exact-key recall correctness).",
   "maturity": "proven",
   "lean_ref": "f5_unay_recall_correct",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F6",
   "name": "LMDB Durability",
   "statement": "Commit-then-restart-then-read returns the committed value; uncommitted writes are lost on crash (WAL model).",
   "maturity": "proven",
   "lean_ref": "f6_lmdb_durability",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F7",
   "name": "Chaski FIFO Ordering",
   "statement": "Enqueue-batch-then-drain yields send order; head is the oldest message (true FIFO, no tautology).",
   "maturity": "proven",
   "lean_ref": "f7_chaski_fifo",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F8",
   "name": "Wallpa OSS-Only Safety",
   "statement": "Governed-voice admission gate admits only OSS sources; no humanClone or synthetic config is ever admitted.",
   "maturity": "proven",
   "lean_ref": "f8_wallpa_oss_only",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F9",
   "name": "Wasi-Rikuq Non-Interference",
   "statement": "Advisory non-interference (Goguen-Meseguer 1982): the low view is unchanged by high inputs.",
   "maturity": "proven",
   "lean_ref": "f9_wasi_rikuq_noninterference",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F10",
   "name": "Hatun MCP Idempotency",
   "statement": "MCP request normalizer is idempotent: normalizing twice equals normalizing once.",
   "maturity": "proven",
   "lean_ref": "f10_hatun_mcp_idempotent",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F11",
   "name": "Ayni Reciprocity Conservation",
   "statement": "Event-sourcing replay invariant: balance reciprocity is conserved; tit-for-tat parity (Axelrod-Hamilton).",
   "maturity": "proven",
   "lean_ref": "f11_ayni_reciprocity_conservation",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean",
   "locked_kernel": true
  },
  {
   "id": "F12",
   "name": "Kuramoto Phase-Coupling Boundedness",
   "statement": "Discrete additive coupling is bounded and superposes over an organ set. CAVEAT: additive fragment only, NOT nonlinear Kuramoto synchronisation.",
   "maturity": "proven",
   "lean_ref": "f12_kuramoto_superposition",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean",
   "locked_kernel": true
  },
  {
   "id": "F13",
   "name": "Wayra Hash-Chain Verification",
   "statement": "Hash-chain verification is sound by induction: a verified chain has every link consistent.",
   "maturity": "proven",
   "lean_ref": "f13_wayra_chain_verified",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean",
   "declared_axiom": "hash_collision_resistant (tamper-evidence f13_tamper_evident)"
  },
  {
   "id": "F14",
   "name": "Signature Verifiable Attribution",
   "statement": "A signature-envelope signature that verifies attributes the message to the key. AXIOM-GATED on declared `ecdsa_unforgeable`.",
   "maturity": "axiom-gated",
   "lean_ref": "f14_dsse_verifiable",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean",
   "declared_axiom": "ecdsa_unforgeable"
  },
  {
   "id": "F15",
   "name": "Rekor Merkle Inclusion",
   "statement": "Merkle inclusion checker is sound (structural). Binding form (equal roots => equal leaves) is AXIOM-GATED on declared `h2_collision_resistant`.",
   "maturity": "proven",
   "lean_ref": "f15_rekor_inclusion",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean",
   "declared_axiom": "h2_collision_resistant (binding form f15_inclusion_binding)"
  },
  {
   "id": "F16",
   "name": "Safety-Gate Coverage Completeness",
   "statement": "Immune cross-cut completeness: 8 gates cover all 8 enumerated threats; gate set is exhaustive.",
   "maturity": "proven",
   "lean_ref": "f16_safegate_immune_complete",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F17",
   "name": "Three-Vertical Isolation",
   "statement": "The three verticals are pairwise disjoint (isolation by construction).",
   "maturity": "proven",
   "lean_ref": "f17_three_vertical_isolation",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F18",
   "name": "Reed-Solomon RS(10,6) Recovery",
   "statement": "RS(10,6) parity arithmetic: data is recoverable iff at least 6 of 10 shards survive (tolerates 4 erasures).",
   "maturity": "proven",
   "lean_ref": "f18_reed_solomon_parity_count",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean",
   "locked_kernel": true
  },
  {
   "id": "F19",
   "name": "Bekenstein Entropy Budget",
   "statement": "Entropy budget is additive and monotone over a region partition; each region <= total. CAVEAT: additive scaffolding only, NOT the full Bekenstein bound S <= 2*pi*k*R*E/(hbar*c).",
   "maturity": "proven",
   "lean_ref": "f19_budget_total_cons",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean",
   "locked_kernel": true
  },
  {
   "id": "F20",
   "name": "Mobile Input Equivalence",
   "statement": "Touch and pointer inputs are equivalent under the normalization map (decidable and sound).",
   "maturity": "proven",
   "lean_ref": "f20_mobile_input_equiv",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F21",
   "name": "Genome Validator Totality",
   "statement": "The genome validator is total over Fin 16: every organ validates.",
   "maturity": "proven",
   "lean_ref": "f21_all_organs_valid",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F22",
   "name": "Receipt Emit Monotonicity",
   "statement": "Emit appends to the sequence log with strictly increasing sequence numbers (monotone emit).",
   "maturity": "proven",
   "lean_ref": "f22_khipu_emit_monotone",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/PuriqFormulaLean.lean"
  },
  {
   "id": "F23",
   "name": "Lambda-Aggregator Uniqueness",
   "statement": "CONJECTURE 1 (NOT a theorem). Unconditional uniqueness is FALSE under A1-A5 (maxAgg counterexample). Conditional `lambda_unique_of_factors` IS proved; unconditional uniqueness closes only under declared axiom A6_bisymmetric.",
   "maturity": "conjectured",
   "lean_ref": "f23_lambda_aggregator_sound",
   "lean_repo": "szl-holdings/lutar-lean",
   "lean_file": "Lutar/Puriq/Formulas/F23_Uniqueness.lean",
   "declared_axiom": "A6_bisymmetric (optional, only for conditional lambda_unique_under_A6)"
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 ],
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 ],
 "instill_wave": "build-wave (locked 8 + wave3 19 sorry-free/4 axiom-gated + wave5 6 Mathlib-CI-green/5 bare-lean + conditional Lambda)"
}