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"version": "1.0.0",
"byline": "Lutar, Stephen P.",
"orcid": "0009-0001-0110-4173",
"email": "stephen@szlholdings.com",
"org": "SZL Holdings",
"generated_at": "2026-05-15T16:30:00Z",
"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": "\u00a74.1",
"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": "\u00a74.1",
"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": "\u00a74.1",
"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": "\u00a74.3",
"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": "\u00a74.6",
"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": "\u00a73.4",
"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": "\u00a74.5",
"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": "\u00a77",
"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": "\u00a78",
"maturity": "defined",
"citation": "https://github.com/szl-holdings/szl-trust"
}
],
"theorems": [
{
"id": "TH_L1",
"name": "\u039b_uniqueness",
"statement": "The Lutar Invariant \u039b_k as weighted geometric mean with Egyptian unit-fraction weights is unique given the four axioms",
"source_file": "lutar-lean/Lutar/Uniqueness.lean",
"maturity": "proven",
"citation": "https://doi.org/10.5281/zenodo.20053148"
},
{
"id": "TH_L2",
"name": "\u039b_min_max_bounds",
"statement": "\u039b_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"
},
{
"id": "F0002",
"source_file": "thesis.md",
"source_line": 229,
"latex": "\\mathtt{szl\\text{-}trust}",
"context": "d system. - \\(A\\) \u2014 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"
},
{
"id": "F0003",
"source_file": "thesis.md",
"source_line": 231,
"latex": "e \\in E",
"context": "and resolvable \u2014 unidentified actors are structurally excluded. - \\(E\\) \u2014 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"
},
{
"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\\) \u2014 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"
},
{
"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"
},
{
"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"
},
{
"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 \u00a73.3. No message may traverse",
"source_id": "thesis_session"
},
{
"id": "F0008",
"source_file": "thesis.md",
"source_line": 231,
"latex": "\\varepsilon",
"context": "repsilon\\) is the receipt envelope defined in \u00a73.3. No message may traverse a region boundary unless it carries a valid \\(\\varepsilon\\). - \\(\\Lambda\\) \u2014 the **composable axis-gating function**. Forma",
"source_id": "thesis_session"
},
{
"id": "F0009",
"source_file": "thesis.md",
"source_line": 233,
"latex": "\\Lambda",
"context": "ceipt envelope defined in \u00a73.3. No message may traverse a region boundary unless it carries a valid \\(\\varepsilon\\). - \\(\\Lambda\\) \u2014 the **composable axis-gating function**. Formally, \\(\\Lambda : [0,",
"source_id": "thesis_session"
},
{
"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\\) \u2014 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"
},
{
"id": "F0011",
"source_file": "thesis.md",
"source_line": 233,
"latex": "k \\geq 9",
"context": "varepsilon\\). - \\(\\Lambda\\) \u2014 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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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})\\) \u2014 gate composition does not w",
"source_id": "thesis_session"
},
{
"id": "F0016",
"source_file": "thesis.md",
"source_line": 239,
"latex": "\\Lambda",
"context": "\u2014 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"
},
{
"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"
},
{
"id": "F0018",
"source_file": "thesis.md",
"source_line": 241,
"latex": "\\rho(e)",
"context": "arget is zero. - \\(\\rho\\) \u2014 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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"id": "F0026",
"source_file": "thesis.md",
"source_line": 268,
"latex": "\\Lambda",
"context": "bda(axes: number[9|10]) \u2192 Receipt` \u2014 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"
},
{
"id": "F0027",
"source_file": "thesis.md",
"source_line": 274,
"latex": "\\Lambda",
"context": "chain root for third-party verification. **Dependencies:** - Depends on: `lutar-lean` (Skeleton) \u2014 the axiom set that \\(\\Lambda\\) is required to satisfy is formally stated there; the Brain Stem is th",
"source_id": "thesis_session"
},
{
"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 \u00b5s and composed p50 = 3.29 \u00b5s; with the Platform v",
"source_id": "thesis_session"
},
{
"id": "F0029",
"source_file": "thesis.md",
"source_line": 285,
"latex": "\\mathcal{S}",
"context": "a continuous supply-chain security posture. --- ### Heart \u2014 `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"
},
{
"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"
},
{
"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"
},
{
"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 \u2014 i.e., no edge in \\(E\\) may have \\(r_{\\text{dst}} \\notin R\\) \u2014 without a Heart pulse. The covenant is a named, ver",
"source_id": "thesis_session"
},
{
"id": "F0033",
"source_file": "thesis.md",
"source_line": 293,
"latex": "\\Lambda",
"context": "Stem's chain. **Dependencies:** - Depends on: `ouroboros` (Brain Stem) \u2014 covenant evaluation results are sealed with a \\(\\Lambda\\)-gated receipt; a covenant check that fails \\(\\Lambda\\) is itself a g",
"source_id": "thesis_session"
},
{
"id": "F0034",
"source_file": "thesis.md",
"source_line": 293,
"latex": "\\Lambda",
"context": "os` (Brain Stem) \u2014 covenant evaluation results are sealed with a \\(\\Lambda\\)-gated receipt; a covenant check that fails \\(\\Lambda\\) is itself a gate-level violation. - Depends on: `sentra` (Wires) \u2014 t",
"source_id": "thesis_session"
},
{
"id": "F0035",
"source_file": "thesis.md",
"source_line": 305,
"latex": "\\mathcal{S}",
"context": "but a verifiable, chain-linked artifact. --- ### Wires \u2014 `sentra` **Repo:** `szl-holdings/sentra` **Formal role in \\(\\mathcal{S}\\):** The Wires are the attribution trail \u2014 the afferent channel tha",
"source_id": "thesis_session"
},
{
"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, Wires maintain the mapping \\(\\text{attr}: E \\to A\\), ensuring that every edge in \\(E\\) is attributable to a",
"source_id": "thesis_session"
},
{
"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 Wires, \\(\\mathcal{S}\\) degrades: edges carry receipts but not attributions, making the ",
"source_id": "thesis_session"
},
{
"id": "F0038",
"source_file": "thesis.md",
"source_line": 308,
"latex": "a \\in A",
"context": "egal-accountability sense. **Public interfaces:** - `observe(edge, actor_id) \u2192 AttributionRecord` \u2014 records that actor \\(a \\in A\\) produced or consumed edge \\(e\\). - `attribution_trail(region, time_r",
"source_id": "thesis_session"
},
{
"id": "F0039",
"source_file": "thesis.md",
"source_line": 325,
"latex": "\\mathcal{S}",
"context": "aft-morrow-sogomonian-exec-outcome-attest`. --- ### Spine \u2014 `amaru` **Repo:** `szl-holdings/amaru` **Formal role in \\(\\mathcal{S}\\):** The Spine is the append-only coordination and protocol bridge",
"source_id": "thesis_session"
},
{
"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, `amaru` maintains the sequence \\(\\langle e_1, e_2, \\ldots, e_n \\rangle \\subseteq E\\) ordered by timestamp, with",
"source_id": "thesis_session"
},
{
"id": "F0041",
"source_file": "thesis.md",
"source_line": 339,
"latex": "O(\\log n)",
"context": "(identified in the runtime roadmap) would upgrade the Spine's linear hash-chain to a directed acyclic graph supporting \\(O(\\log n)\\) subset inclusion proofs \u2014 enabling privacy-preserving audits for re",
"source_id": "thesis_session"
},
{
"id": "F0042",
"source_file": "thesis.md",
"source_line": 347,
"latex": "\\mathcal{S}",
"context": "nce in the enterprise segment. --- ### Skeleton \u2014 `lutar-lean` **Repo:** `szl-holdings/lutar-lean` **Formal role in \\(\\mathcal{S}\\):** The Skeleton is the formal scaffold \u2014 the Lean 4 axioms and M",
"source_id": "thesis_session"
},
{
"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 (\u039b uniqueness, Bound theorem) th",
"source_id": "thesis_session"
},
{
"id": "F0044",
"source_file": "thesis.md",
"source_line": 347,
"latex": "\\Lambda",
"context": "A2, A3, A4\\}\\) and the derived theorems (\u039b 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"
},
{
"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` \u2014 Theorem 1: \\(\\Lambda\\) is the unique function satisfying A1\u2013A4; proof scaffold with tracked ",
"source_id": "thesis_session"
},
{
"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 \u2014 the co",
"source_id": "thesis_session"
},
{
"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 \u2265 0.95, amber 0.90\u20130.95, red < 0.90). The planned \"",
"source_id": "thesis_session"
},
{
"id": "F0048",
"source_file": "thesis.md",
"source_line": 386,
"latex": "\\mathcal{S}",
"context": "*is* the system. --- ### Full Body \u2014 `ouroboros-thesis` **Repo:** `szl-holdings/ouroboros-thesis` **Formal role in \\(\\mathcal{S}\\):** The Full Body is the public-record thesis \u2014 the DOI-pinned, ve",
"source_id": "thesis_session"
},
{
"id": "F0049",
"source_file": "thesis.md",
"source_line": 386,
"latex": "\\mathcal{S}",
"context": "l Body is the public-record thesis \u2014 the DOI-pinned, versioned document that constitutes the canonical specification of \\(\\mathcal{S}\\). Formally, `ouroboros-thesis` defines the normative description ",
"source_id": "thesis_session"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"id": "F0053",
"source_file": "thesis.md",
"source_line": 479,
"latex": "\\Lambda",
"context": "_lambda(axes) \u2192 Receipt` \u2014 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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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 \u2014 behavioral constraints are implemented as runtime checks with",
"source_id": "thesis_session"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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 \u039b\u2089 composite scores ",
"source_id": "thesis_session"
},
{
"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 \u039b\u2089 composite scores at the two evaluation times. The",
"source_id": "thesis_session"
},
{
"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"
},
{
"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 \u2265 0",
"source_id": "thesis_session"
},
{
"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 \u2265 0.90 conjunctive floor. This axis operationaliz",
"source_id": "thesis_session"
},
{
"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"
},
{
"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"
},
{
"id": "F0076",
"source_file": "thesis.md",
"source_line": 587,
"latex": "\\lambda_8",
"context": "ting under delegated authority \u2014 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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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 \u039b\u2089 gate passes if ",
"source_id": "thesis_session"
},
{
"id": "F0082",
"source_file": "thesis.md",
"source_line": 599,
"latex": "\\lambda_1 = 0.50",
"context": "for the following reason. A single composite score \u2014 even a geometric mean \u2014 can mask localized failures. An agent with \\(\\lambda_1 = 0.50\\) (severely morally misaligned) and all remaining axes at \\(1",
"source_id": "thesis_session"
},
{
"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 \u2265 0.90 single-",
"source_id": "thesis_session"
},
{
"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 \u2014 these are the ",
"source_id": "thesis_session"
},
{
"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 \u2014 these are the axes most directly",
"source_id": "thesis_session"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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 \u039b\u2081\u2080). The mask is committed via SHA-256 and incl",
"source_id": "thesis_session"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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"
},
{
"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 \u00a74.6). - **\\(\\vec{\\lambda}\\)**: The full nine-dimensional \u039b vector, or the `lambda9_mask` b",
"source_id": "thesis_session"
},
{
"id": "F0100",
"source_file": "thesis.md",
"source_line": 632,
"latex": "\\rho\\_\\textit{witness\\_set}",
"context": "vec{\\lambda}\\)**: The full nine-dimensional \u039b vector, or the `lambda9_mask` bitfield under the \u039b\u2081\u2080 privacy variant. - **\\(\\rho\\_\\textit{witness\\_set}\\)**: The set of co-witnesses whose signatures are ",
"source_id": "thesis_session"
}
],
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"canonical_constants": [
{
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"name": "receipt_build_p50_us",
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"unit": "\u00b5s",
"ops_per_sec": "62764",
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"doi": "10.5281/zenodo.20119582",
"maturity": "measured"
},
{
"id": "K02",
"name": "receipt_build_p99_us",
"value": "50.7",
"unit": "\u00b5s",
"source": "THESIS_BRIEF.md",
"doi": "10.5281/zenodo.20119582",
"maturity": "measured"
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"value": "10.4",
"unit": "\u00b5s",
"ops_per_sec": "74149",
"source": "THESIS_BRIEF.md",
"doi": "10.5281/zenodo.20119582",
"maturity": "measured"
},
{
"id": "K04",
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"value": "3.12",
"unit": "\u00b5s",
"source": "THESIS_BRIEF.md",
"doi": "10.5281/zenodo.20119582",
"maturity": "measured"
},
{
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"name": "lambda9_composed_p50_us",
"value": "3.29",
"unit": "\u00b5s",
"source": "THESIS_BRIEF.md",
"doi": "10.5281/zenodo.20119582",
"maturity": "measured"
},
{
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"name": "rho_closure_rate",
"value": "100%",
"denominator": "8000/8000 paired calls",
"source": "THESIS_BRIEF.md",
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"maturity": "measured"
},
{
"id": "K07",
"name": "platform_v11_http_calls",
"value": "24800",
"source": "THESIS_BRIEF.md",
"doi": "10.5281/zenodo.20119582",
"maturity": "measured"
},
{
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"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 \u00a74.5",
"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 \u00b5s",
"context": "0).** A production Rust runtime with 218/218 tests passing, receipt build p50 = 11.5 \u00b5s (62,764 ops/sec), receipt verify p50 = 10.4 \u00b5s (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 \u00b5s",
"context": "ests passing, receipt build p50 = 11.5 \u00b5s (62,764 ops/sec), receipt verify p50 = 10.4 \u00b5s (74,149 ops/sec), and 100% \u03c1-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 \u00b5s",
"context": "\u2192 Receipt` \u2014 constructs a receipt envelope; p50 = 11.5 \u00b5s, p99 = 50.7 \u00b5s, throughput 62,764 ops/sec. - `verify_receipt(receipt) \u2192 bool` \u2014 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 \u00b5s (62,764 ops/sec), receipt verify p50 = 10.4 \u00b5s (74,149 ops/sec), and 100% \u03c1-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 \u00b5s (62,764 ops/sec), receipt verify p50 = 10.4 \u00b5s (74,149 ops/sec), and 100% \u03c1-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 \u00b5s build p50** at **200,000 ops/sec**. This is a 2.3\u00d7 improvement in latency and a 3.2\u00d7 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": "\u039b\u2089 base p50 = 3.12 \u00b5s",
"context": "9]. The runtime enforces a 9-axis conjunctive quality gate (\u039b\u2089 base p50 = 3.12 \u00b5s) and a \u039b\u2081\u2080 platform layer with 0.49\u20130.59 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% \u03c1-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\u20130.59 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 \u00b5s (62,764 ops/sec), receipt verify p50 = 10.4 \u00b5s (74,149 ops/sec), and 100% \u03c1-closure on 8,000/8,000 paired calls [9]. The runtime enforces a 9-axis conjunctive quality gate (\u039b",
"context": "tion Rust runtime with 218/218 tests passing, receipt build p50 = 11.5 \u00b5s (62,764 ops/sec), receipt verify p50 = 10.4 \u00b5s (74,149 ops/sec), and 100% \u03c1-",
"source_file": "thesis.md",
"source_line": 83,
"source_id": "thesis_session"
},
{
"id": "C0054",
"name": "lambda_p50_us",
"value": "3.12",
"raw": "p50 = 3.12 \u00b5s) and a \u039b",
"context": "runtime enforces a 9-axis conjunctive quality gate (\u039b\u2089 base p50 = 3.12 \u00b5s) and a \u039b\u2081\u2080 platform layer with 0.49\u20130.59 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 \u00b5s",
"context": "bers - **218/218 tests** - Receipt build p50 = **11.5 \u00b5s**, p99 = 50.7 \u00b5s (62,764 ops/sec) - Receipt verify p50 = **10.4 \u00b5s** (74,149 ops/sec) - \u039b\u2089 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 \u00b5s**, p99 = 50.7 \u00b5s (62,764 ops/sec) - Receipt verify p50 = **10.4 \u00b5s** (74,149 ops/sec) - \u039b\u2089 base p50 = 3.12 \u00b5",
"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 \u00b5s (62,764 ops/sec) - Receipt verify p50 = **10.4 \u00b5s** (74,149 ops/sec) - \u039b\u2089 base p50 = 3.12 \u00b5s / composed p50 = 3.29 \u00b5s - 100% \u03c1-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": "\u039b\u2089 base p50 = 3.12 \u00b5s",
"context": "/sec) - Receipt verify p50 = **10.4 \u00b5s** (74,149 ops/sec) - \u039b\u2089 base p50 = 3.12 \u00b5s / composed p50 = 3.29 \u00b5s - 100% \u03c1-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) \u2014 production numbers - **218/218 tests** - Receipt build p50 = **11.5 \u00b5s**, p99 = 50.7 \u00b5s (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": "\u03c1-closure on **8,000/8,000 paired calls** - Platform v11: **24,800 HTTP calls validated**, \u039b\u2081\u2080 overhead 0.49\u20130.59 ms/route, p99 \u2264 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 \u00b5s",
"context": "e not. | 12\u201318 months \u2014 they have a runtime, not a kernel | Receipt build p50 = 11.5 \u00b5s \u00b7 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 \u00b5s",
"context": "218 / 218 passing** | | Receipt build | p50 = **11.5 \u00b5s** \u00b7 p99 = 50.7 \u00b5s \u00b7 62,764 ops/sec | | Receipt verify | p50 = **10.4 \u00b5s** \u00b7 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 \u00b5s** \u00b7 p99 = 50.7 \u00b5s \u00b7 62,764 ops/sec | | Receipt verify | p50 = **10.4 \u00b5s** \u00b7 74,149 ops/sec | | \u039b\u2089 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 \u00b7 62,764 ops/sec | | Receipt verify | p50 = **10.4 \u00b5s** \u00b7 74,149 ops/sec | | \u039b\u2089 base | p50 = 3.12 \u00b5s | | \u039b\u2089 composed | p50 = **3.29 \u00b5s** | | \u03c1-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 \u00b7 v6.3.0 \u00b7 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 \u00b5s",
"context": "rg/doc/draft-morrow-sogomonian-exec-outcome-attest/00/)). | Receipt build p50=11.5 \u00b5s, 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 \u00b5s, verify p50 = 10.4 \u00b5s, 62,764 ops/sec, 218/218 runtime tests, \u03c1-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 \u00b5s, 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 \u039b\u2089-gated resource. | Ouroboros v6.3.0 platform v11: 24,800 HTTP calls, \u039b\u2081\u2080 overhead 0.49\u20130.59 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 \u00b5s",
"context": "-witness guarantee baked into `ouroboros`'s runtime kernel. Receipt build p50 = 11.5 \u00b5s; verify p50 = 10.4 \u00b5s; 100% \u03c1-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 \u00b7 p50 = 11.5 \u00b5s build / 10.4 \u00b5s verify \u00b7 218/218 tests \u00b7 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 \u00b7 receipt chain \u00b7 p50 = 11.5 \u00b5s build / 10.4 \u00b5s verify \u00b7 218/218 tests \u00b7 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 \u00b5s | 62,764 ops/sec | | Receipt build p99 | 50.7 \u00b5s | \u2014 | | Receipt verify p50 | 10.4 \u00b5s | 74,14",
"source_file": "runtime_memo.md",
"source_line": 20,
"source_id": "runtime_memo"
},
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