references/run_sabrina_carrollian_conglomerate_kernel_stratification.json

{
  "kernel": "run_sabrina_carrollian_conglomerate_kernel_stratification",
  "role": "post-computation assertion only",
  "schema": "ouroboros_scientific_reference_assertion_v1",
  "scientific_payload": {
    "algebraic_certificate": {
      "checks": {
        "constraint_factorization_exact": true,
        "generic_kernel_identity_exact": true,
        "generic_outer_product_exact": true,
        "left_boundary_basis_exact": true,
        "rank_nullity_formula_exhaustive": true,
        "right_boundary_basis_exact": true
      },
      "factorization": "A(alpha)=0 iff (k1,k2)X=0 and X(bar_k1,bar_k2)^T=0",
      "generic_generator": [
        "b*d",
        "-b*c",
        "-a*d",
        "a*c"
      ],
      "kernel_isomorphism": "ker(A) is Hom(C^2/span(bar_k), ker(k))",
      "matrix": [
        [
          "a",
          "0",
          "b",
          "0"
        ],
        [
          "0",
          "a",
          "0",
          "b"
        ],
        [
          "c",
          "d",
          "0",
          "0"
        ],
        [
          "0",
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          "c",
          "d"
        ]
      ],
      "strata": [
        {
          "constraint_rank": 3,
          "left_pair_rank": 1,
          "nullity": 1,
          "right_pair_rank": 1
        },
        {
          "constraint_rank": 2,
          "left_pair_rank": 0,
          "nullity": 2,
          "right_pair_rank": 1
        },
        {
          "constraint_rank": 2,
          "left_pair_rank": 1,
          "nullity": 2,
          "right_pair_rank": 0
        },
        {
          "constraint_rank": 0,
          "left_pair_rank": 0,
          "nullity": 4,
          "right_pair_rank": 0
        }
      ]
    },
    "claim_boundary": {
      "capabilities_removed": [],
      "interacting_spectrum_claimed": false,
      "null_state_quotient_claimed": false,
      "physical_admissibility_of_zero_weight_strata_claimed": false
    },
    "exact_checks": {
      "archive_hash_matches": true,
      "both_lorentz_constraints_present": true,
      "constraint_factorization_exact": true,
      "four_coefficient_operator_present": true,
      "generic_kernel_identity_exact": true,
      "generic_outer_product_exact": true,
      "left_boundary_basis_exact": true,
      "member_hash_matches": true,
      "published_kernel_vector_present": true,
      "rank_nullity_formula_exhaustive": true,
      "right_boundary_basis_exact": true,
      "source_blocks_match": true
    },
    "paper": {
      "arxiv_id": "2501.00462",
      "title": "Multiparticle States for the Flat Hologram"
    },
    "result_version": "sabrina_carrollian_conglomerate_kernel_stratification_v1",
    "source_evidence": {
      "archive_sha256": "917ad8f25057f1316600fb9b9afb6b6c169b1ca05ad088781a84a025a23f0d38",
      "block_hashes": {
        "conglomerate_coefficient_system": "c505de34f3e7cce7148daa0c0951bdbd1bbc60c53945ea22cdda08b86c1d8e04"
      },
      "checks": {
        "archive_hash_matches": true,
        "both_lorentz_constraints_present": true,
        "four_coefficient_operator_present": true,
        "member_hash_matches": true,
        "published_kernel_vector_present": true,
        "source_blocks_match": true
      },
      "member_sha256": "2a2443a343ab2528110bacf66f32464a515ce3252fc36295895f57f9d6fb1e09"
    },
    "status": "complete",
    "theorem": {
      "boundary_locus": "if exactly one chiral pair vanishes the kernel is two-dimensional; if both vanish it is four-dimensional",
      "generic_locus": "the published coefficient vector spans the kernel exactly when both chiral weight pairs are nonzero",
      "precise_correction": "the scalar-multiple uniqueness statement requires the nonzero-pair hypothesis"
    }
  },
  "scientific_payload_sha256": "3bd160a7dfa798b30b4390d34d11f59d48bd1398ec53c50dcc434e3fe64a4737"
}