{
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  "role": "post-computation assertion only",
  "schema": "ouroboros_scientific_reference_assertion_v1",
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              "status": "finite"
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          },
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              "status": "finite"
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              "status": "zero"
            }
          },
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      ]
    },
    "claim_boundary": {
      "amplitude_residue_computed": false,
      "capabilities_removed": [],
      "contact_support_regularized": false,
      "full_distributional_wavefunction_classified": false
    },
    "exact_checks": {
      "antisymmetric_prefactors_present": true,
      "archive_hash_matches": true,
      "closed_forms_match_direct_expansions": true,
      "delta_one_special_case": true,
      "delta_zero_special_case": true,
      "distributional_support_present": true,
      "integer_channels_are_complementary": true,
      "member_hash_matches": true,
      "positive_integer_zero_pattern": true,
      "source_blocks_match": true,
      "symmetric_prefactors_present": true
    },
    "paper": {
      "arxiv_id": "2212.00962",
      "title": "Celestial amplitudes in an ambidextrous basis"
    },
    "result_version": "sabrina_ambidextrous_integer_prefactor_lattice_v1",
    "source_evidence": {
      "archive_sha256": "2427287be8bd1a7795678aaa741678883d650e87fafd311bdbed06d30af1418a",
      "block_hashes": {
        "antisymmetric_light_prefactor": "f8960a1c62d8863ba211083ca3b94aa7ba02a82e3119aa7f6fbf20f34299e06f",
        "symmetric_light_prefactor": "c7278952c5f94673ec6bb54a4bf5bd1147b6a6c122d6d16a25f7a358b64f3546"
      },
      "checks": {
        "antisymmetric_prefactors_present": true,
        "archive_hash_matches": true,
        "distributional_support_present": true,
        "member_hash_matches": true,
        "source_blocks_match": true,
        "symmetric_prefactors_present": true
      },
      "member_sha256": "27eedb08d211073e0e05f79802b92b5d76ca52d12d7afe71356f10bc6123dd59"
    },
    "status": "complete",
    "theorem": {
      "nonpositive_lattice": "at each nonpositive integer one channel has a simple pole while the complementary trigonometric zero cancels the gamma pole to a finite value",
      "positive_lattice": "for integer Delta>=2 exactly one channel vanishes and the other is finite",
      "prefactors": "C_s=4 pi Gamma(Delta-1) sin(pi Delta/2), C_a=4 pi i Gamma(Delta-1) cos(pi Delta/2)",
      "special_points": "at Delta=0, C_s=-2 pi^2 and Res C_a=-4 pi i; at Delta=1, Res C_s=4 pi and C_a=-2 pi^2 i"
    }
  },
  "scientific_payload_sha256": "77e01bb41ab0dd463176786be21185590dc2a06da27f2585d546e2a379c2ff4f"
}