{
  "kernel": "run_sabrina_inverted_mellin_equivalence",
  "role": "post-computation assertion only",
  "schema": "ouroboros_scientific_reference_assertion_v1",
  "scientific_payload": {
    "claim_boundary": {
      "capabilities_removed": [],
      "paper_correction_claimed": false,
      "physics_beyond_source_equivalence_claimed": false
    },
    "classification": "source_equation_consistent_normalization_rescaling_made_explicit",
    "derivation": {
      "canonical_variable": "t=tau/2=(2u)^-1",
      "final_argument": "-t qhat",
      "final_prefactor": "-2^(Delta-1)",
      "first_variable": "tau=1/u on each open half-line",
      "negative_u_branch": "(u-i0)^(-Delta)=|u|^(-Delta) exp(i pi Delta)",
      "null_infinity_asymptotic": "r Phi -> -(2u)^-1 tildePhi(-qhat/(2u))",
      "oriented_measure": "du[-1/(2u)] -> -d tau/(2 tau)",
      "regulator_rename": "epsilon_t=2 epsilon>0",
      "weight_identity": "(1/(2t)-i epsilon)^(-Delta)=2^Delta(1/t-2i epsilon)^(-Delta)"
    },
    "exact_checks": {
      "archive_hash_matches": true,
      "canonical_rescaling_measure": true,
      "displayed_argument": true,
      "displayed_power_of_two": true,
      "equation_environment_bounded": true,
      "equation_hash_matches": true,
      "equation_label_unique": true,
      "member_hash_matches": true,
      "negative_half_line_orientation": true,
      "outgoing_negative_branch_phase": true,
      "positive_half_line_orientation": true,
      "raw_inversion_measure": true,
      "regulator_rescales_by_two": true,
      "source_asymptotic_prefactor": true
    },
    "finding": "The displayed equivalence is exact. The prose change t=u^-1 suppresses the subsequent positive rescaling t=(2u)^-1 and regulator rename; it does not create a normalization or branch error.",
    "paper": {
      "arxiv_id": "2310.02186",
      "equation_label": "eq:intgrlequiv",
      "title": "Equating Extrapolate Dictionaries for Massless Scattering"
    },
    "parents": {
      "corpus_selection_result_sha256": "50be0f97900ed089adcef02591c307e87fe1abedcdee435b7072a868449032b3",
      "source_archive_sha256": "98df70f13d2aeecec1c192dab76dbe6c52c85a2794e2b46531afc1f846fae4f5",
      "source_member_sha256": "dec660af87a0f34503f8b719e96a95968b83fc665089b19cb627b92b34b0eb6a"
    },
    "result_version": "sabrina_inverted_mellin_equivalence_v1",
    "source_evidence": {
      "archive_sha256": "98df70f13d2aeecec1c192dab76dbe6c52c85a2794e2b46531afc1f846fae4f5",
      "equation_block_byte_count": 310,
      "equation_block_sha256": "31a82fb57e91a1ff55cba7c2d48213cd1c54bb5ec8c2b1c6e40b76747f17e431",
      "equation_label_count": 1,
      "member_sha256": "dec660af87a0f34503f8b719e96a95968b83fc665089b19cb627b92b34b0eb6a"
    },
    "status": "complete"
  },
  "scientific_payload_sha256": "8238ba9f3410ddad34f4ba9d8b58fed3f8b73f2da4ac14bd651fe311098aed7e"
}