{ "kernel": "run_sabrina_boundary_soft_scale_cocycle", "role": "post-computation assertion only", "schema": "ouroboros_scientific_reference_assertion_v1", "scientific_payload": { "certificate_witnesses": { "cocycle_compositions": [ { "first": "-3/2", "residual": "0", "second": "-3/2" }, { "first": "-3/2", "residual": "0", "second": "-1/3" }, { "first": "-3/2", "residual": "0", "second": "0" }, { "first": "-3/2", "residual": "0", "second": "2/5" }, { "first": "-3/2", "residual": "0", "second": "7/4" }, { "first": "-1/3", "residual": "0", "second": "-3/2" }, { "first": "-1/3", "residual": "0", "second": "-1/3" }, { "first": "-1/3", "residual": "0", "second": "0" }, { "first": "-1/3", "residual": "0", "second": "2/5" }, { "first": "-1/3", "residual": "0", "second": "7/4" }, { "first": "0", "residual": "0", "second": "-3/2" }, { "first": "0", "residual": "0", "second": "-1/3" }, { "first": "0", "residual": "0", "second": "0" }, { "first": "0", "residual": "0", "second": "2/5" }, { "first": "0", "residual": "0", "second": "7/4" }, { "first": "2/5", "residual": "0", "second": "-3/2" }, { "first": "2/5", "residual": "0", "second": "-1/3" }, { "first": "2/5", "residual": "0", "second": "0" }, { "first": "2/5", "residual": "0", "second": "2/5" }, { "first": "2/5", "residual": "0", "second": "7/4" }, { "first": "7/4", "residual": "0", "second": "-3/2" }, { "first": "7/4", "residual": "0", "second": "-1/3" }, { "first": "7/4", "residual": "0", "second": "0" }, { "first": "7/4", "residual": "0", "second": "2/5" }, { "first": "7/4", "residual": "0", "second": "7/4" } ], "contact_test_jets": [ { "scale_response": "2/(9*pi)", "test_value_at_contact": "-2" }, { "scale_response": "0", "test_value_at_contact": "0" }, { "scale_response": "-1/(15*pi)", "test_value_at_contact": "3/5" } ], "d_d_log_scale": "-1/(4*pi)", "d_d_log_time": "-1/(4*pi)", "inverse_residuals": [ "0", "0", "0", "0", "0" ], "scale_changes": [ { "contact_coefficient_difference": "3/(8*pi)", "distribution_action_difference": "33/(104*pi)", "expected_contact_shift": "3/(8*pi)", "identity": true, "log_ratio": "-3/2", "log_scale": "5/7" }, { "contact_coefficient_difference": "1/(12*pi)", "distribution_action_difference": "11/(156*pi)", "expected_contact_shift": "1/(12*pi)", "identity": true, "log_ratio": "-1/3", "log_scale": "5/7" }, { "contact_coefficient_difference": "0", "distribution_action_difference": "0", "expected_contact_shift": "0", "identity": true, "log_ratio": "0", "log_scale": "5/7" }, { "contact_coefficient_difference": "-1/(10*pi)", "distribution_action_difference": "-11/(130*pi)", "expected_contact_shift": "-1/(10*pi)", "identity": true, "log_ratio": "2/5", "log_scale": "5/7" }, { "contact_coefficient_difference": "-7/(16*pi)", "distribution_action_difference": "-77/(208*pi)", "expected_contact_shift": "-7/(16*pi)", "identity": true, "log_ratio": "7/4", "log_scale": "5/7" } ], "separated_points": [ { "radius_squared": "1/9", "scale_response": "0", "value": "9/(4*pi**2)" }, { "radius_squared": "2/3", "scale_response": "0", "value": "3/(8*pi**2)" }, { "radius_squared": "7/2", "scale_response": "0", "value": "1/(14*pi**2)" } ] }, "claim_boundary": { "capabilities_removed": [], "coincident_correlator_regulator_independent": false, "soft_sector_dynamics_computed": false, "u_zero_distribution_resolved": false }, "exact_checks": { "archive_hash_matches": true, "cocycle_composition_exact": true, "contact_support_explicit": true, "corrected_operator_present": true, "inverse_and_identity_exact": true, "member_hash_matches": true, "regulated_contact_correlator_present": true, "scale_and_time_log_derivatives_universal": true, "scale_change_identity_exact": true, "separated_points_are_invariant": true, "source_blocks_match": true, "vanishing_contact_jet_is_invariant": true }, "paper": { "arxiv_id": "2410.20296", "title": "A Comment on Boundary Correlators: Soft Omissions and the Massless S-Matrix" }, "result_version": "sabrina_boundary_soft_scale_cocycle_v1", "source_evidence": { "archive_sha256": "9449818f67f5ea56945c7389f382057b410a452e387ea285b0b1e23e079fbe7b", "block_hashes": { "corrected_boundary_operator": "d1e30b5190f5f19d6b401fd31f64ec6b51ab9f780edcbc250a6384f1fe32b223", "regulated_two_point_contact_term": "42bcaf00b7b2d4a3303653c2c936ec2699f4d588d4a7099383707417bf928184" }, "checks": { "archive_hash_matches": true, "contact_support_explicit": true, "corrected_operator_present": true, "member_hash_matches": true, "regulated_contact_correlator_present": true, "source_blocks_match": true }, "member_sha256": "d3cad9e521a6d2ad3b960db2374a1c5f32ff63acf3834731be6060645718967c" }, "status": "complete", "theorem": { "composition": "the contact shifts add under successive positive rescalings and cancel under inverse rescaling", "invariants": "separated-point correlators and the derivative with respect to log time separation are independent of the arbitrary scale", "scale_cocycle": "for lambda>0, G_(lambda mu)-G_mu=-(log lambda)/(4 pi) delta^2(z)", "support": "scale dependence acts only on the value of a test function at angular coincidence" } }, "scientific_payload_sha256": "a335d252d7be59f9c40e7abc990331da16b0b54eda70f70d4fa5172d95b2e084" }