Datasets:

cjc0013
/

ouroboros-pasterski-research-program

	{
	"kernel": "run_sabrina_all_m_transverse_nonlocality_chain",
	"role": "post-computation assertion only",
	"schema": "ouroboros_scientific_reference_assertion_v1",
	"scientific_payload": {
	"claim_boundary": {
	"boundary_condition_analysis_complete": false,
	"capabilities_removed": [],
	"independent_second_derivation_complete": false,
	"public_replay_claim_allowed": true
	},
	"classification": "all_m_transverse_nonlocality_depth_saturation_and_distribution_order_multiplicity_exact",
	"exact_checks": {
	"all_three_public_source_archives_match": true,
	"all_three_public_source_archives_nonempty": true,
	"finite_difference_termination_identities": true,
	"finite_m3_through_m8_depth_ladder": true,
	"finite_m3_through_m8_multiplicities": true,
	"generic_nonvanishing_slice_exact": true,
	"generic_order_has_exact_Z_r_plus_2_factor": true,
	"last_order_has_exact_Z_m_plus_1_factor": true,
	"m3_m4_m5_progression": true,
	"m_minus_2_boundary_cancels_exactly": true,
	"minimal_depth_identity": true,
	"order_zero_has_exact_Z2_factor": true
	},
	"finite_exact_rows": [
	{
	"last_nonzero_order": 2,
	"m": 3,
	"minimal_inverse_total_Z_depth": 0,
	"orders_at_or_above_m_vanish": true,
	"rows": [
	{
	"nonzero": true,
	"r": 0,
	"total_Z_multiplicity": 2
	},
	{
	"nonzero": true,
	"r": 1,
	"total_Z_multiplicity": 3
	},
	{
	"nonzero": true,
	"r": 2,
	"total_Z_multiplicity": 4
	}
	]
	},
	{
	"last_nonzero_order": 3,
	"m": 4,
	"minimal_inverse_total_Z_depth": 1,
	"orders_at_or_above_m_vanish": true,
	"rows": [
	{
	"nonzero": true,
	"r": 0,
	"total_Z_multiplicity": 2
	},
	{
	"nonzero": true,
	"r": 1,
	"total_Z_multiplicity": 3
	},
	{
	"nonzero": true,
	"r": 2,
	"total_Z_multiplicity": 4
	},
	{
	"nonzero": true,
	"r": 3,
	"total_Z_multiplicity": 5
	}
	]
	},
	{
	"last_nonzero_order": 4,
	"m": 5,
	"minimal_inverse_total_Z_depth": 2,
	"orders_at_or_above_m_vanish": true,
	"rows": [
	{
	"nonzero": true,
	"r": 0,
	"total_Z_multiplicity": 2
	},
	{
	"nonzero": true,
	"r": 1,
	"total_Z_multiplicity": 3
	},
	{
	"nonzero": true,
	"r": 2,
	"total_Z_multiplicity": 4
	},
	{
	"nonzero": true,
	"r": 3,
	"total_Z_multiplicity": 5
	},
	{
	"nonzero": true,
	"r": 4,
	"total_Z_multiplicity": 6
	}
	]
	},
	{
	"last_nonzero_order": 5,
	"m": 6,
	"minimal_inverse_total_Z_depth": 3,
	"orders_at_or_above_m_vanish": true,
	"rows": [
	{
	"nonzero": true,
	"r": 0,
	"total_Z_multiplicity": 2
	},
	{
	"nonzero": true,
	"r": 1,
	"total_Z_multiplicity": 3
	},
	{
	"nonzero": true,
	"r": 2,
	"total_Z_multiplicity": 4
	},
	{
	"nonzero": true,
	"r": 3,
	"total_Z_multiplicity": 5
	},
	{
	"nonzero": true,
	"r": 4,
	"total_Z_multiplicity": 6
	},
	{
	"nonzero": true,
	"r": 5,
	"total_Z_multiplicity": 7
	}
	]
	},
	{
	"last_nonzero_order": 6,
	"m": 7,
	"minimal_inverse_total_Z_depth": 4,
	"orders_at_or_above_m_vanish": true,
	"rows": [
	{
	"nonzero": true,
	"r": 0,
	"total_Z_multiplicity": 2
	},
	{
	"nonzero": true,
	"r": 1,
	"total_Z_multiplicity": 3
	},
	{
	"nonzero": true,
	"r": 2,
	"total_Z_multiplicity": 4
	},
	{
	"nonzero": true,
	"r": 3,
	"total_Z_multiplicity": 5
	},
	{
	"nonzero": true,
	"r": 4,
	"total_Z_multiplicity": 6
	},
	{
	"nonzero": true,
	"r": 5,
	"total_Z_multiplicity": 7
	},
	{
	"nonzero": true,
	"r": 6,
	"total_Z_multiplicity": 8
	}
	]
	},
	{
	"last_nonzero_order": 7,
	"m": 8,
	"minimal_inverse_total_Z_depth": 5,
	"orders_at_or_above_m_vanish": true,
	"rows": [
	{
	"nonzero": true,
	"r": 0,
	"total_Z_multiplicity": 2
	},
	{
	"nonzero": true,
	"r": 1,
	"total_Z_multiplicity": 3
	},
	{
	"nonzero": true,
	"r": 2,
	"total_Z_multiplicity": 4
	},
	{
	"nonzero": true,
	"r": 3,
	"total_Z_multiplicity": 5
	},
	{
	"nonzero": true,
	"r": 4,
	"total_Z_multiplicity": 6
	},
	{
	"nonzero": true,
	"r": 5,
	"total_Z_multiplicity": 7
	},
	{
	"nonzero": true,
	"r": 6,
	"total_Z_multiplicity": 8
	},
	{
	"nonzero": true,
	"r": 7,
	"total_Z_multiplicity": 9
	}
	]
	}
	],
	"result_version": "sabrina_all_m_transverse_nonlocality_chain_v1",
	"source_evidence": {
	"archive_sha256": {
	"arxiv_2211_14287": "1299353b9514a296786e448ec1ec7adfc430eee66d055293cb24716dc23879db",
	"arxiv_2307_16801": "98acf1e79b6d6fb929626e11f40fdb0d4a4029f174f6c493f7639e721c7424b0",
	"arxiv_2607_28718": "bfa9d2a7941ed801f874bb92b4c3e898a99900d92990403d32c4b9408c48f2a1"
	},
	"checks": {
	"all_three_public_source_archives_match": true,
	"all_three_public_source_archives_nonempty": true
	},
	"observed_sha256": {
	"arxiv_2211_14287": "1299353b9514a296786e448ec1ec7adfc430eee66d055293cb24716dc23879db",
	"arxiv_2307_16801": "98acf1e79b6d6fb929626e11f40fdb0d4a4029f174f6c493f7639e721c7424b0",
	"arxiv_2607_28718": "bfa9d2a7941ed801f874bb92b4c3e898a99900d92990403d32c4b9408c48f2a1"
	}
	},
	"sources": {
	"celestial_conformal_colliders": {
	"arxiv_id": "2211.14287",
	"title": "Celestial Conformal Colliders"
	},
	"detector_operators": {
	"arxiv_id": "2307.16801",
	"title": "Detector Operators for Celestial Symmetries"
	},
	"infinite_symmetry_algebras": {
	"arxiv_id": "2607.28718",
	"title": "Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories"
	}
	},
	"status": "complete",
	"theorem": {
	"domain": "integer m>=3 in the complex-Hermitian conformal-scalar conventions",
	"generic_distribution_orders": "for 0<=r<=m-2, R_(m,r) has exact total-Z multiplicity r+2",
	"last_nonzero_order": "r=m-1 has exact total-Z multiplicity m+1",
	"minimal_inverse_total_Z_depth": "d_min(m)=m-3",
	"progression": "m=3 -> 0, m=4 -> 1, m=5 -> 2, then the all-m proof",
	"vanishing_orders": "R_(m,r)=0 for r>=m"
	}
	},
	"scientific_payload_sha256": "6600de93b5e0dbb7dc6744cfc31499e4d84760267f62e18bc2a1c9a0e8470db5"
	}