{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:6EA5WU3MBRITCQSL3CEJFWA4IL","short_pith_number":"pith:6EA5WU3M","schema_version":"1.0","canonical_sha256":"f101db536c0c5131424bd88892d81c42ecc80662a3cb82b35125bcd5a1c01114","source":{"kind":"arxiv","id":"2501.04621","version":1},"attestation_state":"computed","paper":{"title":"Lorentzian OPE Inversion Formula: A Geometric Perspective","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Chung-I Tan, Pulkit Agarwal, Richard Brower, Timothy Raben","submitted_at":"2025-01-08T17:06:00Z","abstract_excerpt":"We give a new perspective on the Lorentzian OPE inversion formula of arXiv:1703.00278, building on arXiv:2302.06469. We introduce an ``auxiliary'' fourpoint function that can be related to the traditionally defined ones via a Radon transform. The Mellin amplitudes associated with this auxiliary function can be shown to be equivalent to the conventional partial wave amplitudes. This has the intuitive geometrical meaning of a generalization of the Projection-Slice Theorem."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2501.04621","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-01-08T17:06:00Z","cross_cats_sorted":[],"title_canon_sha256":"9d3c7813ba8bf4eb32e338efb623f9edaf8958bf9a507007dad3218f3400a6fb","abstract_canon_sha256":"da2472a1bd0b357d4fe9da23faba6e78a12a9dd6a8c1c2385a12fba21fbf073d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:58:38.105324Z","signature_b64":"sC1PFhpzWdyY/MV85mEbi3eJuwlKmS2O8FAxGlnD1HMMoGP/revXdpJZVOTmoljkVbAlAprjB0AaOONppyKQBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f101db536c0c5131424bd88892d81c42ecc80662a3cb82b35125bcd5a1c01114","last_reissued_at":"2026-07-05T09:58:38.104883Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:58:38.104883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lorentzian OPE Inversion Formula: A Geometric Perspective","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Chung-I Tan, Pulkit Agarwal, Richard Brower, Timothy Raben","submitted_at":"2025-01-08T17:06:00Z","abstract_excerpt":"We give a new perspective on the Lorentzian OPE inversion formula of arXiv:1703.00278, building on arXiv:2302.06469. We introduce an ``auxiliary'' fourpoint function that can be related to the traditionally defined ones via a Radon transform. The Mellin amplitudes associated with this auxiliary function can be shown to be equivalent to the conventional partial wave amplitudes. This has the intuitive geometrical meaning of a generalization of the Projection-Slice Theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.04621","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.04621/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2501.04621","created_at":"2026-07-05T09:58:38.104938+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.04621v1","created_at":"2026-07-05T09:58:38.104938+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.04621","created_at":"2026-07-05T09:58:38.104938+00:00"},{"alias_kind":"pith_short_12","alias_value":"6EA5WU3MBRIT","created_at":"2026-07-05T09:58:38.104938+00:00"},{"alias_kind":"pith_short_16","alias_value":"6EA5WU3MBRITCQSL","created_at":"2026-07-05T09:58:38.104938+00:00"},{"alias_kind":"pith_short_8","alias_value":"6EA5WU3M","created_at":"2026-07-05T09:58:38.104938+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6EA5WU3MBRITCQSL3CEJFWA4IL","json":"https://pith.science/pith/6EA5WU3MBRITCQSL3CEJFWA4IL.json","graph_json":"https://pith.science/api/pith-number/6EA5WU3MBRITCQSL3CEJFWA4IL/graph.json","events_json":"https://pith.science/api/pith-number/6EA5WU3MBRITCQSL3CEJFWA4IL/events.json","paper":"https://pith.science/paper/6EA5WU3M"},"agent_actions":{"view_html":"https://pith.science/pith/6EA5WU3MBRITCQSL3CEJFWA4IL","download_json":"https://pith.science/pith/6EA5WU3MBRITCQSL3CEJFWA4IL.json","view_paper":"https://pith.science/paper/6EA5WU3M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.04621&json=true","fetch_graph":"https://pith.science/api/pith-number/6EA5WU3MBRITCQSL3CEJFWA4IL/graph.json","fetch_events":"https://pith.science/api/pith-number/6EA5WU3MBRITCQSL3CEJFWA4IL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6EA5WU3MBRITCQSL3CEJFWA4IL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6EA5WU3MBRITCQSL3CEJFWA4IL/action/storage_attestation","attest_author":"https://pith.science/pith/6EA5WU3MBRITCQSL3CEJFWA4IL/action/author_attestation","sign_citation":"https://pith.science/pith/6EA5WU3MBRITCQSL3CEJFWA4IL/action/citation_signature","submit_replication":"https://pith.science/pith/6EA5WU3MBRITCQSL3CEJFWA4IL/action/replication_record"}},"created_at":"2026-07-05T09:58:38.104938+00:00","updated_at":"2026-07-05T09:58:38.104938+00:00"}