{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:BOLIR2CGNRIA3ZQMVDI66HIOFM","short_pith_number":"pith:BOLIR2CG","schema_version":"1.0","canonical_sha256":"0b9688e8466c500de60ca8d1ef1d0e2b327bb20d88b84a3d8f869ee3e621a4b1","source":{"kind":"arxiv","id":"2008.11730","version":3},"attestation_state":"computed","paper":{"title":"CFT Unitarity and the AdS Cutkosky Rules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Allic Sivaramakrishnan, David Meltzer","submitted_at":"2020-08-26T18:00:01Z","abstract_excerpt":"We derive the Cutkosky rules for conformal field theories (CFTs) at weak and strong coupling. These rules give a simple, diagrammatic method to compute the double-commutator that appears in the Lorentzian inversion formula. We first revisit weakly-coupled CFTs in flat space, where the cuts are performed on Feynman diagrams. We then generalize these rules to strongly-coupled holographic CFTs, where the cuts are performed on the Witten diagrams of the dual theory. In both cases, Cutkosky rules factorize loop diagrams into on-shell sub-diagrams and generalize the standard S-matrix cutting rules. "},"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":"2008.11730","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-26T18:00:01Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"23807510524dd8827b9c6a134ea3576c67b6f03787bb9f02964de07cb8a54a10","abstract_canon_sha256":"cdbb5a57f53cc2ad539d1eaf0663ac9ad50431be5bfb758bc1a7755e93be08bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:59:53.851921Z","signature_b64":"W1S9hYZ1RucrythfFgflo+xdqrAs2EIBZUR0Ma3CmpFp6Ht0zwXG8f/bqYpefBa+EsgzuY3AiqvBSOQCsTiLAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b9688e8466c500de60ca8d1ef1d0e2b327bb20d88b84a3d8f869ee3e621a4b1","last_reissued_at":"2026-07-05T02:59:53.851481Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:59:53.851481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"CFT Unitarity and the AdS Cutkosky Rules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Allic Sivaramakrishnan, David Meltzer","submitted_at":"2020-08-26T18:00:01Z","abstract_excerpt":"We derive the Cutkosky rules for conformal field theories (CFTs) at weak and strong coupling. These rules give a simple, diagrammatic method to compute the double-commutator that appears in the Lorentzian inversion formula. We first revisit weakly-coupled CFTs in flat space, where the cuts are performed on Feynman diagrams. We then generalize these rules to strongly-coupled holographic CFTs, where the cuts are performed on the Witten diagrams of the dual theory. In both cases, Cutkosky rules factorize loop diagrams into on-shell sub-diagrams and generalize the standard S-matrix cutting rules. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.11730","kind":"arxiv","version":3},"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/2008.11730/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":"2008.11730","created_at":"2026-07-05T02:59:53.851537+00:00"},{"alias_kind":"arxiv_version","alias_value":"2008.11730v3","created_at":"2026-07-05T02:59:53.851537+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.11730","created_at":"2026-07-05T02:59:53.851537+00:00"},{"alias_kind":"pith_short_12","alias_value":"BOLIR2CGNRIA","created_at":"2026-07-05T02:59:53.851537+00:00"},{"alias_kind":"pith_short_16","alias_value":"BOLIR2CGNRIA3ZQM","created_at":"2026-07-05T02:59:53.851537+00:00"},{"alias_kind":"pith_short_8","alias_value":"BOLIR2CG","created_at":"2026-07-05T02:59:53.851537+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2507.12533","citing_title":"$20'$ Five-Point Function of $\\mathcal{N}=4$ SYM and Stringy Corrections","ref_index":54,"is_internal_anchor":false},{"citing_arxiv_id":"2509.03656","citing_title":"Loops Outside a Black Hole","ref_index":41,"is_internal_anchor":false},{"citing_arxiv_id":"2511.00152","citing_title":"Every Wrinkle Carries A Memory: An Integro-differential Bootstrap for Features in Cosmological Correlators","ref_index":63,"is_internal_anchor":false},{"citing_arxiv_id":"2605.06811","citing_title":"The Conformal Grassmannian: A Symplectic Bi-Grassmannian for $CFT_ 4$ Correlators","ref_index":23,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BOLIR2CGNRIA3ZQMVDI66HIOFM","json":"https://pith.science/pith/BOLIR2CGNRIA3ZQMVDI66HIOFM.json","graph_json":"https://pith.science/api/pith-number/BOLIR2CGNRIA3ZQMVDI66HIOFM/graph.json","events_json":"https://pith.science/api/pith-number/BOLIR2CGNRIA3ZQMVDI66HIOFM/events.json","paper":"https://pith.science/paper/BOLIR2CG"},"agent_actions":{"view_html":"https://pith.science/pith/BOLIR2CGNRIA3ZQMVDI66HIOFM","download_json":"https://pith.science/pith/BOLIR2CGNRIA3ZQMVDI66HIOFM.json","view_paper":"https://pith.science/paper/BOLIR2CG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2008.11730&json=true","fetch_graph":"https://pith.science/api/pith-number/BOLIR2CGNRIA3ZQMVDI66HIOFM/graph.json","fetch_events":"https://pith.science/api/pith-number/BOLIR2CGNRIA3ZQMVDI66HIOFM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BOLIR2CGNRIA3ZQMVDI66HIOFM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BOLIR2CGNRIA3ZQMVDI66HIOFM/action/storage_attestation","attest_author":"https://pith.science/pith/BOLIR2CGNRIA3ZQMVDI66HIOFM/action/author_attestation","sign_citation":"https://pith.science/pith/BOLIR2CGNRIA3ZQMVDI66HIOFM/action/citation_signature","submit_replication":"https://pith.science/pith/BOLIR2CGNRIA3ZQMVDI66HIOFM/action/replication_record"}},"created_at":"2026-07-05T02:59:53.851537+00:00","updated_at":"2026-07-05T02:59:53.851537+00:00"}