{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:UUGBTCZHNDFV54YCZDIGAICEUP","short_pith_number":"pith:UUGBTCZH","schema_version":"1.0","canonical_sha256":"a50c198b2768cb5ef302c8d0602044a3ebdc7906c7b23d7565d56a9186fc0fb7","source":{"kind":"arxiv","id":"2403.05243","version":1},"attestation_state":"computed","paper":{"title":"Inversion and Integral Identities in dCFTs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Georgios Sakkas","submitted_at":"2024-03-08T12:04:58Z","abstract_excerpt":"This work derives an application from the identities of arXiv:hep-th/0602028 in order to invert four point functions in defect conformal field theories. For this, a recursion relation is established and the O(N) model with a line defect is considered as a testing ground of this application. Specifically, the CFT data are calculated from inversion of tilt and displacement four point functions. The recursion relation enables efficient computation of hypergeometrics at order $\\epsilon$ in the $\\epsilon$-expansion, leading to the inversion of four point functions and the derivation of CFT data. Th"},"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":"2403.05243","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-03-08T12:04:58Z","cross_cats_sorted":[],"title_canon_sha256":"0eec75db27c98c3be4bdfcefe72be4863cd1c1db33ee5f911800e732383a0258","abstract_canon_sha256":"b37b5f3520b213d43ac04e9ff1645fe0a9f7a51c990abf356a12e027bfd8d509"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:53:52.750612Z","signature_b64":"2P5LxtqmYA+CGKSVsRb/KldZ9Nevn7sxyASO0T/nwAa7R6MVyGlRaJnMLPraA0c4/4tez/YRS+2v2pYRr8xWDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a50c198b2768cb5ef302c8d0602044a3ebdc7906c7b23d7565d56a9186fc0fb7","last_reissued_at":"2026-07-05T07:53:52.750143Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:53:52.750143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inversion and Integral Identities in dCFTs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Georgios Sakkas","submitted_at":"2024-03-08T12:04:58Z","abstract_excerpt":"This work derives an application from the identities of arXiv:hep-th/0602028 in order to invert four point functions in defect conformal field theories. For this, a recursion relation is established and the O(N) model with a line defect is considered as a testing ground of this application. Specifically, the CFT data are calculated from inversion of tilt and displacement four point functions. The recursion relation enables efficient computation of hypergeometrics at order $\\epsilon$ in the $\\epsilon$-expansion, leading to the inversion of four point functions and the derivation of CFT data. Th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.05243","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/2403.05243/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":"2403.05243","created_at":"2026-07-05T07:53:52.750200+00:00"},{"alias_kind":"arxiv_version","alias_value":"2403.05243v1","created_at":"2026-07-05T07:53:52.750200+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.05243","created_at":"2026-07-05T07:53:52.750200+00:00"},{"alias_kind":"pith_short_12","alias_value":"UUGBTCZHNDFV","created_at":"2026-07-05T07:53:52.750200+00:00"},{"alias_kind":"pith_short_16","alias_value":"UUGBTCZHNDFV54YC","created_at":"2026-07-05T07:53:52.750200+00:00"},{"alias_kind":"pith_short_8","alias_value":"UUGBTCZH","created_at":"2026-07-05T07:53:52.750200+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/UUGBTCZHNDFV54YCZDIGAICEUP","json":"https://pith.science/pith/UUGBTCZHNDFV54YCZDIGAICEUP.json","graph_json":"https://pith.science/api/pith-number/UUGBTCZHNDFV54YCZDIGAICEUP/graph.json","events_json":"https://pith.science/api/pith-number/UUGBTCZHNDFV54YCZDIGAICEUP/events.json","paper":"https://pith.science/paper/UUGBTCZH"},"agent_actions":{"view_html":"https://pith.science/pith/UUGBTCZHNDFV54YCZDIGAICEUP","download_json":"https://pith.science/pith/UUGBTCZHNDFV54YCZDIGAICEUP.json","view_paper":"https://pith.science/paper/UUGBTCZH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2403.05243&json=true","fetch_graph":"https://pith.science/api/pith-number/UUGBTCZHNDFV54YCZDIGAICEUP/graph.json","fetch_events":"https://pith.science/api/pith-number/UUGBTCZHNDFV54YCZDIGAICEUP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UUGBTCZHNDFV54YCZDIGAICEUP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UUGBTCZHNDFV54YCZDIGAICEUP/action/storage_attestation","attest_author":"https://pith.science/pith/UUGBTCZHNDFV54YCZDIGAICEUP/action/author_attestation","sign_citation":"https://pith.science/pith/UUGBTCZHNDFV54YCZDIGAICEUP/action/citation_signature","submit_replication":"https://pith.science/pith/UUGBTCZHNDFV54YCZDIGAICEUP/action/replication_record"}},"created_at":"2026-07-05T07:53:52.750200+00:00","updated_at":"2026-07-05T07:53:52.750200+00:00"}