{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:RH2TH2TRX3BLPWOQVS2Q5PSX2K","short_pith_number":"pith:RH2TH2TR","schema_version":"1.0","canonical_sha256":"89f533ea71bec2b7d9d0acb50ebe57d293af4d55f7fa99dc871420c87fa62491","source":{"kind":"arxiv","id":"math/0602079","version":1},"attestation_state":"computed","paper":{"title":"Categorification and correlation functions in conformal field theory","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"math.CT","authors_text":"Christoph Schweigert, Ingo Runkel, Jurgen Fuchs","submitted_at":"2006-02-05T12:41:25Z","abstract_excerpt":"A modular tensor category provides the appropriate data for the construction of a three-dimensional topological field theory. We describe the following analogue for two-dimensional conformal field theories: a 2-category whose objects are symmetric special Frobenius algebras in a modular tensor category and whose morphisms are categories of bimodules. This 2-category provides sufficient ingredients for constructing all correlation functions of a two-dimensional rational conformal field theory. The bimodules have the physical interpretation of chiral data, boundary conditions, and topological de"},"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":"math/0602079","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CT","submitted_at":"2006-02-05T12:41:25Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"31e72282ce61e25912dcf6fafca4f0fd7063ceb12fe9cf9af5fd06ec2f778dca","abstract_canon_sha256":"99c78447558489aac2c60be0028d149028d0ddd9a47423f8479b0b5e51275a46"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:53:22.883725Z","signature_b64":"G+pRgF4+0AI4g2mwQdSHuSPXaICLOMnK4G9Sml8mooY2TpXFxRFKUEwPpMi8eJsJMKpysJwnVlHyZp2BmZkVDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89f533ea71bec2b7d9d0acb50ebe57d293af4d55f7fa99dc871420c87fa62491","last_reissued_at":"2026-07-04T14:53:22.883327Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:53:22.883327Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Categorification and correlation functions in conformal field theory","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"math.CT","authors_text":"Christoph Schweigert, Ingo Runkel, Jurgen Fuchs","submitted_at":"2006-02-05T12:41:25Z","abstract_excerpt":"A modular tensor category provides the appropriate data for the construction of a three-dimensional topological field theory. We describe the following analogue for two-dimensional conformal field theories: a 2-category whose objects are symmetric special Frobenius algebras in a modular tensor category and whose morphisms are categories of bimodules. This 2-category provides sufficient ingredients for constructing all correlation functions of a two-dimensional rational conformal field theory. The bimodules have the physical interpretation of chiral data, boundary conditions, and topological de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0602079","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/math/0602079/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":"math/0602079","created_at":"2026-07-04T14:53:22.883390+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0602079v1","created_at":"2026-07-04T14:53:22.883390+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0602079","created_at":"2026-07-04T14:53:22.883390+00:00"},{"alias_kind":"pith_short_12","alias_value":"RH2TH2TRX3BL","created_at":"2026-07-04T14:53:22.883390+00:00"},{"alias_kind":"pith_short_16","alias_value":"RH2TH2TRX3BLPWOQ","created_at":"2026-07-04T14:53:22.883390+00:00"},{"alias_kind":"pith_short_8","alias_value":"RH2TH2TR","created_at":"2026-07-04T14:53:22.883390+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.01008","citing_title":"Rational and non-rational two-dimensional conformal field theories arising from lattices","ref_index":52,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RH2TH2TRX3BLPWOQVS2Q5PSX2K","json":"https://pith.science/pith/RH2TH2TRX3BLPWOQVS2Q5PSX2K.json","graph_json":"https://pith.science/api/pith-number/RH2TH2TRX3BLPWOQVS2Q5PSX2K/graph.json","events_json":"https://pith.science/api/pith-number/RH2TH2TRX3BLPWOQVS2Q5PSX2K/events.json","paper":"https://pith.science/paper/RH2TH2TR"},"agent_actions":{"view_html":"https://pith.science/pith/RH2TH2TRX3BLPWOQVS2Q5PSX2K","download_json":"https://pith.science/pith/RH2TH2TRX3BLPWOQVS2Q5PSX2K.json","view_paper":"https://pith.science/paper/RH2TH2TR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0602079&json=true","fetch_graph":"https://pith.science/api/pith-number/RH2TH2TRX3BLPWOQVS2Q5PSX2K/graph.json","fetch_events":"https://pith.science/api/pith-number/RH2TH2TRX3BLPWOQVS2Q5PSX2K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RH2TH2TRX3BLPWOQVS2Q5PSX2K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RH2TH2TRX3BLPWOQVS2Q5PSX2K/action/storage_attestation","attest_author":"https://pith.science/pith/RH2TH2TRX3BLPWOQVS2Q5PSX2K/action/author_attestation","sign_citation":"https://pith.science/pith/RH2TH2TRX3BLPWOQVS2Q5PSX2K/action/citation_signature","submit_replication":"https://pith.science/pith/RH2TH2TRX3BLPWOQVS2Q5PSX2K/action/replication_record"}},"created_at":"2026-07-04T14:53:22.883390+00:00","updated_at":"2026-07-04T14:53:22.883390+00:00"}