{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:7XFB74JUPUBVVE6QM2BD56EY7B","short_pith_number":"pith:7XFB74JU","canonical_record":{"source":{"id":"hep-th/0306164","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-06-17T18:53:40Z","cross_cats_sorted":["math.CT","math.QA"],"title_canon_sha256":"404a8d5c23680777b382278bf7b041d301661302ddb515ed48238023a696861c","abstract_canon_sha256":"64a0532f8f4d75287919ef25adeca880d513fceddc55d120fe4296006bbbd273"},"schema_version":"1.0"},"canonical_sha256":"fdca1ff1347d035a93d066823ef898f84649137497f4923b9aa77b24c0da2a94","source":{"kind":"arxiv","id":"hep-th/0306164","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0306164","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0306164v2","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0306164","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"pith_short_12","alias_value":"7XFB74JUPUBV","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"pith_short_16","alias_value":"7XFB74JUPUBVVE6Q","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"pith_short_8","alias_value":"7XFB74JU","created_at":"2026-07-04T17:24:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:7XFB74JUPUBVVE6QM2BD56EY7B","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0306164","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-06-17T18:53:40Z","cross_cats_sorted":["math.CT","math.QA"],"title_canon_sha256":"404a8d5c23680777b382278bf7b041d301661302ddb515ed48238023a696861c","abstract_canon_sha256":"64a0532f8f4d75287919ef25adeca880d513fceddc55d120fe4296006bbbd273"},"schema_version":"1.0"},"canonical_sha256":"fdca1ff1347d035a93d066823ef898f84649137497f4923b9aa77b24c0da2a94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:24:42.938149Z","signature_b64":"IZWqP5HgBq+Wqf/tXzsVrDJPn0Id93WklR3mTuWSBeCpOtQq6VwXKC09Ej4lkbWpSaY8EDzb088H8tjBQolvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fdca1ff1347d035a93d066823ef898f84649137497f4923b9aa77b24c0da2a94","last_reissued_at":"2026-07-04T17:24:42.937751Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:24:42.937751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0306164","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:24:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l29DxfQWbqjDwawaXW+nCJ3zJjcSRhlP7mid6fyKGOMOUTUZKLIMkd+w3PoDKmjqrkjp65UXMdARAI5vv77vBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:35:54.552095Z"},"content_sha256":"cf318bc4194c1335bc81b361eddc33956afffa7e8f5cc4b5524cbc1cc0daeb67","schema_version":"1.0","event_id":"sha256:cf318bc4194c1335bc81b361eddc33956afffa7e8f5cc4b5524cbc1cc0daeb67"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:7XFB74JUPUBVVE6QM2BD56EY7B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"TFT construction of RCFT correlators II: Unoriented world sheets","license":"","headline":"","cross_cats":["math.CT","math.QA"],"primary_cat":"hep-th","authors_text":"Christoph Schweigert, Ingo Runkel, J\\\"urgen Fuchs","submitted_at":"2003-06-17T18:53:40Z","abstract_excerpt":"A full rational CFT, consistent on all orientable world sheets, can be constructed from the underlying chiral CFT, i.e. a vertex algebra, its representation category C, and the system of chiral blocks, once we select a symmetric special Frobenius algebra A in the category C [I]. Here we show that the construction of [I] can be extended to unoriented world sheets by specifying one additional datum: a reversion on A - an isomorphism from the opposed algebra of A to A that squares to the twist. A given full CFT on oriented surfaces can admit inequivalent reversions, which give rise to different a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0306164","kind":"arxiv","version":2},"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/hep-th/0306164/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:24:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EBiSONSkSxEJUSJAPCttg6rufD0YDxOljGXXXcZCr3ph7+c7H3vfHjybvZa9jtVtPL88kq4eyadvtC9WrJVcDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:35:54.552483Z"},"content_sha256":"9b6d375c64033139eda61ee894cfac7e370cff5f75c6746676a99a64b4471578","schema_version":"1.0","event_id":"sha256:9b6d375c64033139eda61ee894cfac7e370cff5f75c6746676a99a64b4471578"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7XFB74JUPUBVVE6QM2BD56EY7B/bundle.json","state_url":"https://pith.science/pith/7XFB74JUPUBVVE6QM2BD56EY7B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7XFB74JUPUBVVE6QM2BD56EY7B/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-05T08:35:54Z","links":{"resolver":"https://pith.science/pith/7XFB74JUPUBVVE6QM2BD56EY7B","bundle":"https://pith.science/pith/7XFB74JUPUBVVE6QM2BD56EY7B/bundle.json","state":"https://pith.science/pith/7XFB74JUPUBVVE6QM2BD56EY7B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7XFB74JUPUBVVE6QM2BD56EY7B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:7XFB74JUPUBVVE6QM2BD56EY7B","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"64a0532f8f4d75287919ef25adeca880d513fceddc55d120fe4296006bbbd273","cross_cats_sorted":["math.CT","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2003-06-17T18:53:40Z","title_canon_sha256":"404a8d5c23680777b382278bf7b041d301661302ddb515ed48238023a696861c"},"schema_version":"1.0","source":{"id":"hep-th/0306164","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0306164","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0306164v2","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0306164","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"pith_short_12","alias_value":"7XFB74JUPUBV","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"pith_short_16","alias_value":"7XFB74JUPUBVVE6Q","created_at":"2026-07-04T17:24:42Z"},{"alias_kind":"pith_short_8","alias_value":"7XFB74JU","created_at":"2026-07-04T17:24:42Z"}],"graph_snapshots":[{"event_id":"sha256:9b6d375c64033139eda61ee894cfac7e370cff5f75c6746676a99a64b4471578","target":"graph","created_at":"2026-07-04T17:24:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0306164/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A full rational CFT, consistent on all orientable world sheets, can be constructed from the underlying chiral CFT, i.e. a vertex algebra, its representation category C, and the system of chiral blocks, once we select a symmetric special Frobenius algebra A in the category C [I]. Here we show that the construction of [I] can be extended to unoriented world sheets by specifying one additional datum: a reversion on A - an isomorphism from the opposed algebra of A to A that squares to the twist. A given full CFT on oriented surfaces can admit inequivalent reversions, which give rise to different a","authors_text":"Christoph Schweigert, Ingo Runkel, J\\\"urgen Fuchs","cross_cats":["math.CT","math.QA"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-06-17T18:53:40Z","title":"TFT construction of RCFT correlators II: Unoriented world sheets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0306164","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:cf318bc4194c1335bc81b361eddc33956afffa7e8f5cc4b5524cbc1cc0daeb67","target":"record","created_at":"2026-07-04T17:24:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"64a0532f8f4d75287919ef25adeca880d513fceddc55d120fe4296006bbbd273","cross_cats_sorted":["math.CT","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2003-06-17T18:53:40Z","title_canon_sha256":"404a8d5c23680777b382278bf7b041d301661302ddb515ed48238023a696861c"},"schema_version":"1.0","source":{"id":"hep-th/0306164","kind":"arxiv","version":2}},"canonical_sha256":"fdca1ff1347d035a93d066823ef898f84649137497f4923b9aa77b24c0da2a94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdca1ff1347d035a93d066823ef898f84649137497f4923b9aa77b24c0da2a94","first_computed_at":"2026-07-04T17:24:42.937751Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:24:42.937751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IZWqP5HgBq+Wqf/tXzsVrDJPn0Id93WklR3mTuWSBeCpOtQq6VwXKC09Ej4lkbWpSaY8EDzb088H8tjBQolvBg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:24:42.938149Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0306164","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf318bc4194c1335bc81b361eddc33956afffa7e8f5cc4b5524cbc1cc0daeb67","sha256:9b6d375c64033139eda61ee894cfac7e370cff5f75c6746676a99a64b4471578"],"state_sha256":"27c962b3a00d49c11f5f80ea4a1c1fc49d58b1e150190354862054334ba29a74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x6VXIPmIu0RAXfFIXy1HMiFp6lnktgDrUUoZPLnXIF//+wZxOWv8jPkrHOQF4uc5nFKwX7RFS1+LDLxUwyVfCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T08:35:54.554486Z","bundle_sha256":"6b9acf6d81b633375e8f3536a2cabdc12af27f181992b00d3c6d8fec52f9275a"}}