{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:2CZWVT4PRRXMTA2MHGW4GBAVLH","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":"d5bacd2744f15abd227cd19d2387ea4df33b9eb8da355626d259c5c0fdecddb1","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"math.AT","submitted_at":"2002-01-14T17:43:04Z","title_canon_sha256":"b1c9595948dd08adf83fcae490b1e129895bab9952bc133d888ee89be3f287a9"},"schema_version":"1.0","source":{"id":"math/0201116","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0201116","created_at":"2026-05-18T02:41:33Z"},{"alias_kind":"arxiv_version","alias_value":"math/0201116v3","created_at":"2026-05-18T02:41:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0201116","created_at":"2026-05-18T02:41:33Z"},{"alias_kind":"pith_short_12","alias_value":"2CZWVT4PRRXM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"2CZWVT4PRRXMTA2M","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"2CZWVT4P","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:bb27c625a7189492d5df9c33c16dfbf1abf599cca700889e9d261c2a4e708cc2","target":"graph","created_at":"2026-05-18T02:41:33Z","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"},"paper":{"abstract_excerpt":"For smooth finite dimensional manifolds, we characterise gerbes with connection as functors on a certain surface cobordism category. This allows us to relate gerbes with connection to Turaev's 1+1-dimensional homotopy quantum field theories, and we show that flat gerbes are related to a specific class of rank one homotopy quantum field theories.","authors_text":"Paul Turner, Simon Willerton, Ulrich Bunke","cross_cats":["math.QA"],"headline":"","license":"","primary_cat":"math.AT","submitted_at":"2002-01-14T17:43:04Z","title":"Gerbes and homotopy quantum field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0201116","kind":"arxiv","version":3},"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:dea4232fec8cd9c9d9bd06335b8f112c225df9e9c385658e479ba9f6052796b6","target":"record","created_at":"2026-05-18T02:41:33Z","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":"d5bacd2744f15abd227cd19d2387ea4df33b9eb8da355626d259c5c0fdecddb1","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"math.AT","submitted_at":"2002-01-14T17:43:04Z","title_canon_sha256":"b1c9595948dd08adf83fcae490b1e129895bab9952bc133d888ee89be3f287a9"},"schema_version":"1.0","source":{"id":"math/0201116","kind":"arxiv","version":3}},"canonical_sha256":"d0b36acf8f8c6ec9834c39adc3041559c04d231b20e8f3f9de4ddc71e50a4edf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0b36acf8f8c6ec9834c39adc3041559c04d231b20e8f3f9de4ddc71e50a4edf","first_computed_at":"2026-05-18T02:41:33.157128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:33.157128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Fndfml4sEQDOr3gjF0DARJhPIZF+Ce44nHyUaOM3u6lm9lBtgZYMAM4Xm0LBb74iKr+8/7wPuhbT1XWVch1AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:33.157674Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0201116","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dea4232fec8cd9c9d9bd06335b8f112c225df9e9c385658e479ba9f6052796b6","sha256:bb27c625a7189492d5df9c33c16dfbf1abf599cca700889e9d261c2a4e708cc2"],"state_sha256":"f0b96faa28c3ad0795d1759c79349a95402629dcfbd848c22ee55ac502d792fa"}