{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:CVPO6KH2VWTMUKM3HHLJNUY6PY","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":"8ef017c5443f9b3fee49506831704825c4741bd352ff922706697aa97b05005c","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"2003-02-06T15:31:30Z","title_canon_sha256":"8863cfcdc20ac7cfd1d2d513defbecd0a795ace28108e83e9f3cfeb23c8d37d1"},"schema_version":"1.0","source":{"id":"math/0302065","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0302065","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"arxiv_version","alias_value":"math/0302065v3","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0302065","created_at":"2026-05-18T02:41:32Z"},{"alias_kind":"pith_short_12","alias_value":"CVPO6KH2VWTM","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"CVPO6KH2VWTMUKM3","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"CVPO6KH2","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:30d17c55d7080421149ea764a9d4110b18445047a2b2e4b12ba174048bc956f4","target":"graph","created_at":"2026-05-18T02:41:32Z","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":"We generalize the notion of parallel transport along paths for abelian bundles to parallel transport along surfaces for abelian gerbes using an embedded Topological Quantum Field Theory (TQFT) approach. We show both for bundles and gerbes with connection that there is a one-to-one correspondence between their local description in terms of locally-defined functions and forms and their non-local description in terms of a suitable class of embedded TQFT's.","authors_text":"Roger Picken","cross_cats":[],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2003-02-06T15:31:30Z","title":"TQFT's and gerbes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0302065","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":"sha256:4c001b3dbe434188465918601838c0251f61a4e836327866c23e27af2889b693","target":"record","created_at":"2026-05-18T02:41:32Z","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":"8ef017c5443f9b3fee49506831704825c4741bd352ff922706697aa97b05005c","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"2003-02-06T15:31:30Z","title_canon_sha256":"8863cfcdc20ac7cfd1d2d513defbecd0a795ace28108e83e9f3cfeb23c8d37d1"},"schema_version":"1.0","source":{"id":"math/0302065","kind":"arxiv","version":3}},"canonical_sha256":"155eef28faada6ca299b39d696d31e7e03b0f2ef0c9bb1527a1d99a24375b47a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"155eef28faada6ca299b39d696d31e7e03b0f2ef0c9bb1527a1d99a24375b47a","first_computed_at":"2026-05-18T02:41:32.753887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:32.753887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7sNM581pY0saKve6frNzHL7hFLveAlhrFKIa1XSMfNJGKmFUoomnvdk88jN9GaxeCX8/a6DKO9DXuIPxPdb9Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:32.754300Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0302065","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c001b3dbe434188465918601838c0251f61a4e836327866c23e27af2889b693","sha256:30d17c55d7080421149ea764a9d4110b18445047a2b2e4b12ba174048bc956f4"],"state_sha256":"e8873d641552a05a3025074bc64b854f70cd23d8752dc3c5f14846d8a4d4c378"}