{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:FU36EJBCZWAQSGD3IVXYAH77VT","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":"d185e88a0f23d838fa59d77b27ad0eb2783dc1d1929c4b31ffd288c52dae9fff","cross_cats_sorted":["gr-qc","hep-th","math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1995-07-10T17:33:16Z","title_canon_sha256":"1d4f536834d03f9bfe13092bead7bd35d8d11479bae82de820cf702c9534ccec"},"schema_version":"1.0","source":{"id":"q-alg/9507006","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-alg/9507006","created_at":"2026-07-04T15:59:55Z"},{"alias_kind":"arxiv_version","alias_value":"q-alg/9507006v1","created_at":"2026-07-04T15:59:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-alg/9507006","created_at":"2026-07-04T15:59:55Z"},{"alias_kind":"pith_short_12","alias_value":"FU36EJBCZWAQ","created_at":"2026-07-04T15:59:55Z"},{"alias_kind":"pith_short_16","alias_value":"FU36EJBCZWAQSGD3","created_at":"2026-07-04T15:59:55Z"},{"alias_kind":"pith_short_8","alias_value":"FU36EJBC","created_at":"2026-07-04T15:59:55Z"}],"graph_snapshots":[{"event_id":"sha256:abbf8c6b137b59064f8e0f4e32c4f08266b95801894fd038c9751a2b544364fe","target":"graph","created_at":"2026-07-04T15:59:55Z","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/q-alg/9507006/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Starting from a Lie group G whose Lie algebra is equipped with an invariant nondegenerate symmetric bilinear form, we show that 4-dimensional BF theory with cosmological term gives rise to a TQFT satisfying a generalization of Atiyah's axioms to manifolds equipped with principal G-bundle. The case G = GL(4,R) is especially interesting because every 4-manifold is then naturally equipped with a principal G-bundle, namely its frame bundle. In this case, the partition function of a compact oriented 4-manifold is the exponential of its signature, and the resulting TQFT is isomorphic to that constru","authors_text":"John C. Baez","cross_cats":["gr-qc","hep-th","math.QA"],"headline":"","license":"","primary_cat":"q-alg","submitted_at":"1995-07-10T17:33:16Z","title":"4-Dimensional BF Theory as a Topological Quantum Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-alg/9507006","kind":"arxiv","version":1},"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:c76697e6d617658f211e556e298d4ae0e09f2ed19206b3e794a6d297beb97ebe","target":"record","created_at":"2026-07-04T15:59:55Z","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":"d185e88a0f23d838fa59d77b27ad0eb2783dc1d1929c4b31ffd288c52dae9fff","cross_cats_sorted":["gr-qc","hep-th","math.QA"],"license":"","primary_cat":"q-alg","submitted_at":"1995-07-10T17:33:16Z","title_canon_sha256":"1d4f536834d03f9bfe13092bead7bd35d8d11479bae82de820cf702c9534ccec"},"schema_version":"1.0","source":{"id":"q-alg/9507006","kind":"arxiv","version":1}},"canonical_sha256":"2d37e22422cd8109187b456f801fffacf2b4ef623c0a97515a390ac014caf678","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d37e22422cd8109187b456f801fffacf2b4ef623c0a97515a390ac014caf678","first_computed_at":"2026-07-04T15:59:55.592738Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:59:55.592738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n2xckefy0XvGp41D8lpFyezYOUfPbchsULr2OMLi585PUB/M1HZodKqSPoGEwNuRDyGM8zjMTBBwZO9vzlc9Aw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:59:55.593121Z","signed_message":"canonical_sha256_bytes"},"source_id":"q-alg/9507006","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c76697e6d617658f211e556e298d4ae0e09f2ed19206b3e794a6d297beb97ebe","sha256:abbf8c6b137b59064f8e0f4e32c4f08266b95801894fd038c9751a2b544364fe"],"state_sha256":"1b3f1c7907742637a4138edd573ff311c232719bdbbc782736e67374e8f79994"}