{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IX565YH4GGG5KPZTYWKUM3TF6X","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":"3e8c22980fa1c6cfa8bf0d130ae0368bccb88d2a1c5c68f213670d72d6515ba8","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-01-27T22:03:03Z","title_canon_sha256":"8136ade893f7c72c0b66594715117a215a37813fce97b8207f0118bfcd74c7e8"},"schema_version":"1.0","source":{"id":"1301.6407","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6407","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6407v1","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6407","created_at":"2026-05-18T02:00:59Z"},{"alias_kind":"pith_short_12","alias_value":"IX565YH4GGG5","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"IX565YH4GGG5KPZT","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"IX565YH4","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:957aef2f962063c30b4aff441388a4c1e14cd957f1d13707649415c4c51c19d7","target":"graph","created_at":"2026-05-18T02:00:59Z","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 give a precise definition and produce a path-integral computation of the normalized partition function of the abelian U(1) Chern-Simons field theory defined in a general closed oriented 3-manifold. We use the Deligne-Beilinson formalism, we sum over the inequivalent U(1) principal bundles over the manifold and, for each bundle, we integrate over the gauge orbits of the associated connection 1- forms. The result of the functional integration is compared with the abelian U(1) Reshetikhin-Turaev surgery invariant.","authors_text":"E. Guadagnini, F. Thuillier","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-01-27T22:03:03Z","title":"Three-manifold invariant from functional integration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6407","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":"sha256:2fb13e34a592e5aaaf261e79f7a5e692a1aad467819aba8cbd3a80d0f49ef798","target":"record","created_at":"2026-05-18T02:00:59Z","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":"3e8c22980fa1c6cfa8bf0d130ae0368bccb88d2a1c5c68f213670d72d6515ba8","cross_cats_sorted":["hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-01-27T22:03:03Z","title_canon_sha256":"8136ade893f7c72c0b66594715117a215a37813fce97b8207f0118bfcd74c7e8"},"schema_version":"1.0","source":{"id":"1301.6407","kind":"arxiv","version":1}},"canonical_sha256":"45fbeee0fc318dd53f33c595466e65f5c4fbc49b75ce53651f0c50fc1e6133d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45fbeee0fc318dd53f33c595466e65f5c4fbc49b75ce53651f0c50fc1e6133d9","first_computed_at":"2026-05-18T02:00:59.293809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:59.293809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tI3K2FmRY5X9zmxS6K1hAYLukSMcrMCLU0PYB8We+Z3SsWmFFJ+G1mrs31xKznNnfnZH1iy9HOMkICGU7ipLBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:59.294803Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.6407","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fb13e34a592e5aaaf261e79f7a5e692a1aad467819aba8cbd3a80d0f49ef798","sha256:957aef2f962063c30b4aff441388a4c1e14cd957f1d13707649415c4c51c19d7"],"state_sha256":"f9bbba56670a6f174fb87ac0fe4ccb5d518f75fb9c2725ee4b918c1ecdca2a8a"}