{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:WSO2Z3UJA4BTFQT5BZ33M5ZFQA","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":"2e399b654668fed7e4d850767e378d1478b4eb5c27c3645a2c0887d9cf9a95c1","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.DG","submitted_at":"2004-10-01T15:53:43Z","title_canon_sha256":"46d9a8165878a892d5fc12f329e32494ea62cec03980d691f93743209860e479"},"schema_version":"1.0","source":{"id":"math/0410013","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0410013","created_at":"2026-07-04T16:49:15Z"},{"alias_kind":"arxiv_version","alias_value":"math/0410013v2","created_at":"2026-07-04T16:49:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0410013","created_at":"2026-07-04T16:49:15Z"},{"alias_kind":"pith_short_12","alias_value":"WSO2Z3UJA4BT","created_at":"2026-07-04T16:49:15Z"},{"alias_kind":"pith_short_16","alias_value":"WSO2Z3UJA4BTFQT5","created_at":"2026-07-04T16:49:15Z"},{"alias_kind":"pith_short_8","alias_value":"WSO2Z3UJ","created_at":"2026-07-04T16:49:15Z"}],"graph_snapshots":[{"event_id":"sha256:2689fc445e423cc707d3863b9b7a4067db3634cc7f5813f250b8138372b38f7f","target":"graph","created_at":"2026-07-04T16:49:15Z","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/math/0410013/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop the theory of Chern-Simons bundle 2-gerbes and multiplicative bundle gerbes associated to any principal $G$-bundle with connection and a class in $H^4(BG, \\ZZ)$ for a compact semi-simple Lie group $G$. The Chern-Simons bundle 2-gerbe realises differential geometrically the Cheeger-Simons invariant. We apply these notions to refine the Dijkgraaf-Witten correspondence between three dimensional Chern-Simons functionals and Wess-Zumino-Witten models associated to the group $G$. We do this by introducing a lifting to the level of bundle gerbes of the natural map from $H^4(BG, \\ZZ)$ to $H","authors_text":"Alan L. Carey, Bai-Ling Wang, Danny Stevenson, Michael K. Murray, Stuart Johnson","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2004-10-01T15:53:43Z","title":"Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0410013","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":"sha256:981b57b7e51a31bf9902089868b3c69c00274aaae8a713958eb9e892e9673405","target":"record","created_at":"2026-07-04T16:49:15Z","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":"2e399b654668fed7e4d850767e378d1478b4eb5c27c3645a2c0887d9cf9a95c1","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.DG","submitted_at":"2004-10-01T15:53:43Z","title_canon_sha256":"46d9a8165878a892d5fc12f329e32494ea62cec03980d691f93743209860e479"},"schema_version":"1.0","source":{"id":"math/0410013","kind":"arxiv","version":2}},"canonical_sha256":"b49dacee89070332c27d0e77b67725801128c2c84530c2dc5da02174d8813bd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b49dacee89070332c27d0e77b67725801128c2c84530c2dc5da02174d8813bd8","first_computed_at":"2026-07-04T16:49:15.564810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:49:15.564810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YSF1qI5RUCNzffqTQQKb+hBukT6fFhtxJKOGVgqeNpgDWw8/9XJz6tRzJbpaTNVouQ0edJbM7ppfb2Zj58VVBw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:49:15.565149Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0410013","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:981b57b7e51a31bf9902089868b3c69c00274aaae8a713958eb9e892e9673405","sha256:2689fc445e423cc707d3863b9b7a4067db3634cc7f5813f250b8138372b38f7f"],"state_sha256":"8a5bc0997c4d6728d8be973ecc241d68256efb0a199bdf4869a755cec79d6e24"}