{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:BEXK2UG35NX4XTFEMA7IBOCCS7","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":"17f3ea5a02da603d906fd382eb9c8f511fe4e2e4b79cb0ff41737fab4d9e61b4","cross_cats_sorted":["hep-th","math.CT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2008-01-08T14:41:39Z","title_canon_sha256":"2a6ea8bddbec56ad9d6ab7eca773399fa512dd5f2b9b47b0d6a9945eba1716a2"},"schema_version":"1.0","source":{"id":"0801.1238","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.1238","created_at":"2026-07-05T00:11:27Z"},{"alias_kind":"arxiv_version","alias_value":"0801.1238v3","created_at":"2026-07-05T00:11:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.1238","created_at":"2026-07-05T00:11:27Z"},{"alias_kind":"pith_short_12","alias_value":"BEXK2UG35NX4","created_at":"2026-07-05T00:11:27Z"},{"alias_kind":"pith_short_16","alias_value":"BEXK2UG35NX4XTFE","created_at":"2026-07-05T00:11:27Z"},{"alias_kind":"pith_short_8","alias_value":"BEXK2UG3","created_at":"2026-07-05T00:11:27Z"}],"graph_snapshots":[{"event_id":"sha256:5c9707c9a23ed799cfcc69c041d0fdf338a97e89e48c99fbc0ecc5eb55e6ba64","target":"graph","created_at":"2026-07-05T00:11:27Z","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/0801.1238/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $G$ be a Lie group and $G\\to\\Aut(G)$ be the canonical group homomorphism induced by the adjoint action of a group on itself. We give an explicit description of a 1-1 correspondence between Morita equivalence classes of, on the one hand, principal 2-group $[G\\to\\Aut(G)]$-bundles over Lie groupoids and, on the other hand, $G$-extensions of Lie groupoids (i.e.\\ between principal $[G\\to\\Aut(G)]$-bundles over differentiable stacks and $G$-gerbes over differentiable stacks). This approach also allows us to identify $G$-bound gerbes and $[Z(G)\\to 1]$-group bundles over differentiable stacks, wher","authors_text":"Gregory Ginot, Mathieu Stienon","cross_cats":["hep-th","math.CT","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2008-01-08T14:41:39Z","title":"G-gerbes, principal 2-group bundles and characteristic classes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.1238","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":"sha256:87dce8d24db09fe06b40502404785c47138579586fcf62f8b2698df9bc00d2e7","target":"record","created_at":"2026-07-05T00:11:27Z","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":"17f3ea5a02da603d906fd382eb9c8f511fe4e2e4b79cb0ff41737fab4d9e61b4","cross_cats_sorted":["hep-th","math.CT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2008-01-08T14:41:39Z","title_canon_sha256":"2a6ea8bddbec56ad9d6ab7eca773399fa512dd5f2b9b47b0d6a9945eba1716a2"},"schema_version":"1.0","source":{"id":"0801.1238","kind":"arxiv","version":3}},"canonical_sha256":"092ead50dbeb6fcbcca4603e80b84297f99bbd12a80eff98522eda4a4e7f33d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"092ead50dbeb6fcbcca4603e80b84297f99bbd12a80eff98522eda4a4e7f33d7","first_computed_at":"2026-07-05T00:11:27.914098Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:11:27.914098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K7X1Tmydm8+tefJoKaYuiF4TJcv18Cyi7HqtB3bJPXeWeMeaN3gdy/HiRlrUUH2n6BNt0ilS51YAv8mzsi9rDw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:11:27.914582Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.1238","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87dce8d24db09fe06b40502404785c47138579586fcf62f8b2698df9bc00d2e7","sha256:5c9707c9a23ed799cfcc69c041d0fdf338a97e89e48c99fbc0ecc5eb55e6ba64"],"state_sha256":"5fbbb67d12136daab86e2101fff3b462d4054bc9685217e6f0f630e0bb21320a"}