{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:4FYPD264LT462PREVCHYXIVBS7","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":"a7933b94e62415efe9e327e6aa15b83db7ae0ac9678639d8eeb1ca739156357a","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"1999-08-26T08:55:25Z","title_canon_sha256":"276687b6248f7e954c7da949d82876431ad299819a3d616914a7f09223e6d472"},"schema_version":"1.0","source":{"id":"math/9908135","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9908135","created_at":"2026-07-04T14:41:17Z"},{"alias_kind":"arxiv_version","alias_value":"math/9908135v1","created_at":"2026-07-04T14:41:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9908135","created_at":"2026-07-04T14:41:17Z"},{"alias_kind":"pith_short_12","alias_value":"4FYPD264LT46","created_at":"2026-07-04T14:41:17Z"},{"alias_kind":"pith_short_16","alias_value":"4FYPD264LT462PRE","created_at":"2026-07-04T14:41:17Z"},{"alias_kind":"pith_short_8","alias_value":"4FYPD264","created_at":"2026-07-04T14:41:17Z"}],"graph_snapshots":[{"event_id":"sha256:25238f610a03e76876f0092f7939ee0a2e281a5b95886d88e2c369cdb7a040c5","target":"graph","created_at":"2026-07-04T14:41:17Z","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/9908135/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the notion of stable isomorphism of bundle gerbes. It has the consequence that the stable isomorphism classes of bundle gerbes over a manifold M are in bijective correspondence with H^3(M, Z). Stable isomorphism sheds light on the local theory of bundle gerbes and enables us to develop a classifying theory for bundle gerbes using results of Gajer on BC^x bundles.","authors_text":"Daniel Stevenson, Michael K. Murray","cross_cats":[],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"1999-08-26T08:55:25Z","title":"Bundle gerbes: stable isomorphism and local theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9908135","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":"sha256:8233b017fecbfe724facfc6ac2bda1b26e1bb8cc890c86b2e93a9c3c28f68499","target":"record","created_at":"2026-07-04T14:41:17Z","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":"a7933b94e62415efe9e327e6aa15b83db7ae0ac9678639d8eeb1ca739156357a","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"1999-08-26T08:55:25Z","title_canon_sha256":"276687b6248f7e954c7da949d82876431ad299819a3d616914a7f09223e6d472"},"schema_version":"1.0","source":{"id":"math/9908135","kind":"arxiv","version":1}},"canonical_sha256":"e170f1ebdc5cf9ed3e24a88f8ba2a197f95552ae9433ae8b68e109474ee30694","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e170f1ebdc5cf9ed3e24a88f8ba2a197f95552ae9433ae8b68e109474ee30694","first_computed_at":"2026-07-04T14:41:17.258088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:41:17.258088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"meYXo1ObKIGf4F9Jh5ayCy1mildkbgALT51M3lUlfi2FhX/qaNxEM4VimOaqGp7k1Mu8xKIRviDbFJAJW9uGBg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:41:17.258485Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9908135","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8233b017fecbfe724facfc6ac2bda1b26e1bb8cc890c86b2e93a9c3c28f68499","sha256:25238f610a03e76876f0092f7939ee0a2e281a5b95886d88e2c369cdb7a040c5"],"state_sha256":"049cb1310da7b1cd19bdb66bb821cbc61899f688fed9e8f2ad652b3d55fdfb4b"}