{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:BTXGOHBDPIYPLMALRZJAXXVRWW","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":"736cf1a776f6c327395de89a3e8aefc528fcf9d099d4b2cf22097a1024c449e4","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-03-26T10:38:04Z","title_canon_sha256":"c1211e815274a7a649c065dc81f8c37a8b708c93c782398678314768a5441e92"},"schema_version":"1.0","source":{"id":"0803.3692","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0803.3692","created_at":"2026-05-18T04:13:57Z"},{"alias_kind":"arxiv_version","alias_value":"0803.3692v4","created_at":"2026-05-18T04:13:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0803.3692","created_at":"2026-05-18T04:13:57Z"},{"alias_kind":"pith_short_12","alias_value":"BTXGOHBDPIYP","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"BTXGOHBDPIYPLMAL","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"BTXGOHBD","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:4689a9ba20a418366eb731c1344fdceffa5e69cc4b146c1ef4ab22d6e2bf6725","target":"graph","created_at":"2026-05-18T04:13:57Z","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":"In this paper we introduce principal 2-bundles and show how they are classified by non-abelian Cech cohomology. Moreover, we show that their gauge 2-groups can be described by 2-group-valued functors, much like in classical bundle theory. Using this, we show that, under some mild requirements, these gauge 2-groups possess a natural smooth structure. In the last section we provide some explicit examples.","authors_text":"Christoph Wockel","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-03-26T10:38:04Z","title":"Principal 2-bundles and their gauge 2-groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0803.3692","kind":"arxiv","version":4},"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:bccb2ac565a4356d6be5ef163ff9c62c3c4c05d54449f18562819454f1fb79e7","target":"record","created_at":"2026-05-18T04:13:57Z","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":"736cf1a776f6c327395de89a3e8aefc528fcf9d099d4b2cf22097a1024c449e4","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-03-26T10:38:04Z","title_canon_sha256":"c1211e815274a7a649c065dc81f8c37a8b708c93c782398678314768a5441e92"},"schema_version":"1.0","source":{"id":"0803.3692","kind":"arxiv","version":4}},"canonical_sha256":"0cee671c237a30f5b00b8e520bdeb1b585de587d4c08d3d8f7b22cca33f23b26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cee671c237a30f5b00b8e520bdeb1b585de587d4c08d3d8f7b22cca33f23b26","first_computed_at":"2026-05-18T04:13:57.117067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:57.117067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"axEeFdwS41E3+WlFsNp+tc45RHaXMKWRL6StYX9i0Y5dkIky0mvMo/ZqNVCC+5rXdOcOtk7awWsBi8sT6WDODg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:57.117623Z","signed_message":"canonical_sha256_bytes"},"source_id":"0803.3692","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bccb2ac565a4356d6be5ef163ff9c62c3c4c05d54449f18562819454f1fb79e7","sha256:4689a9ba20a418366eb731c1344fdceffa5e69cc4b146c1ef4ab22d6e2bf6725"],"state_sha256":"7a9aaaef075efa10752179196d0d56c7c7f0d97b502ab14620daa8f1e35949dc"}