{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:W7NRT2QMGE2KNQELB3CF7A3BIJ","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":"49aa02663ab2a6572e4f08ab2d7c68dcceea86b4a861956ef1f6579fd0aa81e9","cross_cats_sorted":["hep-th","math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-08-08T11:42:39Z","title_canon_sha256":"772c5bb0d95b7ca1cb316ea8cc70c28466fd93381a34dad72eacebd7709457e3"},"schema_version":"1.0","source":{"id":"2308.04196","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.04196","created_at":"2026-07-05T06:39:23Z"},{"alias_kind":"arxiv_version","alias_value":"2308.04196v1","created_at":"2026-07-05T06:39:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.04196","created_at":"2026-07-05T06:39:23Z"},{"alias_kind":"pith_short_12","alias_value":"W7NRT2QMGE2K","created_at":"2026-07-05T06:39:23Z"},{"alias_kind":"pith_short_16","alias_value":"W7NRT2QMGE2KNQEL","created_at":"2026-07-05T06:39:23Z"},{"alias_kind":"pith_short_8","alias_value":"W7NRT2QM","created_at":"2026-07-05T06:39:23Z"}],"graph_snapshots":[{"event_id":"sha256:b95af9ca8048650540833344822503680b8343d225dde3f0f959b34b2a5dedad","target":"graph","created_at":"2026-07-05T06:39:23Z","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/2308.04196/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Higher bundles are homotopy coherent generalisations of classical fibre bundles. They appear in numerous contexts in geometry, topology and physics. In particular, higher principal bundles provide the geometric framework for higher-group gauge theories with higher-form gauge potentials and their higher-dimensional holonomies. An $\\infty$-categorical formulation of higher bundles further allows one to identify these objects in contexts outside the worlds of smooth manifolds or topological spaces. This article reviews the theory of $\\infty$-bundles, focussing on principal $\\infty$-bundles, and s","authors_text":"Severin Bunk","cross_cats":["hep-th","math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-08-08T11:42:39Z","title":"$\\infty$-Bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.04196","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":"sha256:49cef9cd3daf33a64fc05aa026d413487b7b31f19eeace3e168f5c740f06361a","target":"record","created_at":"2026-07-05T06:39:23Z","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":"49aa02663ab2a6572e4f08ab2d7c68dcceea86b4a861956ef1f6579fd0aa81e9","cross_cats_sorted":["hep-th","math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-08-08T11:42:39Z","title_canon_sha256":"772c5bb0d95b7ca1cb316ea8cc70c28466fd93381a34dad72eacebd7709457e3"},"schema_version":"1.0","source":{"id":"2308.04196","kind":"arxiv","version":1}},"canonical_sha256":"b7db19ea0c3134a6c08b0ec45f83614276075dd0ef5cbf5dd311fd2f4402bcdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7db19ea0c3134a6c08b0ec45f83614276075dd0ef5cbf5dd311fd2f4402bcdb","first_computed_at":"2026-07-05T06:39:23.827887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:39:23.827887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BTaN16X+iBVRaYqi2/AJQqgGwiatWvbtsIY9YvfRbqbaaEu6tpyl/qSDNJIk1QN+PUIq8cvWYlC7WnYL5++7Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:39:23.828302Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.04196","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49cef9cd3daf33a64fc05aa026d413487b7b31f19eeace3e168f5c740f06361a","sha256:b95af9ca8048650540833344822503680b8343d225dde3f0f959b34b2a5dedad"],"state_sha256":"372c0e161dc4d551ebcb5cad52cb57ed17a80734e45bb26a583dd5bc1e3fe0b5"}