{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:TT7RHUUDJNRLMLX52AIR7TIOKV","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":"face673fe977525a458ea9ecd8104e7b160ddfdf90062d47cc1d3fdebc7523d3","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-01-29T12:14:12Z","title_canon_sha256":"e0f5d369f06aa8090da0a9e0d6b263e082ed8defd1a4a4a11b6396e107e6540b"},"schema_version":"1.0","source":{"id":"2601.21607","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.21607","created_at":"2026-07-14T01:20:52Z"},{"alias_kind":"arxiv_version","alias_value":"2601.21607v2","created_at":"2026-07-14T01:20:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.21607","created_at":"2026-07-14T01:20:52Z"},{"alias_kind":"pith_short_12","alias_value":"TT7RHUUDJNRL","created_at":"2026-07-14T01:20:52Z"},{"alias_kind":"pith_short_16","alias_value":"TT7RHUUDJNRLMLX5","created_at":"2026-07-14T01:20:52Z"},{"alias_kind":"pith_short_8","alias_value":"TT7RHUUD","created_at":"2026-07-14T01:20:52Z"}],"graph_snapshots":[{"event_id":"sha256:3ed1ee33d7e4fdcc15e2ad2c8f44c47946a6f958a222c7b7f3bc5d4d4320452b","target":"graph","created_at":"2026-07-14T01:20:52Z","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/2601.21607/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we give a compact formulation of strict higher gauge theory based on generalized (differential) forms that package fields of multiple form degrees into a single variable. We define generalized forms valued in higher algebras and higher groups and derive the corresponding Maurer--Cartan structures. This leads to uniform, gauge-theory-like expressions for higher connections, curvatures, Bianchi identities, and gauge transformations. We further construct action principles for higher Chern--Simons and higher Yang--Mills theories within the same formalism and compute the associated t","authors_text":"Danhua Song, Mengyao Wu","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-01-29T12:14:12Z","title":"Generalized forms of types N = 1, 2 and higher gauge theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.21607","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":"sha256:433df3f380b9abc698d4892597d939ad880a0ece6d5ceee57bf7d9546d8030f9","target":"record","created_at":"2026-07-14T01:20:52Z","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":"face673fe977525a458ea9ecd8104e7b160ddfdf90062d47cc1d3fdebc7523d3","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-01-29T12:14:12Z","title_canon_sha256":"e0f5d369f06aa8090da0a9e0d6b263e082ed8defd1a4a4a11b6396e107e6540b"},"schema_version":"1.0","source":{"id":"2601.21607","kind":"arxiv","version":2}},"canonical_sha256":"9cff13d2834b62b62efdd0111fcd0e55687879c86076c1847b7f9ddc9e2c84ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9cff13d2834b62b62efdd0111fcd0e55687879c86076c1847b7f9ddc9e2c84ab","first_computed_at":"2026-07-14T01:20:52.382502Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T01:20:52.382502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l9Y7crFIpl48ihJZnEx/SxIV0+1aqY39jKS7firhWwWUV7Wg5RwKie5PupTvUJRGtkR/w/u43wfVL/U9BASrBg==","signature_status":"signed_v1","signed_at":"2026-07-14T01:20:52.383407Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.21607","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:433df3f380b9abc698d4892597d939ad880a0ece6d5ceee57bf7d9546d8030f9","sha256:3ed1ee33d7e4fdcc15e2ad2c8f44c47946a6f958a222c7b7f3bc5d4d4320452b"],"state_sha256":"17ceb354ea1882d4b32b7e521ccecefaaa0aea81a37a34c9f74dc4a7fcae12ce"}