{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:HZ3FMECB5EUY5I3GYPG6ENEYRT","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":"6406c3948b3d38dc145cb5242e4004cb06667720c76035d3fde77e10d1f344e0","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-10-04T15:10:01Z","title_canon_sha256":"091b816acd10316276d0da89f1a68211085c08070e68a052fc18593ee1813eb8"},"schema_version":"1.0","source":{"id":"2010.01597","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.01597","created_at":"2026-07-05T02:29:32Z"},{"alias_kind":"arxiv_version","alias_value":"2010.01597v4","created_at":"2026-07-05T02:29:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.01597","created_at":"2026-07-05T02:29:32Z"},{"alias_kind":"pith_short_12","alias_value":"HZ3FMECB5EUY","created_at":"2026-07-05T02:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"HZ3FMECB5EUY5I3G","created_at":"2026-07-05T02:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"HZ3FMECB","created_at":"2026-07-05T02:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:f1aa1d9b87f5d4d178e0f105b79af06cba984bc63a2f7236bcfeeee1ac485f3d","target":"graph","created_at":"2026-07-05T02:29:32Z","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/2010.01597/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We take advantage of the principal bundle geometry of the space of connections to obtain general results on the presymplectic structure of two classes of (pure) gauge theories: invariant theories, and non-invariant theories satisfying two restricting hypothesis. In particular, we derive the general field-dependent gauge transformations of the presymplectic potential and presymplectic 2-form in both cases. We point-out that a generalisation of the standard bundle geometry, called twisted geometry, arises naturally in the study of non-invariant gauge theories (e.g. non-Abelian Chern-Simons theor","authors_text":"Jordan Fran\\c{c}ois","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-10-04T15:10:01Z","title":"Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.01597","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":"sha256:30c2e71012c640ded34e686085df45d82673a358b55a96a6c62291821259b7cf","target":"record","created_at":"2026-07-05T02:29:32Z","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":"6406c3948b3d38dc145cb5242e4004cb06667720c76035d3fde77e10d1f344e0","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2020-10-04T15:10:01Z","title_canon_sha256":"091b816acd10316276d0da89f1a68211085c08070e68a052fc18593ee1813eb8"},"schema_version":"1.0","source":{"id":"2010.01597","kind":"arxiv","version":4}},"canonical_sha256":"3e76561041e9298ea366c3cde234988ce6d860095aa07831a89bceb1e7733356","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e76561041e9298ea366c3cde234988ce6d860095aa07831a89bceb1e7733356","first_computed_at":"2026-07-05T02:29:32.703513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:29:32.703513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qQhzOOkX3tJHx7J8gvYgPR3nSJUWsAGJ12GZF4m+FsiKcWsYbxCZtEE+U4FaD/OXayYRPZNvGzcQMXIyxxMuCg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:29:32.704000Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.01597","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30c2e71012c640ded34e686085df45d82673a358b55a96a6c62291821259b7cf","sha256:f1aa1d9b87f5d4d178e0f105b79af06cba984bc63a2f7236bcfeeee1ac485f3d"],"state_sha256":"3fb9ceec48109fed5c21c179bb371b554abc313efbba209382b58de80ebbb9e4"}