{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:C5VBYASZ72HOLHM6H7JFBW6ILG","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":"be0357b1624b72f64c4930ce9a961eb8a0ef2716cda1b278b43d48bd585eb018","cross_cats_sorted":["math.MP","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-26T16:37:21Z","title_canon_sha256":"efb734d8e53f1860104c43ce09744b1dcb3cc92e132f4220aeeefd28139ec4f0"},"schema_version":"1.0","source":{"id":"1303.6551","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6551","created_at":"2026-05-18T03:18:40Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6551v3","created_at":"2026-05-18T03:18:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6551","created_at":"2026-05-18T03:18:40Z"},{"alias_kind":"pith_short_12","alias_value":"C5VBYASZ72HO","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"C5VBYASZ72HOLHM6","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"C5VBYASZ","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:7d1f780eb33beab9ebb322f7af245617ec05c1c821dc348c3f5d21244437dce2","target":"graph","created_at":"2026-05-18T03:18:40Z","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":"A generalized theory of gauge transformations is presented on the basis of the covariant Hamiltonian formalism of field theory, for which the covariant canonical field equations are equivalent to the Euler-Lagrange field equations. Similar to the canonical transformation theory of point dynamics, the canonical transformation rules for fields are derived from generating functions. Thus---in contrast to the usual Lagrangian description---the covariant canonical transformation formalism automatically ensures the mappings to preserve the action principle, and hence to be {\\em physical}. On that ba","authors_text":"J\\\"urgen Struckmeier","cross_cats":["math.MP","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-26T16:37:21Z","title":"Emerging of massive gauge particles in inhomogeneous local gauge transformations: replacement of Higgs mechanism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6551","kind":"arxiv","version":3},"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:ffdc92f65f372df4b5ac1beb1dc2ffc68577cb1aafba7b70b650f91d885b4d10","target":"record","created_at":"2026-05-18T03:18:40Z","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":"be0357b1624b72f64c4930ce9a961eb8a0ef2716cda1b278b43d48bd585eb018","cross_cats_sorted":["math.MP","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-26T16:37:21Z","title_canon_sha256":"efb734d8e53f1860104c43ce09744b1dcb3cc92e132f4220aeeefd28139ec4f0"},"schema_version":"1.0","source":{"id":"1303.6551","kind":"arxiv","version":3}},"canonical_sha256":"176a1c0259fe8ee59d9e3fd250dbc859aaca60e022fb7621b0ab0721bc36567d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"176a1c0259fe8ee59d9e3fd250dbc859aaca60e022fb7621b0ab0721bc36567d","first_computed_at":"2026-05-18T03:18:40.090749Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:40.090749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b0/RL7jFauDYTkub2lh/FMXmzoVMp7CZH6QWIyEHLxH+FZjwoP0xPW+rDUGmGNWlTmNOz2GZIHQOQXBqVgDaDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:40.091458Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.6551","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffdc92f65f372df4b5ac1beb1dc2ffc68577cb1aafba7b70b650f91d885b4d10","sha256:7d1f780eb33beab9ebb322f7af245617ec05c1c821dc348c3f5d21244437dce2"],"state_sha256":"ad42210fd68ce2b96baae3f12c91900e4798455abef51d718dc01befa16d9639"}