{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:NPBJV5QYBOQXWR2FBNF2RVIVQQ","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":"588152115492f60778460cf4f734f48494ed097ddf15deec36d3e54428ee1ef4","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-02-21T19:50:09Z","title_canon_sha256":"84d3aa60016e5d35fc8374223ed2b209eda8d3b4216af4ac5a996de21b9a3399"},"schema_version":"1.0","source":{"id":"2302.10966","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.10966","created_at":"2026-07-05T11:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"2302.10966v2","created_at":"2026-07-05T11:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.10966","created_at":"2026-07-05T11:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"NPBJV5QYBOQX","created_at":"2026-07-05T11:55:34Z"},{"alias_kind":"pith_short_16","alias_value":"NPBJV5QYBOQXWR2F","created_at":"2026-07-05T11:55:34Z"},{"alias_kind":"pith_short_8","alias_value":"NPBJV5QY","created_at":"2026-07-05T11:55:34Z"}],"graph_snapshots":[{"event_id":"sha256:a4c40542d7e013d96965eebc1fa1b1f10189f5a644b75901546fe0c97cc6ba29","target":"graph","created_at":"2026-07-05T11:55:34Z","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/2302.10966/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a simultaneous derivation of the Dirac bracket and of the equations of motion for second-class constrained systems when the constraints are time-dependent. The necessity of time-dependent gauge-fixing conditions is shown in the example of parameterized mechanics and is illustrated geometrically.","authors_text":"Nuno Barros e S\\'a","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-02-21T19:50:09Z","title":"Dirac bracket and time dependent constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.10966","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":"sha256:004363dccb3f6233ecd7f3775fa9734d8c534f2632f327ac286ffa3d2d85ab41","target":"record","created_at":"2026-07-05T11:55:34Z","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":"588152115492f60778460cf4f734f48494ed097ddf15deec36d3e54428ee1ef4","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-02-21T19:50:09Z","title_canon_sha256":"84d3aa60016e5d35fc8374223ed2b209eda8d3b4216af4ac5a996de21b9a3399"},"schema_version":"1.0","source":{"id":"2302.10966","kind":"arxiv","version":2}},"canonical_sha256":"6bc29af6180ba17b47450b4ba8d5158421acb40d364994ba80a57bfc1f1e4b2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bc29af6180ba17b47450b4ba8d5158421acb40d364994ba80a57bfc1f1e4b2f","first_computed_at":"2026-07-05T11:55:34.428640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:55:34.428640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YaceDiSEzQY/OM2jOIOMYpdjefkcQFoWIrWm71Vdv7G9KU6o3slOKpojW6rMJ1DSX1S6PwNqi4yEzYyWLKv/CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:55:34.429060Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.10966","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:004363dccb3f6233ecd7f3775fa9734d8c534f2632f327ac286ffa3d2d85ab41","sha256:a4c40542d7e013d96965eebc1fa1b1f10189f5a644b75901546fe0c97cc6ba29"],"state_sha256":"cf1cf12b1876975ef26894a5c962550322b778f29c02077af4c25fcefa02710e"}