{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:BBJSIW3TPJL2WV5DNGKSHB64DW","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":"968cee3aad1633fb7fa466998e3da56ca880a00c1c25cea9e4bafea5b0dff38b","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"nlin.SI","submitted_at":"2003-03-07T14:03:39Z","title_canon_sha256":"6cbcc684e8478affe9191e6aa5a02db3f26b860c2f3fef743ea318f0c3c9df94"},"schema_version":"1.0","source":{"id":"nlin/0303014","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0303014","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0303014v3","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0303014","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"pith_short_12","alias_value":"BBJSIW3TPJL2","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"BBJSIW3TPJL2WV5D","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"BBJSIW3T","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:8f91478c6e6b4f6e7bbe975336a19978b10d2807e32bbdaa4008e61eb811e2e7","target":"graph","created_at":"2026-05-18T01:38:19Z","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":"The procedure of Dirac reduction of Poisson operators on submanifolds is discussed within a particularly useful special realization of the general Marsden-Ratiu reduction procedure. The Dirac classification of constraints on 'first-class' constraints and 'second-class' constraints is reexamined.","authors_text":"Krzysztof Marciniak, Maciej Blaszak","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2003-03-07T14:03:39Z","title":"Dirac reduction revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0303014","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":"sha256:2ca55a027ebd43614fdc604db9511a3600490e801a203f3c5ae0f2d50aeec269","target":"record","created_at":"2026-05-18T01:38:19Z","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":"968cee3aad1633fb7fa466998e3da56ca880a00c1c25cea9e4bafea5b0dff38b","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"nlin.SI","submitted_at":"2003-03-07T14:03:39Z","title_canon_sha256":"6cbcc684e8478affe9191e6aa5a02db3f26b860c2f3fef743ea318f0c3c9df94"},"schema_version":"1.0","source":{"id":"nlin/0303014","kind":"arxiv","version":3}},"canonical_sha256":"0853245b737a57ab57a369952387dc1d9c490e239bc415a70e4a1baf86686460","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0853245b737a57ab57a369952387dc1d9c490e239bc415a70e4a1baf86686460","first_computed_at":"2026-05-18T01:38:19.482890Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:19.482890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/GZRBPHpRtZJChHsiboEWV2DYIYCnrcUV6N289bNUiC0YgIigpP2hkWair0aCVFe140X+Jzp+hDWb5fcr3QAAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:19.483593Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0303014","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ca55a027ebd43614fdc604db9511a3600490e801a203f3c5ae0f2d50aeec269","sha256:8f91478c6e6b4f6e7bbe975336a19978b10d2807e32bbdaa4008e61eb811e2e7"],"state_sha256":"99cac5329f65fd00914998823099fad99086984e3d19f6040f044408d3979386"}