{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:JSQBA5MYDUJFSWHDGP5Y5DR2YK","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":"1de17b626b91d1fc7adcc6a884a9ea48c2bd282358a3cdb80f8d41b49e318ee2","cross_cats_sorted":[],"license":"","primary_cat":"math.SG","submitted_at":"2003-09-05T16:05:53Z","title_canon_sha256":"180cec95542b7049b506397ca90873c0e0fcda63d91b2de995bd6ae2d0d73047"},"schema_version":"1.0","source":{"id":"math/0309099","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0309099","created_at":"2026-05-18T01:38:28Z"},{"alias_kind":"arxiv_version","alias_value":"math/0309099v1","created_at":"2026-05-18T01:38:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0309099","created_at":"2026-05-18T01:38:28Z"},{"alias_kind":"pith_short_12","alias_value":"JSQBA5MYDUJF","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"JSQBA5MYDUJFSWHD","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"JSQBA5MY","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:8385521072ff7bb3b4ba0605a4210d9aeb687c663228f69ac46e3f7569b7719e","target":"graph","created_at":"2026-05-18T01:38:28Z","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 two cocycle is associated to any action of a Lie group on a symplectic manifold. This allows to enlarge the concept of anomaly in classical dynamical systems considered by F. Toppan [in J. Nonlinear Math. Phys. 8, no.3 (2001) 518-533] so as to encompass some extensions of Lie algebras related to noncanonical actions.","authors_text":"Jorge E. Solomin, Marcela Zuccalli","cross_cats":[],"headline":"","license":"","primary_cat":"math.SG","submitted_at":"2003-09-05T16:05:53Z","title":"Noncentral extensions as anomalies in classical dynamical systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0309099","kind":"arxiv","version":1},"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":"sha256:4e2e426fdfa794b16f39e451b2bd5e4771932eed68b6bbd84dad52e2aad6741d","target":"record","created_at":"2026-05-18T01:38:28Z","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":"1de17b626b91d1fc7adcc6a884a9ea48c2bd282358a3cdb80f8d41b49e318ee2","cross_cats_sorted":[],"license":"","primary_cat":"math.SG","submitted_at":"2003-09-05T16:05:53Z","title_canon_sha256":"180cec95542b7049b506397ca90873c0e0fcda63d91b2de995bd6ae2d0d73047"},"schema_version":"1.0","source":{"id":"math/0309099","kind":"arxiv","version":1}},"canonical_sha256":"4ca01075981d125958e333fb8e8e3ac2864b3e72442650b3517c935ac655007d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ca01075981d125958e333fb8e8e3ac2864b3e72442650b3517c935ac655007d","first_computed_at":"2026-05-18T01:38:28.858342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:28.858342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FMHp2H0noURfwKrVSYrHl6h/96bVTVtCPLcPI2qOk+1riBF/tKMHg2RszaD0Sm2iLBdluoAHycUSWSfJlWtpBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:28.859437Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0309099","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e2e426fdfa794b16f39e451b2bd5e4771932eed68b6bbd84dad52e2aad6741d","sha256:8385521072ff7bb3b4ba0605a4210d9aeb687c663228f69ac46e3f7569b7719e"],"state_sha256":"d0227576873d49f80bd5945f8b662bcbf01a8e3b5b2d1063a77db624413967d4"}