{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:VUN6PLW7AMAWJSZE6YB7SJRAOH","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":"aa23b8788b90c2e34c07c7c410b73a3d2db3faf9294a82289115b787c3f0927f","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2006-03-01T11:53:12Z","title_canon_sha256":"a0f08255f6a1ab5cbdcfbc347ab7d8bef4aa52a0b5d855d6506f037ceb4be71e"},"schema_version":"1.0","source":{"id":"math-ph/0603005","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0603005","created_at":"2026-05-18T01:24:22Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0603005v1","created_at":"2026-05-18T01:24:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0603005","created_at":"2026-05-18T01:24:22Z"},{"alias_kind":"pith_short_12","alias_value":"VUN6PLW7AMAW","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"VUN6PLW7AMAWJSZE","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"VUN6PLW7","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:c17568ab9c2ba8f1bdd80a72a4b32f84d0a9e4a5dc8cf6f9b473e7e8fa4c6c5e","target":"graph","created_at":"2026-05-18T01:24:22Z","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":"Some subjects related to the geometric theory of singular dynamical systems are reviewed in this paper. In particular, the following two matters are considered: the theory of canonical transformations for presymplectic Hamiltonian systems, and the Lagrangian and Hamiltonian constraint algorithms and the time-evolution operator.","authors_text":"Narciso Roman-Roy","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2006-03-01T11:53:12Z","title":"Some topics concerning the theory of singular dynamical systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0603005","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":"sha256:61b15023120544b2df7d4e803ed21f1c2a18896ce352224c32e63e98d929f5a8","target":"record","created_at":"2026-05-18T01:24:22Z","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":"aa23b8788b90c2e34c07c7c410b73a3d2db3faf9294a82289115b787c3f0927f","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2006-03-01T11:53:12Z","title_canon_sha256":"a0f08255f6a1ab5cbdcfbc347ab7d8bef4aa52a0b5d855d6506f037ceb4be71e"},"schema_version":"1.0","source":{"id":"math-ph/0603005","kind":"arxiv","version":1}},"canonical_sha256":"ad1be7aedf030164cb24f603f9262071fae3341cd2bfed5ea3d3d5418bc5dc63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad1be7aedf030164cb24f603f9262071fae3341cd2bfed5ea3d3d5418bc5dc63","first_computed_at":"2026-05-18T01:24:22.006247Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:22.006247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LtY9JkPrdeTfpcffkSMU6slftlJUj5RG+AUjwOTHevkOuXOKdjXcLLmarO07qwSs0/r8+Y1lpuw5zIyk780DBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:22.006814Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0603005","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61b15023120544b2df7d4e803ed21f1c2a18896ce352224c32e63e98d929f5a8","sha256:c17568ab9c2ba8f1bdd80a72a4b32f84d0a9e4a5dc8cf6f9b473e7e8fa4c6c5e"],"state_sha256":"2df7353cb1c116b0a43526034ad4de342f52fa8f0c661cc02214078a54b718a4"}