{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KS2LVFAVNMWCKPWQMSVCL4NPKD","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":"2a87a849f5cb97b84c27b1b7de17d9ef1d96c46f8c46bbd4c0248738436f30a5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-05-21T11:44:00Z","title_canon_sha256":"58edbc50438e0c58b9e1533cf4f7d3140f03a532fc80d7d69d106bf79a5f6759"},"schema_version":"1.0","source":{"id":"1005.3941","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.3941","created_at":"2026-05-18T02:33:25Z"},{"alias_kind":"arxiv_version","alias_value":"1005.3941v4","created_at":"2026-05-18T02:33:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.3941","created_at":"2026-05-18T02:33:25Z"},{"alias_kind":"pith_short_12","alias_value":"KS2LVFAVNMWC","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KS2LVFAVNMWCKPWQ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KS2LVFAV","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:b848d860e9895526049be6f66a8be0ffaea176d5c1c039165b59d94f97f939aa","target":"graph","created_at":"2026-05-18T02:33:25Z","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 alternative version of Hamiltonian formalism for higher-derivative theories is proposed. As compared with the standard Ostrogradski approach it has the following advantages: (i) the Lagrangian, when expressed in terms of new variables yields proper equations of motion; no additional Lagrange multipliers are necessary (ii) the Legendre transformation can be performed in a straightforward way provided the Lagrangian is nonsingular in Ostrogradski sense. The generalization to singular Lagrangians as well as field theory are presented.","authors_text":"Joanna Gonera, Krzysztof Andrzejewski, Pawel Maslanka, Piotr Machalski","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-05-21T11:44:00Z","title":"Modified Hamiltonian formalism for higher-derivative theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.3941","kind":"arxiv","version":4},"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:aab8d040fe17e6c61c8052117859e26b6aac995da994321f80b98e32f1c8d89d","target":"record","created_at":"2026-05-18T02:33:25Z","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":"2a87a849f5cb97b84c27b1b7de17d9ef1d96c46f8c46bbd4c0248738436f30a5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-05-21T11:44:00Z","title_canon_sha256":"58edbc50438e0c58b9e1533cf4f7d3140f03a532fc80d7d69d106bf79a5f6759"},"schema_version":"1.0","source":{"id":"1005.3941","kind":"arxiv","version":4}},"canonical_sha256":"54b4ba94156b2c253ed064aa25f1af50e6f978631d7a7a47bae960f64447aa8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54b4ba94156b2c253ed064aa25f1af50e6f978631d7a7a47bae960f64447aa8e","first_computed_at":"2026-05-18T02:33:25.852448Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:25.852448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k/e38L9KSZAr6R6jCZ/BFOdgCAHCMdqxFz04NmWehfX7iTQcRN+X2aj7lVYglB1WpSBDXbohpHf4vwe/d4LhCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:25.852773Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.3941","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aab8d040fe17e6c61c8052117859e26b6aac995da994321f80b98e32f1c8d89d","sha256:b848d860e9895526049be6f66a8be0ffaea176d5c1c039165b59d94f97f939aa"],"state_sha256":"604be0ed2f52b7e7601f1484191401a5b6965e71d9de0eb3dfc3a0f301e85d3e"}