{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:CBEJUXVLIRIW4C3XSEWGU57JXR","short_pith_number":"pith:CBEJUXVL","schema_version":"1.0","canonical_sha256":"10489a5eab44516e0b77912c6a77e9bc4521d619a808182ab57440ea56609c2d","source":{"kind":"arxiv","id":"1408.4736","version":1},"attestation_state":"computed","paper":{"title":"Constants of motion associated with alternative Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.class-ph","authors_text":"Gerardo F. Torres del Castillo","submitted_at":"2014-08-20T17:33:13Z","abstract_excerpt":"It is shown that if a non-autonomous system of $2n$ first-order ordinary differential equations is expressed in the form of the Hamilton equations in terms of two different sets of coordinates, $(q_{i}, p_{i})$ and $(Q_{i}, P_{i})$, then the determinant and the trace of any power of a certain matrix formed by the Poisson brackets of the $Q_{i}, P_{i}$ with respect to $q_{i}, p_{i}$, are constants of motion."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1408.4736","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2014-08-20T17:33:13Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"fd30bbe2ef2b69799c81db965937aafebecf5e085c7c9e553046294b8785c1ea","abstract_canon_sha256":"0873d068c137829d1c79df684210f54fbacce2e37068d62af42c8d6af7ccd7bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:48.206169Z","signature_b64":"GlrJxcOs/S/oIRlsAPi8YMBmat6KghQ5m+gh8/Cew6SQF4iOcpn3wh6g2Ceu97xEKClFhQf2geHdDavspEVVAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10489a5eab44516e0b77912c6a77e9bc4521d619a808182ab57440ea56609c2d","last_reissued_at":"2026-05-18T02:44:48.205726Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:48.205726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constants of motion associated with alternative Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.class-ph","authors_text":"Gerardo F. Torres del Castillo","submitted_at":"2014-08-20T17:33:13Z","abstract_excerpt":"It is shown that if a non-autonomous system of $2n$ first-order ordinary differential equations is expressed in the form of the Hamilton equations in terms of two different sets of coordinates, $(q_{i}, p_{i})$ and $(Q_{i}, P_{i})$, then the determinant and the trace of any power of a certain matrix formed by the Poisson brackets of the $Q_{i}, P_{i}$ with respect to $q_{i}, p_{i}$, are constants of motion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4736","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1408.4736","created_at":"2026-05-18T02:44:48.205795+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.4736v1","created_at":"2026-05-18T02:44:48.205795+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.4736","created_at":"2026-05-18T02:44:48.205795+00:00"},{"alias_kind":"pith_short_12","alias_value":"CBEJUXVLIRIW","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"CBEJUXVLIRIW4C3X","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"CBEJUXVL","created_at":"2026-05-18T12:28:22.404517+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CBEJUXVLIRIW4C3XSEWGU57JXR","json":"https://pith.science/pith/CBEJUXVLIRIW4C3XSEWGU57JXR.json","graph_json":"https://pith.science/api/pith-number/CBEJUXVLIRIW4C3XSEWGU57JXR/graph.json","events_json":"https://pith.science/api/pith-number/CBEJUXVLIRIW4C3XSEWGU57JXR/events.json","paper":"https://pith.science/paper/CBEJUXVL"},"agent_actions":{"view_html":"https://pith.science/pith/CBEJUXVLIRIW4C3XSEWGU57JXR","download_json":"https://pith.science/pith/CBEJUXVLIRIW4C3XSEWGU57JXR.json","view_paper":"https://pith.science/paper/CBEJUXVL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.4736&json=true","fetch_graph":"https://pith.science/api/pith-number/CBEJUXVLIRIW4C3XSEWGU57JXR/graph.json","fetch_events":"https://pith.science/api/pith-number/CBEJUXVLIRIW4C3XSEWGU57JXR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CBEJUXVLIRIW4C3XSEWGU57JXR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CBEJUXVLIRIW4C3XSEWGU57JXR/action/storage_attestation","attest_author":"https://pith.science/pith/CBEJUXVLIRIW4C3XSEWGU57JXR/action/author_attestation","sign_citation":"https://pith.science/pith/CBEJUXVLIRIW4C3XSEWGU57JXR/action/citation_signature","submit_replication":"https://pith.science/pith/CBEJUXVLIRIW4C3XSEWGU57JXR/action/replication_record"}},"created_at":"2026-05-18T02:44:48.205795+00:00","updated_at":"2026-05-18T02:44:48.205795+00:00"}