{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KT2KDGOA7LXDOJ5MVNRP6LBU4G","short_pith_number":"pith:KT2KDGOA","schema_version":"1.0","canonical_sha256":"54f4a199c0faee3727acab62ff2c34e19774f23850f1a326f97db027920c30e9","source":{"kind":"arxiv","id":"1705.06169","version":2},"attestation_state":"computed","paper":{"title":"On Time-dependent Hamiltonian Realizations of Planar and Nonplanar Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"O\\u{g}ul Esen, Partha Guha","submitted_at":"2017-05-17T14:06:42Z","abstract_excerpt":"In this paper, we elucidate the key role played by the cosymplectic geometry in the theory of time dependent Hamiltonian systems. In particular, we generalize the cosymplectic structures to time-dependent Nambu-Poisson Hamiltonian systems and corresponding Jacobi's last multiplier for 3D systems. We illustrate our constructions with various examples."},"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":"1705.06169","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-17T14:06:42Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e2836ead4f6cf5aa829212b33076add73feb3a122a55da58fd5c64acccb1c9fd","abstract_canon_sha256":"af6f24758a9eb4fc2f1f7e3797bd666922f42e1012ce0d9fec823b5bf60f8014"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:13.878232Z","signature_b64":"vZ4xqX1MeSgOSdVzPoZox2SfCLXCxXG1deIo4vIHEmVxg6i2GWn2zyIgqEZBA4hl99OFVYx0Y6p/lWOLoLgPBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54f4a199c0faee3727acab62ff2c34e19774f23850f1a326f97db027920c30e9","last_reissued_at":"2026-05-18T00:21:13.877809Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:13.877809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Time-dependent Hamiltonian Realizations of Planar and Nonplanar Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"O\\u{g}ul Esen, Partha Guha","submitted_at":"2017-05-17T14:06:42Z","abstract_excerpt":"In this paper, we elucidate the key role played by the cosymplectic geometry in the theory of time dependent Hamiltonian systems. In particular, we generalize the cosymplectic structures to time-dependent Nambu-Poisson Hamiltonian systems and corresponding Jacobi's last multiplier for 3D systems. We illustrate our constructions with various examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06169","kind":"arxiv","version":2},"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":"1705.06169","created_at":"2026-05-18T00:21:13.877881+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.06169v2","created_at":"2026-05-18T00:21:13.877881+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06169","created_at":"2026-05-18T00:21:13.877881+00:00"},{"alias_kind":"pith_short_12","alias_value":"KT2KDGOA7LXD","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"KT2KDGOA7LXDOJ5M","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"KT2KDGOA","created_at":"2026-05-18T12:31:28.150371+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/KT2KDGOA7LXDOJ5MVNRP6LBU4G","json":"https://pith.science/pith/KT2KDGOA7LXDOJ5MVNRP6LBU4G.json","graph_json":"https://pith.science/api/pith-number/KT2KDGOA7LXDOJ5MVNRP6LBU4G/graph.json","events_json":"https://pith.science/api/pith-number/KT2KDGOA7LXDOJ5MVNRP6LBU4G/events.json","paper":"https://pith.science/paper/KT2KDGOA"},"agent_actions":{"view_html":"https://pith.science/pith/KT2KDGOA7LXDOJ5MVNRP6LBU4G","download_json":"https://pith.science/pith/KT2KDGOA7LXDOJ5MVNRP6LBU4G.json","view_paper":"https://pith.science/paper/KT2KDGOA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.06169&json=true","fetch_graph":"https://pith.science/api/pith-number/KT2KDGOA7LXDOJ5MVNRP6LBU4G/graph.json","fetch_events":"https://pith.science/api/pith-number/KT2KDGOA7LXDOJ5MVNRP6LBU4G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KT2KDGOA7LXDOJ5MVNRP6LBU4G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KT2KDGOA7LXDOJ5MVNRP6LBU4G/action/storage_attestation","attest_author":"https://pith.science/pith/KT2KDGOA7LXDOJ5MVNRP6LBU4G/action/author_attestation","sign_citation":"https://pith.science/pith/KT2KDGOA7LXDOJ5MVNRP6LBU4G/action/citation_signature","submit_replication":"https://pith.science/pith/KT2KDGOA7LXDOJ5MVNRP6LBU4G/action/replication_record"}},"created_at":"2026-05-18T00:21:13.877881+00:00","updated_at":"2026-05-18T00:21:13.877881+00:00"}