{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:4LSVMRHU5GDZYQO4LO3BUA4ZKW","short_pith_number":"pith:4LSVMRHU","schema_version":"1.0","canonical_sha256":"e2e55644f4e9879c41dc5bb61a039955ad5451363a7e558048bcc0d8f6de1f4f","source":{"kind":"arxiv","id":"2507.18658","version":1},"attestation_state":"computed","paper":{"title":"Hamiltonian treatment of non-conservative systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.class-ph","authors_text":"Adrien Bourgoin, Christophe Le Poncin-lafitte, Christopher Aykroyd","submitted_at":"2025-07-23T15:18:20Z","abstract_excerpt":"We present a novel extension of Hamiltonian mechanics to nonconservative systems built upon the Schwinger-Keldysh-Galley double-variable action principle. Departing from Galley's initial-value action, we clarify important subtleties regarding boundary conditions, the emergence of the physical-limit trajectory, and the decomposition of the Lagrangian into conservative and dissipative sectors. Importantly, we demonstrate that the redundant doubled configuration space admits a gauge freedom at the level of the canonical momenta that leaves the physical dynamics unchanged. From a Legendre transfor"},"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":"2507.18658","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2025-07-23T15:18:20Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"3eab0a11486ead9f7f84d30139464c13db29fed14c49979ad22c203fa922841c","abstract_canon_sha256":"e614f6c6d511a20f96f85ee800b0b6add45e89c5d18cbee3b7deb775f686a779"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:42:56.024701Z","signature_b64":"yD1oKuyxC5kRPDYqpsymYHzpXJkfu/8Li1Tfh3P79KcfBFrW9ioEMnWRYD+/ZmPpcjnvcMglYa6WD5ySlrBvDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2e55644f4e9879c41dc5bb61a039955ad5451363a7e558048bcc0d8f6de1f4f","last_reissued_at":"2026-07-05T11:42:56.024176Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:42:56.024176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hamiltonian treatment of non-conservative systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.class-ph","authors_text":"Adrien Bourgoin, Christophe Le Poncin-lafitte, Christopher Aykroyd","submitted_at":"2025-07-23T15:18:20Z","abstract_excerpt":"We present a novel extension of Hamiltonian mechanics to nonconservative systems built upon the Schwinger-Keldysh-Galley double-variable action principle. Departing from Galley's initial-value action, we clarify important subtleties regarding boundary conditions, the emergence of the physical-limit trajectory, and the decomposition of the Lagrangian into conservative and dissipative sectors. Importantly, we demonstrate that the redundant doubled configuration space admits a gauge freedom at the level of the canonical momenta that leaves the physical dynamics unchanged. From a Legendre transfor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.18658","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.18658/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2507.18658","created_at":"2026-07-05T11:42:56.024231+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.18658v1","created_at":"2026-07-05T11:42:56.024231+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.18658","created_at":"2026-07-05T11:42:56.024231+00:00"},{"alias_kind":"pith_short_12","alias_value":"4LSVMRHU5GDZ","created_at":"2026-07-05T11:42:56.024231+00:00"},{"alias_kind":"pith_short_16","alias_value":"4LSVMRHU5GDZYQO4","created_at":"2026-07-05T11:42:56.024231+00:00"},{"alias_kind":"pith_short_8","alias_value":"4LSVMRHU","created_at":"2026-07-05T11:42:56.024231+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.01403","citing_title":"First Principles Quantization of a Non-Conservative Scalar Field","ref_index":39,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4LSVMRHU5GDZYQO4LO3BUA4ZKW","json":"https://pith.science/pith/4LSVMRHU5GDZYQO4LO3BUA4ZKW.json","graph_json":"https://pith.science/api/pith-number/4LSVMRHU5GDZYQO4LO3BUA4ZKW/graph.json","events_json":"https://pith.science/api/pith-number/4LSVMRHU5GDZYQO4LO3BUA4ZKW/events.json","paper":"https://pith.science/paper/4LSVMRHU"},"agent_actions":{"view_html":"https://pith.science/pith/4LSVMRHU5GDZYQO4LO3BUA4ZKW","download_json":"https://pith.science/pith/4LSVMRHU5GDZYQO4LO3BUA4ZKW.json","view_paper":"https://pith.science/paper/4LSVMRHU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.18658&json=true","fetch_graph":"https://pith.science/api/pith-number/4LSVMRHU5GDZYQO4LO3BUA4ZKW/graph.json","fetch_events":"https://pith.science/api/pith-number/4LSVMRHU5GDZYQO4LO3BUA4ZKW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4LSVMRHU5GDZYQO4LO3BUA4ZKW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4LSVMRHU5GDZYQO4LO3BUA4ZKW/action/storage_attestation","attest_author":"https://pith.science/pith/4LSVMRHU5GDZYQO4LO3BUA4ZKW/action/author_attestation","sign_citation":"https://pith.science/pith/4LSVMRHU5GDZYQO4LO3BUA4ZKW/action/citation_signature","submit_replication":"https://pith.science/pith/4LSVMRHU5GDZYQO4LO3BUA4ZKW/action/replication_record"}},"created_at":"2026-07-05T11:42:56.024231+00:00","updated_at":"2026-07-05T11:42:56.024231+00:00"}