{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:KGZRL2ORUEIJSVRSBVFCVCWX47","short_pith_number":"pith:KGZRL2OR","schema_version":"1.0","canonical_sha256":"51b315e9d1a1109956320d4a2a8ad7e7cef44dde1f53e84043701868b980fd55","source":{"kind":"arxiv","id":"2509.12641","version":5},"attestation_state":"computed","paper":{"title":"Applications of Nambu Non-equilibrium Thermodynamics to Specific Phenomena","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Akio Sugamoto, So Katagiri, Yoshiki Matsuoka","submitted_at":"2025-09-16T03:57:31Z","abstract_excerpt":"We apply Nambu non-equilibrium thermodynamics (NNET)-a dynamics with multiple Hamiltonians coupled to entropy-induced dissipation-to paradigmatic far-from-equilibrium systems. Concretely, we construct NNET realizations for the Belousov-Zhabotinsky (BZ) reaction (oscillatory), the Hindmarsh-Rose neuron model (spiking), and the Lorenz and Chen systems (chaotic), and analyze their dynamical and thermodynamic signatures. Across all cases the velocity field cleanly decomposes into a reversible Nambu part and an irreversible entropygradient part, anchored by a model-independent quasi-conserved quant"},"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":"2509.12641","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-09-16T03:57:31Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8ae173aea41c9de460c54da41c6761aafe3a6225eaaf20e10c3fd3d556af4731","abstract_canon_sha256":"1b920e6f47567dd20fd2d18d65d69093b29a1bd8162593f0884e3b70c2653141"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:09:50.973987Z","signature_b64":"t6cimcWR1qKwObvO7ZKiQaQGkiSc6LBW0ewY5aCmOqeyFEAVwR2iToYF4XY8CWaFAagh0lVvLSER1qcO6y9wBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51b315e9d1a1109956320d4a2a8ad7e7cef44dde1f53e84043701868b980fd55","last_reissued_at":"2026-06-19T16:09:50.973563Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:09:50.973563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Applications of Nambu Non-equilibrium Thermodynamics to Specific Phenomena","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Akio Sugamoto, So Katagiri, Yoshiki Matsuoka","submitted_at":"2025-09-16T03:57:31Z","abstract_excerpt":"We apply Nambu non-equilibrium thermodynamics (NNET)-a dynamics with multiple Hamiltonians coupled to entropy-induced dissipation-to paradigmatic far-from-equilibrium systems. Concretely, we construct NNET realizations for the Belousov-Zhabotinsky (BZ) reaction (oscillatory), the Hindmarsh-Rose neuron model (spiking), and the Lorenz and Chen systems (chaotic), and analyze their dynamical and thermodynamic signatures. Across all cases the velocity field cleanly decomposes into a reversible Nambu part and an irreversible entropygradient part, anchored by a model-independent quasi-conserved quant"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.12641","kind":"arxiv","version":5},"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/2509.12641/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":"2509.12641","created_at":"2026-06-19T16:09:50.973621+00:00"},{"alias_kind":"arxiv_version","alias_value":"2509.12641v5","created_at":"2026-06-19T16:09:50.973621+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.12641","created_at":"2026-06-19T16:09:50.973621+00:00"},{"alias_kind":"pith_short_12","alias_value":"KGZRL2ORUEIJ","created_at":"2026-06-19T16:09:50.973621+00:00"},{"alias_kind":"pith_short_16","alias_value":"KGZRL2ORUEIJSVRS","created_at":"2026-06-19T16:09:50.973621+00:00"},{"alias_kind":"pith_short_8","alias_value":"KGZRL2OR","created_at":"2026-06-19T16:09:50.973621+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2508.00207","citing_title":"Nambu Non-equilibrium Thermodynamics: Axiomatic Formulation and Foundation","ref_index":12,"is_internal_anchor":true},{"citing_arxiv_id":"2508.19455","citing_title":"Reduction of Complex Dynamics in Far-from-equilibrium Systems: Nambu Non-equilibrium Thermodynamics","ref_index":9,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KGZRL2ORUEIJSVRSBVFCVCWX47","json":"https://pith.science/pith/KGZRL2ORUEIJSVRSBVFCVCWX47.json","graph_json":"https://pith.science/api/pith-number/KGZRL2ORUEIJSVRSBVFCVCWX47/graph.json","events_json":"https://pith.science/api/pith-number/KGZRL2ORUEIJSVRSBVFCVCWX47/events.json","paper":"https://pith.science/paper/KGZRL2OR"},"agent_actions":{"view_html":"https://pith.science/pith/KGZRL2ORUEIJSVRSBVFCVCWX47","download_json":"https://pith.science/pith/KGZRL2ORUEIJSVRSBVFCVCWX47.json","view_paper":"https://pith.science/paper/KGZRL2OR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2509.12641&json=true","fetch_graph":"https://pith.science/api/pith-number/KGZRL2ORUEIJSVRSBVFCVCWX47/graph.json","fetch_events":"https://pith.science/api/pith-number/KGZRL2ORUEIJSVRSBVFCVCWX47/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KGZRL2ORUEIJSVRSBVFCVCWX47/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KGZRL2ORUEIJSVRSBVFCVCWX47/action/storage_attestation","attest_author":"https://pith.science/pith/KGZRL2ORUEIJSVRSBVFCVCWX47/action/author_attestation","sign_citation":"https://pith.science/pith/KGZRL2ORUEIJSVRSBVFCVCWX47/action/citation_signature","submit_replication":"https://pith.science/pith/KGZRL2ORUEIJSVRSBVFCVCWX47/action/replication_record"}},"created_at":"2026-06-19T16:09:50.973621+00:00","updated_at":"2026-06-19T16:09:50.973621+00:00"}