{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:CPIYHFK4LBC4W4OHMK3OIAIKYD","short_pith_number":"pith:CPIYHFK4","schema_version":"1.0","canonical_sha256":"13d183955c5845cb71c762b6e4010ac0dfe6fbe5de342aba0304ea6a22f17b3e","source":{"kind":"arxiv","id":"1405.0697","version":2},"attestation_state":"computed","paper":{"title":"Exact equalities and thermodynamic relations for nonequilibrium steady states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hal Tasaki, Naoko Nakagawa, Shin-ichi Sasa, Teruhisa S. Komatsu","submitted_at":"2014-05-04T13:48:50Z","abstract_excerpt":"We study thermodynamic operations which bring a nonequilibrium steady state (NESS) to another NESS in physical systems under nonequilibrium conditions. We model the system by a suitable Markov jump process, and treat thermodynamic operations as protocols according to which the external agent varies parameters of the Markov process. Then we prove, among other relations, a NESS version of the Jarzynski equality and the extended Clausius relation. The latter can be a starting point of thermodynamics for NESS. We also find that the corresponding nonequilibrium entropy has a microscopic representat"},"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":"1405.0697","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-05-04T13:48:50Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b96d9b96eb43351f6d83b0e46e1681559355c16dbe5112dee48ece7fb407c506","abstract_canon_sha256":"4e9ab0433fc7998bbd6a36195dcd40f3a859fe97195c281f472360dcfa084087"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:10.570696Z","signature_b64":"4hAiKJM4gLCo5LnEZkqamWdAlQ87V08lihOS6LCjvPLYTiTr5scRl/D0WnRhnTZ/7yjBuRURAGSctHNxog0DCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13d183955c5845cb71c762b6e4010ac0dfe6fbe5de342aba0304ea6a22f17b3e","last_reissued_at":"2026-05-18T00:09:10.570120Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:10.570120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact equalities and thermodynamic relations for nonequilibrium steady states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hal Tasaki, Naoko Nakagawa, Shin-ichi Sasa, Teruhisa S. Komatsu","submitted_at":"2014-05-04T13:48:50Z","abstract_excerpt":"We study thermodynamic operations which bring a nonequilibrium steady state (NESS) to another NESS in physical systems under nonequilibrium conditions. We model the system by a suitable Markov jump process, and treat thermodynamic operations as protocols according to which the external agent varies parameters of the Markov process. Then we prove, among other relations, a NESS version of the Jarzynski equality and the extended Clausius relation. The latter can be a starting point of thermodynamics for NESS. We also find that the corresponding nonequilibrium entropy has a microscopic representat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0697","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":"1405.0697","created_at":"2026-05-18T00:09:10.570217+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.0697v2","created_at":"2026-05-18T00:09:10.570217+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0697","created_at":"2026-05-18T00:09:10.570217+00:00"},{"alias_kind":"pith_short_12","alias_value":"CPIYHFK4LBC4","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"CPIYHFK4LBC4W4OH","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"CPIYHFK4","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/CPIYHFK4LBC4W4OHMK3OIAIKYD","json":"https://pith.science/pith/CPIYHFK4LBC4W4OHMK3OIAIKYD.json","graph_json":"https://pith.science/api/pith-number/CPIYHFK4LBC4W4OHMK3OIAIKYD/graph.json","events_json":"https://pith.science/api/pith-number/CPIYHFK4LBC4W4OHMK3OIAIKYD/events.json","paper":"https://pith.science/paper/CPIYHFK4"},"agent_actions":{"view_html":"https://pith.science/pith/CPIYHFK4LBC4W4OHMK3OIAIKYD","download_json":"https://pith.science/pith/CPIYHFK4LBC4W4OHMK3OIAIKYD.json","view_paper":"https://pith.science/paper/CPIYHFK4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.0697&json=true","fetch_graph":"https://pith.science/api/pith-number/CPIYHFK4LBC4W4OHMK3OIAIKYD/graph.json","fetch_events":"https://pith.science/api/pith-number/CPIYHFK4LBC4W4OHMK3OIAIKYD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CPIYHFK4LBC4W4OHMK3OIAIKYD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CPIYHFK4LBC4W4OHMK3OIAIKYD/action/storage_attestation","attest_author":"https://pith.science/pith/CPIYHFK4LBC4W4OHMK3OIAIKYD/action/author_attestation","sign_citation":"https://pith.science/pith/CPIYHFK4LBC4W4OHMK3OIAIKYD/action/citation_signature","submit_replication":"https://pith.science/pith/CPIYHFK4LBC4W4OHMK3OIAIKYD/action/replication_record"}},"created_at":"2026-05-18T00:09:10.570217+00:00","updated_at":"2026-05-18T00:09:10.570217+00:00"}