{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:3ZPXHMWS6XUVR5SUG7VRHTECCY","short_pith_number":"pith:3ZPXHMWS","schema_version":"1.0","canonical_sha256":"de5f73b2d2f5e958f65437eb13cc82163924a87f8efc0377213b53b13f543040","source":{"kind":"arxiv","id":"2011.10468","version":2},"attestation_state":"computed","paper":{"title":"Nonequilibrium Quantum Free Energy and Effective Temperature, Generating Functional and Influence Action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"B. L. Hu, Jen-Tsung Hsiang","submitted_at":"2020-11-20T16:01:11Z","abstract_excerpt":"A definition of nonequilibrium free energy $\\mathcal{F}_{\\textsc{s}}$ is proposed for dynamical Gaussian quantum open systems strongly coupled to a heat bath and a formal derivation is provided by way of the generating functional in terms of the coarse-grained effective action and the influence action. For Gaussian open quantum systems exemplified by the quantum Brownian motion model studied here, a time-varying effective temperature can be introduced in a natural way, and with it, the nonequilibrium free energy $\\mathcal{F}_{\\textsc{s}}$, von Neumann entropy $\\mathcal{S}_{vN}$ and internal en"},"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":"2011.10468","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-11-20T16:01:11Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"a3af4489be08e809e82e6b582566607fec2ac3e1257f1dc378b4d5fbb5403c37","abstract_canon_sha256":"b30b8a58e5bf4e4fd05ec6c9eeb6d4e350e7883783f8e30fb4cc3c5d29c39730"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:21:38.944897Z","signature_b64":"99B90rawwiuYmcLSp1XEBHHGmwl7a4GDPuk1IqdZW5Ci/41Zl0Ke0/cAW8/ojvZZSVKZBvC0/5pBv8Psx64XBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de5f73b2d2f5e958f65437eb13cc82163924a87f8efc0377213b53b13f543040","last_reissued_at":"2026-07-05T02:21:38.944524Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:21:38.944524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonequilibrium Quantum Free Energy and Effective Temperature, Generating Functional and Influence Action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"B. L. Hu, Jen-Tsung Hsiang","submitted_at":"2020-11-20T16:01:11Z","abstract_excerpt":"A definition of nonequilibrium free energy $\\mathcal{F}_{\\textsc{s}}$ is proposed for dynamical Gaussian quantum open systems strongly coupled to a heat bath and a formal derivation is provided by way of the generating functional in terms of the coarse-grained effective action and the influence action. For Gaussian open quantum systems exemplified by the quantum Brownian motion model studied here, a time-varying effective temperature can be introduced in a natural way, and with it, the nonequilibrium free energy $\\mathcal{F}_{\\textsc{s}}$, von Neumann entropy $\\mathcal{S}_{vN}$ and internal en"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.10468","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2011.10468/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":"2011.10468","created_at":"2026-07-05T02:21:38.944579+00:00"},{"alias_kind":"arxiv_version","alias_value":"2011.10468v2","created_at":"2026-07-05T02:21:38.944579+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.10468","created_at":"2026-07-05T02:21:38.944579+00:00"},{"alias_kind":"pith_short_12","alias_value":"3ZPXHMWS6XUV","created_at":"2026-07-05T02:21:38.944579+00:00"},{"alias_kind":"pith_short_16","alias_value":"3ZPXHMWS6XUVR5SU","created_at":"2026-07-05T02:21:38.944579+00:00"},{"alias_kind":"pith_short_8","alias_value":"3ZPXHMWS","created_at":"2026-07-05T02:21:38.944579+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/3ZPXHMWS6XUVR5SUG7VRHTECCY","json":"https://pith.science/pith/3ZPXHMWS6XUVR5SUG7VRHTECCY.json","graph_json":"https://pith.science/api/pith-number/3ZPXHMWS6XUVR5SUG7VRHTECCY/graph.json","events_json":"https://pith.science/api/pith-number/3ZPXHMWS6XUVR5SUG7VRHTECCY/events.json","paper":"https://pith.science/paper/3ZPXHMWS"},"agent_actions":{"view_html":"https://pith.science/pith/3ZPXHMWS6XUVR5SUG7VRHTECCY","download_json":"https://pith.science/pith/3ZPXHMWS6XUVR5SUG7VRHTECCY.json","view_paper":"https://pith.science/paper/3ZPXHMWS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2011.10468&json=true","fetch_graph":"https://pith.science/api/pith-number/3ZPXHMWS6XUVR5SUG7VRHTECCY/graph.json","fetch_events":"https://pith.science/api/pith-number/3ZPXHMWS6XUVR5SUG7VRHTECCY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3ZPXHMWS6XUVR5SUG7VRHTECCY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3ZPXHMWS6XUVR5SUG7VRHTECCY/action/storage_attestation","attest_author":"https://pith.science/pith/3ZPXHMWS6XUVR5SUG7VRHTECCY/action/author_attestation","sign_citation":"https://pith.science/pith/3ZPXHMWS6XUVR5SUG7VRHTECCY/action/citation_signature","submit_replication":"https://pith.science/pith/3ZPXHMWS6XUVR5SUG7VRHTECCY/action/replication_record"}},"created_at":"2026-07-05T02:21:38.944579+00:00","updated_at":"2026-07-05T02:21:38.944579+00:00"}