{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:WFGONODS7QCQS7IPIMJ6RPG3PJ","short_pith_number":"pith:WFGONODS","schema_version":"1.0","canonical_sha256":"b14ce6b872fc05097d0f4313e8bcdb7a73fff339327cc830ba5beca2c0ab9e46","source":{"kind":"arxiv","id":"2606.24919","version":1},"attestation_state":"computed","paper":{"title":"A Gauge-Theoretic Formulation of Nambu Non-equilibrium Thermodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"So Katagiri","submitted_at":"2026-06-20T03:01:46Z","abstract_excerpt":"We present a gauge-theoretic formulation of Nambu non-equilibrium thermodynamics (NNET).\n  In this framework, the thermodynamic potential $A_{i}=\\partial_{i}S$ plays the role of a gauge field: the reversible thermodynamics corresponds to the pure-gauge condition $F=dA=0$, while the irreversible entropy production arises from the emergence of curvature $F\\neq0$. The gauge-fixing term, $A_{0}=\\frac{1}{2}L^{ij}A_{i}A_{j}$ leads to Onsager's variational principle, whereas the Chern--Simons--like term $A\\wedge B\\wedge dt,\\ B=dH_{1}\\wedge dH_{2},$ naturally yields the framework of NNET.\n  This formu"},"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":"2606.24919","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-20T03:01:46Z","cross_cats_sorted":[],"title_canon_sha256":"26be1615379d1580d831f948940565c458978aaa47dec0d9fa943877af193d6d","abstract_canon_sha256":"b905cc8245700f4d962b8353396f502365e6190c17348ee8d302c8dca6d64938"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-25T00:17:46.041073Z","signature_b64":"ZQh0MBCA8w8oy3ZuhsiuX5NcuBeBJIc3sDmtdxvdFTxWaz8pACVoAumqRCndyO9DCSYotaMlSt9O5aOkCMhLBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b14ce6b872fc05097d0f4313e8bcdb7a73fff339327cc830ba5beca2c0ab9e46","last_reissued_at":"2026-06-25T00:17:46.040568Z","signature_status":"signed_v1","first_computed_at":"2026-06-25T00:17:46.040568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Gauge-Theoretic Formulation of Nambu Non-equilibrium Thermodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"So Katagiri","submitted_at":"2026-06-20T03:01:46Z","abstract_excerpt":"We present a gauge-theoretic formulation of Nambu non-equilibrium thermodynamics (NNET).\n  In this framework, the thermodynamic potential $A_{i}=\\partial_{i}S$ plays the role of a gauge field: the reversible thermodynamics corresponds to the pure-gauge condition $F=dA=0$, while the irreversible entropy production arises from the emergence of curvature $F\\neq0$. The gauge-fixing term, $A_{0}=\\frac{1}{2}L^{ij}A_{i}A_{j}$ leads to Onsager's variational principle, whereas the Chern--Simons--like term $A\\wedge B\\wedge dt,\\ B=dH_{1}\\wedge dH_{2},$ naturally yields the framework of NNET.\n  This formu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24919","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/2606.24919/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":"2606.24919","created_at":"2026-06-25T00:17:46.040629+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.24919v1","created_at":"2026-06-25T00:17:46.040629+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24919","created_at":"2026-06-25T00:17:46.040629+00:00"},{"alias_kind":"pith_short_12","alias_value":"WFGONODS7QCQ","created_at":"2026-06-25T00:17:46.040629+00:00"},{"alias_kind":"pith_short_16","alias_value":"WFGONODS7QCQS7IP","created_at":"2026-06-25T00:17:46.040629+00:00"},{"alias_kind":"pith_short_8","alias_value":"WFGONODS","created_at":"2026-06-25T00:17:46.040629+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/WFGONODS7QCQS7IPIMJ6RPG3PJ","json":"https://pith.science/pith/WFGONODS7QCQS7IPIMJ6RPG3PJ.json","graph_json":"https://pith.science/api/pith-number/WFGONODS7QCQS7IPIMJ6RPG3PJ/graph.json","events_json":"https://pith.science/api/pith-number/WFGONODS7QCQS7IPIMJ6RPG3PJ/events.json","paper":"https://pith.science/paper/WFGONODS"},"agent_actions":{"view_html":"https://pith.science/pith/WFGONODS7QCQS7IPIMJ6RPG3PJ","download_json":"https://pith.science/pith/WFGONODS7QCQS7IPIMJ6RPG3PJ.json","view_paper":"https://pith.science/paper/WFGONODS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.24919&json=true","fetch_graph":"https://pith.science/api/pith-number/WFGONODS7QCQS7IPIMJ6RPG3PJ/graph.json","fetch_events":"https://pith.science/api/pith-number/WFGONODS7QCQS7IPIMJ6RPG3PJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WFGONODS7QCQS7IPIMJ6RPG3PJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WFGONODS7QCQS7IPIMJ6RPG3PJ/action/storage_attestation","attest_author":"https://pith.science/pith/WFGONODS7QCQS7IPIMJ6RPG3PJ/action/author_attestation","sign_citation":"https://pith.science/pith/WFGONODS7QCQS7IPIMJ6RPG3PJ/action/citation_signature","submit_replication":"https://pith.science/pith/WFGONODS7QCQS7IPIMJ6RPG3PJ/action/replication_record"}},"created_at":"2026-06-25T00:17:46.040629+00:00","updated_at":"2026-06-25T00:17:46.040629+00:00"}