{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:6QELWDL52KHBD2ZQGTNBRPDNJT","short_pith_number":"pith:6QELWDL5","schema_version":"1.0","canonical_sha256":"f408bb0d7dd28e11eb3034da18bc6d4ceb382f9bd802df1017fcc6609303feef","source":{"kind":"arxiv","id":"1306.3173","version":3},"attestation_state":"computed","paper":{"title":"Steepest-Entropy-Ascent and Maximal-Entropy-Production Dynamical Models of Irreversible Relaxation to Stable Equilibrium from Any Non-Equilibrium State. Unified Treatment for Six Non-Equilibrium Frameworks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Gian Paolo Beretta","submitted_at":"2013-06-13T17:35:58Z","abstract_excerpt":"By suitable reformulations, we review the mathematical frameworks of six different approaches to the description of non-equilibrium dynamics with the purpose to set up a unified formulation of the Maximum Entropy Production (MEP) principle valid in all these contexts. In this way, we extend to such frameworks the concept of Steepest Entropy Ascent dynamics introduced by the present author in previous work on quantum thermodynamics. Actually, the present formulation constitutes a generalization also in the quantum thermodynamics framework. The analysis emphasizes that in the SEA-inspired implem"},"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":"1306.3173","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-13T17:35:58Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"05023ec85ddf228c3403127e6af1d30235419b63a987b60251344fe3f5f706aa","abstract_canon_sha256":"154948283d03d549a137dd89e077547a94d2c82ca537675bafe13e9cac8900d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:56.183929Z","signature_b64":"glnNmDAtFPECjtdzx/70wUMtl5fgZ1bK9hur7kMA9sPnnRT3CCewQBBU66XdQCk5Y4unpl7MY+sgeC4iilOiCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f408bb0d7dd28e11eb3034da18bc6d4ceb382f9bd802df1017fcc6609303feef","last_reissued_at":"2026-05-18T03:19:56.183351Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:56.183351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Steepest-Entropy-Ascent and Maximal-Entropy-Production Dynamical Models of Irreversible Relaxation to Stable Equilibrium from Any Non-Equilibrium State. Unified Treatment for Six Non-Equilibrium Frameworks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Gian Paolo Beretta","submitted_at":"2013-06-13T17:35:58Z","abstract_excerpt":"By suitable reformulations, we review the mathematical frameworks of six different approaches to the description of non-equilibrium dynamics with the purpose to set up a unified formulation of the Maximum Entropy Production (MEP) principle valid in all these contexts. In this way, we extend to such frameworks the concept of Steepest Entropy Ascent dynamics introduced by the present author in previous work on quantum thermodynamics. Actually, the present formulation constitutes a generalization also in the quantum thermodynamics framework. The analysis emphasizes that in the SEA-inspired implem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3173","kind":"arxiv","version":3},"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":"1306.3173","created_at":"2026-05-18T03:19:56.183430+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.3173v3","created_at":"2026-05-18T03:19:56.183430+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3173","created_at":"2026-05-18T03:19:56.183430+00:00"},{"alias_kind":"pith_short_12","alias_value":"6QELWDL52KHB","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"6QELWDL52KHBD2ZQ","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"6QELWDL5","created_at":"2026-05-18T12:27:36.564083+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/6QELWDL52KHBD2ZQGTNBRPDNJT","json":"https://pith.science/pith/6QELWDL52KHBD2ZQGTNBRPDNJT.json","graph_json":"https://pith.science/api/pith-number/6QELWDL52KHBD2ZQGTNBRPDNJT/graph.json","events_json":"https://pith.science/api/pith-number/6QELWDL52KHBD2ZQGTNBRPDNJT/events.json","paper":"https://pith.science/paper/6QELWDL5"},"agent_actions":{"view_html":"https://pith.science/pith/6QELWDL52KHBD2ZQGTNBRPDNJT","download_json":"https://pith.science/pith/6QELWDL52KHBD2ZQGTNBRPDNJT.json","view_paper":"https://pith.science/paper/6QELWDL5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.3173&json=true","fetch_graph":"https://pith.science/api/pith-number/6QELWDL52KHBD2ZQGTNBRPDNJT/graph.json","fetch_events":"https://pith.science/api/pith-number/6QELWDL52KHBD2ZQGTNBRPDNJT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6QELWDL52KHBD2ZQGTNBRPDNJT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6QELWDL52KHBD2ZQGTNBRPDNJT/action/storage_attestation","attest_author":"https://pith.science/pith/6QELWDL52KHBD2ZQGTNBRPDNJT/action/author_attestation","sign_citation":"https://pith.science/pith/6QELWDL52KHBD2ZQGTNBRPDNJT/action/citation_signature","submit_replication":"https://pith.science/pith/6QELWDL52KHBD2ZQGTNBRPDNJT/action/replication_record"}},"created_at":"2026-05-18T03:19:56.183430+00:00","updated_at":"2026-05-18T03:19:56.183430+00:00"}