{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:7FDVTPGLJNWZMKOGJYGHDFJSPO","short_pith_number":"pith:7FDVTPGL","schema_version":"1.0","canonical_sha256":"f94759bccb4b6d9629c64e0c7195327bb2871cd077e12d4fd93b0c6d33be40a7","source":{"kind":"arxiv","id":"2607.24078","version":1},"attestation_state":"computed","paper":{"title":"Thermodynamics with thermodynamic variable first-passage time. I. From stochastic trajectories to nonlinear transport equations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"cond-mat.stat-mech","authors_text":"V. V. Ryazanov","submitted_at":"2026-07-27T07:19:44Z","abstract_excerpt":"The theoretical foundation of combining external nonequilibrium thermodynamics, the nonequilibrium statistical operator method, and stochastic first passage time thermodynamics are explored. It is shown that including a random lifetime of a metastable state in the generalized distribution function allows the first passage time to be considered as a fully - fledged macroscopic coordinate. A microscopic justification for this approach is provided, and a generalized thermodynamic potential is introduced. A procedure for closing the transport equations based on on thermodynamic consistency conditi"},"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":"2607.24078","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-07-27T07:19:44Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"6b7a4e75b2d32290bc65046cf3719eb9fa20e90e81e1043b5f394579a454dcbf","abstract_canon_sha256":"3e7776c528398ea553a3d5e4c21ef26bce1d3f39eafdbf5d5facff399d715590"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T01:23:44.014888Z","signature_b64":"gam9WhtePYx1SA3Srt9ReQX2jt4C0HigWfpg4Wg4DupKYBm0ft4WAbxHSSJ3G5/UHA5FcIWO3V3faKUQ3CJeBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f94759bccb4b6d9629c64e0c7195327bb2871cd077e12d4fd93b0c6d33be40a7","last_reissued_at":"2026-07-28T01:23:44.013924Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T01:23:44.013924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermodynamics with thermodynamic variable first-passage time. I. From stochastic trajectories to nonlinear transport equations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"cond-mat.stat-mech","authors_text":"V. V. Ryazanov","submitted_at":"2026-07-27T07:19:44Z","abstract_excerpt":"The theoretical foundation of combining external nonequilibrium thermodynamics, the nonequilibrium statistical operator method, and stochastic first passage time thermodynamics are explored. It is shown that including a random lifetime of a metastable state in the generalized distribution function allows the first passage time to be considered as a fully - fledged macroscopic coordinate. A microscopic justification for this approach is provided, and a generalized thermodynamic potential is introduced. A procedure for closing the transport equations based on on thermodynamic consistency conditi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24078","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/2607.24078/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":"2607.24078","created_at":"2026-07-28T01:23:44.014393+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.24078v1","created_at":"2026-07-28T01:23:44.014393+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24078","created_at":"2026-07-28T01:23:44.014393+00:00"},{"alias_kind":"pith_short_12","alias_value":"7FDVTPGLJNWZ","created_at":"2026-07-28T01:23:44.014393+00:00"},{"alias_kind":"pith_short_16","alias_value":"7FDVTPGLJNWZMKOG","created_at":"2026-07-28T01:23:44.014393+00:00"},{"alias_kind":"pith_short_8","alias_value":"7FDVTPGL","created_at":"2026-07-28T01:23:44.014393+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/7FDVTPGLJNWZMKOGJYGHDFJSPO","json":"https://pith.science/pith/7FDVTPGLJNWZMKOGJYGHDFJSPO.json","graph_json":"https://pith.science/api/pith-number/7FDVTPGLJNWZMKOGJYGHDFJSPO/graph.json","events_json":"https://pith.science/api/pith-number/7FDVTPGLJNWZMKOGJYGHDFJSPO/events.json","paper":"https://pith.science/paper/7FDVTPGL"},"agent_actions":{"view_html":"https://pith.science/pith/7FDVTPGLJNWZMKOGJYGHDFJSPO","download_json":"https://pith.science/pith/7FDVTPGLJNWZMKOGJYGHDFJSPO.json","view_paper":"https://pith.science/paper/7FDVTPGL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.24078&json=true","fetch_graph":"https://pith.science/api/pith-number/7FDVTPGLJNWZMKOGJYGHDFJSPO/graph.json","fetch_events":"https://pith.science/api/pith-number/7FDVTPGLJNWZMKOGJYGHDFJSPO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7FDVTPGLJNWZMKOGJYGHDFJSPO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7FDVTPGLJNWZMKOGJYGHDFJSPO/action/storage_attestation","attest_author":"https://pith.science/pith/7FDVTPGLJNWZMKOGJYGHDFJSPO/action/author_attestation","sign_citation":"https://pith.science/pith/7FDVTPGLJNWZMKOGJYGHDFJSPO/action/citation_signature","submit_replication":"https://pith.science/pith/7FDVTPGLJNWZMKOGJYGHDFJSPO/action/replication_record"}},"created_at":"2026-07-28T01:23:44.014393+00:00","updated_at":"2026-07-28T01:23:44.014393+00:00"}