{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PQF2HE2ZHJ35TVGLXMB74GFWEK","short_pith_number":"pith:PQF2HE2Z","schema_version":"1.0","canonical_sha256":"7c0ba393593a77d9d4cbbb03fe18b6229229035e44a07dcd532413baec14c5ad","source":{"kind":"arxiv","id":"1201.6315","version":3},"attestation_state":"computed","paper":{"title":"Thermodynamic Tree: The Space of Admissible Paths","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. N. Gorban","submitted_at":"2012-01-30T18:30:03Z","abstract_excerpt":"Is a spontaneous transition from a state x to a state y allowed by thermodynamics? Such a question arises often in chemical thermodynamics and kinetics. We ask the more formal question: is there a continuous path between these states, along which the conservation laws hold, the concentrations remain non-negative and the relevant thermodynamic potential G (Gibbs energy, for example) monotonically decreases? The obvious necessary condition, G(x)\\geq G(y), is not sufficient, and we construct the necessary and sufficient conditions. For example, it is impossible to overstep the equilibrium in 1-di"},"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":"1201.6315","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-30T18:30:03Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"86451e3c64f3b707ae8278480ba22a7a9b8c80e8ea4298bbd1e72eb64b4c645d","abstract_canon_sha256":"b47d4d1f2d123cf25e7820da6cd09351417f74197947da55a62ebac119345f55"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:59.839224Z","signature_b64":"Q1vxmN9oBowrvWaHCRmT9D3cOytwnVBrUf9wLg2NhBRpbEHgYA/lCisvdY0QL4HEys/3j0CAbQ+WI4R/iIjlCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c0ba393593a77d9d4cbbb03fe18b6229229035e44a07dcd532413baec14c5ad","last_reissued_at":"2026-05-18T03:33:59.838466Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:59.838466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermodynamic Tree: The Space of Admissible Paths","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. N. Gorban","submitted_at":"2012-01-30T18:30:03Z","abstract_excerpt":"Is a spontaneous transition from a state x to a state y allowed by thermodynamics? Such a question arises often in chemical thermodynamics and kinetics. We ask the more formal question: is there a continuous path between these states, along which the conservation laws hold, the concentrations remain non-negative and the relevant thermodynamic potential G (Gibbs energy, for example) monotonically decreases? The obvious necessary condition, G(x)\\geq G(y), is not sufficient, and we construct the necessary and sufficient conditions. For example, it is impossible to overstep the equilibrium in 1-di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.6315","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":"1201.6315","created_at":"2026-05-18T03:33:59.838590+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.6315v3","created_at":"2026-05-18T03:33:59.838590+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.6315","created_at":"2026-05-18T03:33:59.838590+00:00"},{"alias_kind":"pith_short_12","alias_value":"PQF2HE2ZHJ35","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PQF2HE2ZHJ35TVGL","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PQF2HE2Z","created_at":"2026-05-18T12:27:18.751474+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/PQF2HE2ZHJ35TVGLXMB74GFWEK","json":"https://pith.science/pith/PQF2HE2ZHJ35TVGLXMB74GFWEK.json","graph_json":"https://pith.science/api/pith-number/PQF2HE2ZHJ35TVGLXMB74GFWEK/graph.json","events_json":"https://pith.science/api/pith-number/PQF2HE2ZHJ35TVGLXMB74GFWEK/events.json","paper":"https://pith.science/paper/PQF2HE2Z"},"agent_actions":{"view_html":"https://pith.science/pith/PQF2HE2ZHJ35TVGLXMB74GFWEK","download_json":"https://pith.science/pith/PQF2HE2ZHJ35TVGLXMB74GFWEK.json","view_paper":"https://pith.science/paper/PQF2HE2Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.6315&json=true","fetch_graph":"https://pith.science/api/pith-number/PQF2HE2ZHJ35TVGLXMB74GFWEK/graph.json","fetch_events":"https://pith.science/api/pith-number/PQF2HE2ZHJ35TVGLXMB74GFWEK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PQF2HE2ZHJ35TVGLXMB74GFWEK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PQF2HE2ZHJ35TVGLXMB74GFWEK/action/storage_attestation","attest_author":"https://pith.science/pith/PQF2HE2ZHJ35TVGLXMB74GFWEK/action/author_attestation","sign_citation":"https://pith.science/pith/PQF2HE2ZHJ35TVGLXMB74GFWEK/action/citation_signature","submit_replication":"https://pith.science/pith/PQF2HE2ZHJ35TVGLXMB74GFWEK/action/replication_record"}},"created_at":"2026-05-18T03:33:59.838590+00:00","updated_at":"2026-05-18T03:33:59.838590+00:00"}