{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ZUIFXBLS7IURCRILHYQOBHCEHS","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4744b89611117494725e7d6512021452189daf4e7b519f0a014e26ebc2ac6025","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-07-22T22:08:00Z","title_canon_sha256":"b9c3c9a03cea6ceed63974e16d6ce9b63c3c6598b917fccc61c90c669e8e3f9e"},"schema_version":"1.0","source":{"id":"1907.09604","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.09604","created_at":"2026-05-17T23:39:52Z"},{"alias_kind":"arxiv_version","alias_value":"1907.09604v1","created_at":"2026-05-17T23:39:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.09604","created_at":"2026-05-17T23:39:52Z"},{"alias_kind":"pith_short_12","alias_value":"ZUIFXBLS7IUR","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"ZUIFXBLS7IURCRIL","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"ZUIFXBLS","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:e10eafb99b9f9263b7289fb05868de1524be1a6d794418c730e2fe22cbe8a77a","target":"graph","created_at":"2026-05-17T23:39:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"For processes during which a macroscopic system exchanges no heat with its surroundings, the second law of thermodynamics places two lower bounds on the amount of work performed on the system: a weak bound, expressed in terms of a fixed-temperature free energy difference, $W \\ge \\Delta F_T$ , and a strong bound, given by a fixed-entropy internal energy difference, $W \\ge \\Delta E_S$ . It is known that statistical inequalities related to the weak bound can be obtained from the nonequilibrium work relation, $\\langle\\exp (-\\beta W)\\rangle = \\exp(-\\beta\\Delta F_T)$ . Here we derive an integral flu","authors_text":"Christopher Jarzynski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-07-22T22:08:00Z","title":"Fluctuation relations and strong inequalities for thermally isolated systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.09604","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:76d89ec68c2109434bdff83e6d6bde92c500bcfca5bc2ae4efbb0e7223ee5c74","target":"record","created_at":"2026-05-17T23:39:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4744b89611117494725e7d6512021452189daf4e7b519f0a014e26ebc2ac6025","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2019-07-22T22:08:00Z","title_canon_sha256":"b9c3c9a03cea6ceed63974e16d6ce9b63c3c6598b917fccc61c90c669e8e3f9e"},"schema_version":"1.0","source":{"id":"1907.09604","kind":"arxiv","version":1}},"canonical_sha256":"cd105b8572fa2911450b3e20e09c443ca62496433498fe12eb953c59944c63d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd105b8572fa2911450b3e20e09c443ca62496433498fe12eb953c59944c63d9","first_computed_at":"2026-05-17T23:39:52.774621Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:52.774621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZgJNbY0T1bxm4xhYl5hKf4INB4fIFLgWZa6vXnJsAa2DfpCxgTTnvlQYvI6SGJXkNBOC+eg+2qyOrIdU89rXDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:52.775156Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.09604","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76d89ec68c2109434bdff83e6d6bde92c500bcfca5bc2ae4efbb0e7223ee5c74","sha256:e10eafb99b9f9263b7289fb05868de1524be1a6d794418c730e2fe22cbe8a77a"],"state_sha256":"44342863d02d6d91f247ed89649c41f2193fa3a8ab3e7cedcd236f22cc182104"}