{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:U4C5FVPXWEUHDUGH4DIOUAXYTK","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":"fb78279873fec146b19fcea924cf2e021d3b4c98adc3325cfeb6f2e3c21525c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-11-14T01:18:26Z","title_canon_sha256":"80911aa32b9206a512a1907b2abefa32f4c94e6d0283b7163ee0f270ec7cdac7"},"schema_version":"1.0","source":{"id":"0811.2248","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.2248","created_at":"2026-05-18T02:15:21Z"},{"alias_kind":"arxiv_version","alias_value":"0811.2248v3","created_at":"2026-05-18T02:15:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.2248","created_at":"2026-05-18T02:15:21Z"},{"alias_kind":"pith_short_12","alias_value":"U4C5FVPXWEUH","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"U4C5FVPXWEUHDUGH","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"U4C5FVPX","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:907b4a356b301365d54dbecc6ef77ebca1a11096ee046a68975d415847f0c95f","target":"graph","created_at":"2026-05-18T02:15:21Z","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":"Using the recently derived Dissipation Theorem and a corollary of the Transient Fluctuation Theorem (TFT), namely the Second Law Inequality, we derive the unique time independent, equilibrium phase space distribution function for an ergodic Hamiltonian system in contact with a remote heat bath. We prove under very general conditions that any deviation from this equilibrium distribution breaks the time independence of the distribution. Provided temporal correlations decay, and the system is ergodic, we show that any nonequilibrium distribution that is an even function of the momenta, eventually","authors_text":"Debra J. Searles, Denis J. Evans, Stephen R. Williams","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-11-14T01:18:26Z","title":"Dissipation and the Relaxation to Equilibrium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.2248","kind":"arxiv","version":3},"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:ecce353debe3a0dffb1acc58c5348f3db9aa307ca3f97c3f08a663778ef8a462","target":"record","created_at":"2026-05-18T02:15:21Z","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":"fb78279873fec146b19fcea924cf2e021d3b4c98adc3325cfeb6f2e3c21525c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-11-14T01:18:26Z","title_canon_sha256":"80911aa32b9206a512a1907b2abefa32f4c94e6d0283b7163ee0f270ec7cdac7"},"schema_version":"1.0","source":{"id":"0811.2248","kind":"arxiv","version":3}},"canonical_sha256":"a705d2d5f7b12871d0c7e0d0ea02f89ab5be3f12183ee28e5b39d23e5bfc0e7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a705d2d5f7b12871d0c7e0d0ea02f89ab5be3f12183ee28e5b39d23e5bfc0e7a","first_computed_at":"2026-05-18T02:15:21.180958Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:21.180958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PKkBX9os0D5BnMcy++tXeN2THoa1mNevHM4J1vx/C0ZmTtFTDVx9+z8I5vNB8DFx0dVMIWewdG++h5SGvh75BA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:21.181701Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.2248","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecce353debe3a0dffb1acc58c5348f3db9aa307ca3f97c3f08a663778ef8a462","sha256:907b4a356b301365d54dbecc6ef77ebca1a11096ee046a68975d415847f0c95f"],"state_sha256":"7f6db9ae7bcc398ce9d5f526563898bb97f272b9ea3037d93df70a8bf27f1432"}