{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YID26P27VHBHBB6B75CNRLQIHM","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":"72884e561a4b4ba93c210bc03dc027d96257e9b833b4c64ef0bb548cb1f085f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-04T14:46:52Z","title_canon_sha256":"a563b5598d8304865c8f64e091bc7429056b7c9c4cee9dfa6ae01daedf2af072"},"schema_version":"1.0","source":{"id":"1201.0904","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0904","created_at":"2026-05-18T01:58:57Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0904v2","created_at":"2026-05-18T01:58:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0904","created_at":"2026-05-18T01:58:57Z"},{"alias_kind":"pith_short_12","alias_value":"YID26P27VHBH","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YID26P27VHBHBB6B","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YID26P27","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:c83c1e43aadc90723e4ea6d209a66b0a1a4354d9de86822a01a776126064d455","target":"graph","created_at":"2026-05-18T01:58:57Z","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":"The total entropy production of stochastic systems can be divided into three quantities. The first corresponds to the excess heat, whilst the second two comprise the house-keeping heat. We denote these two components the transient and generalised house-keeping heat and we obtain an integral fluctuation theorem for the latter, valid for all Markovian stochastic dynamics. A previously reported formalism is obtained when the stationary probability distribution is symmetric for all variables that are odd under time reversal which restricts consideration of directional variables such as velocity.","authors_text":"Ian J. Ford, Richard E. Spinney","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-04T14:46:52Z","title":"Non-equilibrium thermodynamics of stochastic systems with odd and even variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0904","kind":"arxiv","version":2},"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:ecff46a8f69199ea1da1c609bd642f9f4160eff15e5604c1a9b5b2e5efc40e24","target":"record","created_at":"2026-05-18T01:58:57Z","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":"72884e561a4b4ba93c210bc03dc027d96257e9b833b4c64ef0bb548cb1f085f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-01-04T14:46:52Z","title_canon_sha256":"a563b5598d8304865c8f64e091bc7429056b7c9c4cee9dfa6ae01daedf2af072"},"schema_version":"1.0","source":{"id":"1201.0904","kind":"arxiv","version":2}},"canonical_sha256":"c207af3f5fa9c27087c1ff44d8ae083b323adde7dbad7d8b6282b973fb938f87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c207af3f5fa9c27087c1ff44d8ae083b323adde7dbad7d8b6282b973fb938f87","first_computed_at":"2026-05-18T01:58:57.897902Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:57.897902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hpQ3YGHPUcQdkH7ap4OGt+YeM+UKYAHHz65kAOGFbJQf8mthtti/nE7SmlhKZC+7AvgEUF7rhuWb7zAIqOdKAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:57.898481Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0904","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecff46a8f69199ea1da1c609bd642f9f4160eff15e5604c1a9b5b2e5efc40e24","sha256:c83c1e43aadc90723e4ea6d209a66b0a1a4354d9de86822a01a776126064d455"],"state_sha256":"5b502d356071fd2eb3f5f1f9595c6f47771f1774244871e0e0d6417347d637e9"}