{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:RCZNRWLG6NBWHRDO6HJKUQOT3X","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":"e1a833e3a3e278db1e8fc10140522fd99fd61613dbc8869eabe5f27900c63dda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-14T20:08:43Z","title_canon_sha256":"3c412de952d3be15d08cb7f6f3bb849ccd70cb14415e4bf09179226a8c5242fe"},"schema_version":"1.0","source":{"id":"0912.2468","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.2468","created_at":"2026-05-18T03:58:25Z"},{"alias_kind":"arxiv_version","alias_value":"0912.2468v3","created_at":"2026-05-18T03:58:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.2468","created_at":"2026-05-18T03:58:25Z"},{"alias_kind":"pith_short_12","alias_value":"RCZNRWLG6NBW","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"RCZNRWLG6NBWHRDO","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"RCZNRWLG","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:7c45de7d8204bcd8cbc3bc376943c8f31b6203d59de84d22ed336689ca539fb1","target":"graph","created_at":"2026-05-18T03:58:25Z","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":"A central endeavor of thermodynamics is the measurement of free energy changes. Regrettably, although we can measure the free energy of a system in thermodynamic equilibrium, typically all we can say about the free energy of a non-equilibrium ensemble is that it is larger than that of the same system at equilibrium. Herein, we derive a formally exact expression for the probability distribution of a driven system, which involves path ensemble averages of the work over trajectories of the time-reversed system. From this we find a simple near-equilibrium approximation for the free energy in terms","authors_text":"David A. Sivak, Gavin E. Crooks","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-14T20:08:43Z","title":"Near-equilibrium measurements of nonequilibrium free energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.2468","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:e532cfd480f7bab76ecc40ccf588fa6a456d17509775b53c266ddaf795e9d489","target":"record","created_at":"2026-05-18T03:58:25Z","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":"e1a833e3a3e278db1e8fc10140522fd99fd61613dbc8869eabe5f27900c63dda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-14T20:08:43Z","title_canon_sha256":"3c412de952d3be15d08cb7f6f3bb849ccd70cb14415e4bf09179226a8c5242fe"},"schema_version":"1.0","source":{"id":"0912.2468","kind":"arxiv","version":3}},"canonical_sha256":"88b2d8d966f34363c46ef1d2aa41d3ddfbfb6056a2552eb0a0ba8f3c86bd74d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88b2d8d966f34363c46ef1d2aa41d3ddfbfb6056a2552eb0a0ba8f3c86bd74d0","first_computed_at":"2026-05-18T03:58:25.066405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:25.066405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NGJWrENL4Uj2ccGmUwrazBSuFuydzFOqMl+ho9gd8bxTc+gFiBCCmubylzHgRgSBqKxPSMfGdarbOt2PqVqhDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:25.067128Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.2468","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e532cfd480f7bab76ecc40ccf588fa6a456d17509775b53c266ddaf795e9d489","sha256:7c45de7d8204bcd8cbc3bc376943c8f31b6203d59de84d22ed336689ca539fb1"],"state_sha256":"1a974a1548b02201358bf754aebd940a1a58340bf52fecbffb534651f5d859df"}