{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:MDDX7BGK5TBU2FYYVARBVFXY5Z","short_pith_number":"pith:MDDX7BGK","canonical_record":{"source":{"id":"2411.08311","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-13T03:24:08Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"470613a5f0cdfadac1ee47bafb8758743145e4b8deedcc9be772efc976e39551","abstract_canon_sha256":"1ad5f6fe8337f00679c3ae70b2327990f17eae76c9cbf76546a721447691e326"},"schema_version":"1.0"},"canonical_sha256":"60c77f84caecc34d1718a8221a96f8ee65973051fd3bd9f3dd1eadb114657d9b","source":{"kind":"arxiv","id":"2411.08311","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.08311","created_at":"2026-07-05T10:49:48Z"},{"alias_kind":"arxiv_version","alias_value":"2411.08311v2","created_at":"2026-07-05T10:49:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.08311","created_at":"2026-07-05T10:49:48Z"},{"alias_kind":"pith_short_12","alias_value":"MDDX7BGK5TBU","created_at":"2026-07-05T10:49:48Z"},{"alias_kind":"pith_short_16","alias_value":"MDDX7BGK5TBU2FYY","created_at":"2026-07-05T10:49:48Z"},{"alias_kind":"pith_short_8","alias_value":"MDDX7BGK","created_at":"2026-07-05T10:49:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:MDDX7BGK5TBU2FYYVARBVFXY5Z","target":"record","payload":{"canonical_record":{"source":{"id":"2411.08311","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-13T03:24:08Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"470613a5f0cdfadac1ee47bafb8758743145e4b8deedcc9be772efc976e39551","abstract_canon_sha256":"1ad5f6fe8337f00679c3ae70b2327990f17eae76c9cbf76546a721447691e326"},"schema_version":"1.0"},"canonical_sha256":"60c77f84caecc34d1718a8221a96f8ee65973051fd3bd9f3dd1eadb114657d9b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:49:48.714859Z","signature_b64":"d+ctGgTkCdT/AYQaSYAlzrjs3gqT6HIkDrpecACTtpHoEyQvvQ4tig0isjUVh0TrXce7VskJmXj3AcInj2PMAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60c77f84caecc34d1718a8221a96f8ee65973051fd3bd9f3dd1eadb114657d9b","last_reissued_at":"2026-07-05T10:49:48.714345Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:49:48.714345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.08311","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:49:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yL5JB85ZBoJTvZkH2y4AY/iGzL9Broaas652ie7ee+HFYLwMBHyDx+Wx3798b2Gj+mHbgbZEqIhNDVEdF67fBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T02:42:12.418872Z"},"content_sha256":"94addb0bf2aec7eaeba1f9d5f32e2af60733a8d4a0a02ffdeaaf4866585a9abd","schema_version":"1.0","event_id":"sha256:94addb0bf2aec7eaeba1f9d5f32e2af60733a8d4a0a02ffdeaaf4866585a9abd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:MDDX7BGK5TBU2FYYVARBVFXY5Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Martingale properties of entropy production and a generalized work theorem with decoupled forward and backward processes","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"cond-mat.stat-mech","authors_text":"Tom Chou, Xiangting Li","submitted_at":"2024-11-13T03:24:08Z","abstract_excerpt":"By decoupling forward and backward stochastic trajectories, we construct a family of martingales and work theorems for both overdamped and underdamped Langevin dynamics. Our results are made possible by an alternative derivation of work theorems that uses tools from stochastic calculus instead of path-integration. We further strengthen the equality in work theorems by evaluating expectations conditioned on an arbitrary initial state value. These generalizations extend the applicability of work theorems and offer new interpretations of entropy production in stochastic systems. Lastly, we discus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.08311","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.08311/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:49:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MWu3/6SagfIaw42fTe6eU+fTU7b4JNjwS9+7ifTAyQ1R/zEK1VZxqXjUQBWbzt/s192fzB77r713P/q4gf/tCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T02:42:12.419396Z"},"content_sha256":"7bbed3e1aa8c818a2babda8cad16cfd8ad1e0d7bb6e7a42469bfb8dcdde03d73","schema_version":"1.0","event_id":"sha256:7bbed3e1aa8c818a2babda8cad16cfd8ad1e0d7bb6e7a42469bfb8dcdde03d73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MDDX7BGK5TBU2FYYVARBVFXY5Z/bundle.json","state_url":"https://pith.science/pith/MDDX7BGK5TBU2FYYVARBVFXY5Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MDDX7BGK5TBU2FYYVARBVFXY5Z/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-20T02:42:12Z","links":{"resolver":"https://pith.science/pith/MDDX7BGK5TBU2FYYVARBVFXY5Z","bundle":"https://pith.science/pith/MDDX7BGK5TBU2FYYVARBVFXY5Z/bundle.json","state":"https://pith.science/pith/MDDX7BGK5TBU2FYYVARBVFXY5Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MDDX7BGK5TBU2FYYVARBVFXY5Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MDDX7BGK5TBU2FYYVARBVFXY5Z","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":"1ad5f6fe8337f00679c3ae70b2327990f17eae76c9cbf76546a721447691e326","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-13T03:24:08Z","title_canon_sha256":"470613a5f0cdfadac1ee47bafb8758743145e4b8deedcc9be772efc976e39551"},"schema_version":"1.0","source":{"id":"2411.08311","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.08311","created_at":"2026-07-05T10:49:48Z"},{"alias_kind":"arxiv_version","alias_value":"2411.08311v2","created_at":"2026-07-05T10:49:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.08311","created_at":"2026-07-05T10:49:48Z"},{"alias_kind":"pith_short_12","alias_value":"MDDX7BGK5TBU","created_at":"2026-07-05T10:49:48Z"},{"alias_kind":"pith_short_16","alias_value":"MDDX7BGK5TBU2FYY","created_at":"2026-07-05T10:49:48Z"},{"alias_kind":"pith_short_8","alias_value":"MDDX7BGK","created_at":"2026-07-05T10:49:48Z"}],"graph_snapshots":[{"event_id":"sha256:7bbed3e1aa8c818a2babda8cad16cfd8ad1e0d7bb6e7a42469bfb8dcdde03d73","target":"graph","created_at":"2026-07-05T10:49:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.08311/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"By decoupling forward and backward stochastic trajectories, we construct a family of martingales and work theorems for both overdamped and underdamped Langevin dynamics. Our results are made possible by an alternative derivation of work theorems that uses tools from stochastic calculus instead of path-integration. We further strengthen the equality in work theorems by evaluating expectations conditioned on an arbitrary initial state value. These generalizations extend the applicability of work theorems and offer new interpretations of entropy production in stochastic systems. Lastly, we discus","authors_text":"Tom Chou, Xiangting Li","cross_cats":["math-ph","math.MP","math.PR"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-13T03:24:08Z","title":"Martingale properties of entropy production and a generalized work theorem with decoupled forward and backward processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.08311","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":"sha256:94addb0bf2aec7eaeba1f9d5f32e2af60733a8d4a0a02ffdeaaf4866585a9abd","target":"record","created_at":"2026-07-05T10:49:48Z","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":"1ad5f6fe8337f00679c3ae70b2327990f17eae76c9cbf76546a721447691e326","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-13T03:24:08Z","title_canon_sha256":"470613a5f0cdfadac1ee47bafb8758743145e4b8deedcc9be772efc976e39551"},"schema_version":"1.0","source":{"id":"2411.08311","kind":"arxiv","version":2}},"canonical_sha256":"60c77f84caecc34d1718a8221a96f8ee65973051fd3bd9f3dd1eadb114657d9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60c77f84caecc34d1718a8221a96f8ee65973051fd3bd9f3dd1eadb114657d9b","first_computed_at":"2026-07-05T10:49:48.714345Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:49:48.714345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d+ctGgTkCdT/AYQaSYAlzrjs3gqT6HIkDrpecACTtpHoEyQvvQ4tig0isjUVh0TrXce7VskJmXj3AcInj2PMAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:49:48.714859Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.08311","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94addb0bf2aec7eaeba1f9d5f32e2af60733a8d4a0a02ffdeaaf4866585a9abd","sha256:7bbed3e1aa8c818a2babda8cad16cfd8ad1e0d7bb6e7a42469bfb8dcdde03d73"],"state_sha256":"6c47b3d40a67dd3990a7895f2c1b00ffdf4113f1166005426797ba082a7a4065"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rNmNZ0Wr4zYYrPgqHAaMXDOIZL8dZiLPJA8J6WHZ48lnsyyfONIvSvoTaG/cRUAjx1rjie+mjq+AswlongWcAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T02:42:12.423712Z","bundle_sha256":"455223fbdbf1887c5705508025ee0d5ef08fe0dc9f34d9f50b324b911cc02101"}}