{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LDON6HDGULDGIN6SYG3P3CCLED","short_pith_number":"pith:LDON6HDG","canonical_record":{"source":{"id":"2410.09277","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-10-11T21:57:30Z","cross_cats_sorted":[],"title_canon_sha256":"06ba8453e0dd15d145da245a43634662c67b5b61f1b99e2690bc78b03e001ae4","abstract_canon_sha256":"057527dd7fe6612d77ab6609cd526021ee7f5fd7d42bd1ae7d38957b675cf6e6"},"schema_version":"1.0"},"canonical_sha256":"58dcdf1c66a2c66437d2c1b6fd884b20d4fdef6749aa7ac4a69247184f488748","source":{"kind":"arxiv","id":"2410.09277","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.09277","created_at":"2026-07-05T10:59:02Z"},{"alias_kind":"arxiv_version","alias_value":"2410.09277v2","created_at":"2026-07-05T10:59:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.09277","created_at":"2026-07-05T10:59:02Z"},{"alias_kind":"pith_short_12","alias_value":"LDON6HDGULDG","created_at":"2026-07-05T10:59:02Z"},{"alias_kind":"pith_short_16","alias_value":"LDON6HDGULDGIN6S","created_at":"2026-07-05T10:59:02Z"},{"alias_kind":"pith_short_8","alias_value":"LDON6HDG","created_at":"2026-07-05T10:59:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LDON6HDGULDGIN6SYG3P3CCLED","target":"record","payload":{"canonical_record":{"source":{"id":"2410.09277","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-10-11T21:57:30Z","cross_cats_sorted":[],"title_canon_sha256":"06ba8453e0dd15d145da245a43634662c67b5b61f1b99e2690bc78b03e001ae4","abstract_canon_sha256":"057527dd7fe6612d77ab6609cd526021ee7f5fd7d42bd1ae7d38957b675cf6e6"},"schema_version":"1.0"},"canonical_sha256":"58dcdf1c66a2c66437d2c1b6fd884b20d4fdef6749aa7ac4a69247184f488748","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:59:02.470564Z","signature_b64":"QERuRCIiNSnf6yfBwX1dB4TMFSBtoEya61qaSZwIuDoHtgjumx2lXGoGa1hySPPeZGpbTjBa7NTirG7MYz1HCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58dcdf1c66a2c66437d2c1b6fd884b20d4fdef6749aa7ac4a69247184f488748","last_reissued_at":"2026-07-05T10:59:02.470058Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:59:02.470058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.09277","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":"2026-07-05T10:59:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LxPlxjXTtmFLO38Sji+BIXZKqj6Pw9Kzgz7xINuD56LoDuhhdK9CLTTZLGmPWvHO9Vxb2hntp2Xfoki/kW53DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T02:39:46.626820Z"},"content_sha256":"87e9140109b36b0c913e7508d9d9f2294fa879d1701e12fe1df33fbe4b10df32","schema_version":"1.0","event_id":"sha256:87e9140109b36b0c913e7508d9d9f2294fa879d1701e12fe1df33fbe4b10df32"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LDON6HDGULDGIN6SYG3P3CCLED","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deriving the Forces of Nonequilibria from Two Laws","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Ken A. Dill, Ying-Jen Yang","submitted_at":"2024-10-11T21:57:30Z","abstract_excerpt":"Non-EQuilibrium (NEQ) statistical physics has not had the same general foundation as that of EQuilibrium (EQ) statistical physics, where forces are derived from potentials such as $1/T = \\partial S/\\partial U$, and from which other key mathematical relations follow. Here, we show how general NEQ principles can be derived from two corresponding laws. Maximizing path entropy replaces maximizing state entropy. Whereas EQ can entail observables $(U, V, N)$, dynamics has (node populations, edge traffic, cycle flux). We derive forces of NEQ, fluctuation-susceptibility equalities, Maxwell-Onsager-lik"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.09277","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/2410.09277/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":"2026-07-05T10:59:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B1Dh/tRxrmAR6129zijFUPQexVhHHSDyNmBXn+wMHo5H9CMjMgfdTvuWOhpwcitohtwJ3QW4bFsCzLQVTNEvBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T02:39:46.627329Z"},"content_sha256":"1a264b819dda53d8a3346e8ffbc69cc9cea36e7335afa9c00bd2b68ec1037c16","schema_version":"1.0","event_id":"sha256:1a264b819dda53d8a3346e8ffbc69cc9cea36e7335afa9c00bd2b68ec1037c16"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LDON6HDGULDGIN6SYG3P3CCLED/bundle.json","state_url":"https://pith.science/pith/LDON6HDGULDGIN6SYG3P3CCLED/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LDON6HDGULDGIN6SYG3P3CCLED/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":"2026-08-20T02:39:46Z","links":{"resolver":"https://pith.science/pith/LDON6HDGULDGIN6SYG3P3CCLED","bundle":"https://pith.science/pith/LDON6HDGULDGIN6SYG3P3CCLED/bundle.json","state":"https://pith.science/pith/LDON6HDGULDGIN6SYG3P3CCLED/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LDON6HDGULDGIN6SYG3P3CCLED/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LDON6HDGULDGIN6SYG3P3CCLED","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":"057527dd7fe6612d77ab6609cd526021ee7f5fd7d42bd1ae7d38957b675cf6e6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-10-11T21:57:30Z","title_canon_sha256":"06ba8453e0dd15d145da245a43634662c67b5b61f1b99e2690bc78b03e001ae4"},"schema_version":"1.0","source":{"id":"2410.09277","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.09277","created_at":"2026-07-05T10:59:02Z"},{"alias_kind":"arxiv_version","alias_value":"2410.09277v2","created_at":"2026-07-05T10:59:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.09277","created_at":"2026-07-05T10:59:02Z"},{"alias_kind":"pith_short_12","alias_value":"LDON6HDGULDG","created_at":"2026-07-05T10:59:02Z"},{"alias_kind":"pith_short_16","alias_value":"LDON6HDGULDGIN6S","created_at":"2026-07-05T10:59:02Z"},{"alias_kind":"pith_short_8","alias_value":"LDON6HDG","created_at":"2026-07-05T10:59:02Z"}],"graph_snapshots":[{"event_id":"sha256:1a264b819dda53d8a3346e8ffbc69cc9cea36e7335afa9c00bd2b68ec1037c16","target":"graph","created_at":"2026-07-05T10:59:02Z","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/2410.09277/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Non-EQuilibrium (NEQ) statistical physics has not had the same general foundation as that of EQuilibrium (EQ) statistical physics, where forces are derived from potentials such as $1/T = \\partial S/\\partial U$, and from which other key mathematical relations follow. Here, we show how general NEQ principles can be derived from two corresponding laws. Maximizing path entropy replaces maximizing state entropy. Whereas EQ can entail observables $(U, V, N)$, dynamics has (node populations, edge traffic, cycle flux). We derive forces of NEQ, fluctuation-susceptibility equalities, Maxwell-Onsager-lik","authors_text":"Ken A. Dill, Ying-Jen Yang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-10-11T21:57:30Z","title":"Deriving the Forces of Nonequilibria from Two Laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.09277","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":"sha256:87e9140109b36b0c913e7508d9d9f2294fa879d1701e12fe1df33fbe4b10df32","target":"record","created_at":"2026-07-05T10:59:02Z","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":"057527dd7fe6612d77ab6609cd526021ee7f5fd7d42bd1ae7d38957b675cf6e6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-10-11T21:57:30Z","title_canon_sha256":"06ba8453e0dd15d145da245a43634662c67b5b61f1b99e2690bc78b03e001ae4"},"schema_version":"1.0","source":{"id":"2410.09277","kind":"arxiv","version":2}},"canonical_sha256":"58dcdf1c66a2c66437d2c1b6fd884b20d4fdef6749aa7ac4a69247184f488748","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58dcdf1c66a2c66437d2c1b6fd884b20d4fdef6749aa7ac4a69247184f488748","first_computed_at":"2026-07-05T10:59:02.470058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:59:02.470058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QERuRCIiNSnf6yfBwX1dB4TMFSBtoEya61qaSZwIuDoHtgjumx2lXGoGa1hySPPeZGpbTjBa7NTirG7MYz1HCg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:59:02.470564Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.09277","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87e9140109b36b0c913e7508d9d9f2294fa879d1701e12fe1df33fbe4b10df32","sha256:1a264b819dda53d8a3346e8ffbc69cc9cea36e7335afa9c00bd2b68ec1037c16"],"state_sha256":"a6c2ea0d032b7a4482e79fd59626a7fe03bab5b9a06666492a1cee7032b45f04"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pcmJrM5Qhyrk29TuLrSt2XHLtxl30qxld2bfHB4xw/pK8K+ntdoJv3krkMriNSqBxHx+zKxCVPgLCCP0VPXNBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T02:39:46.632317Z","bundle_sha256":"c836e618cc7c75409f87b26457424c3aa809f4fe5eca7ad1e76ed339a9bc0faf"}}