{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:PUMEN5FPBDA3TTLJAGAWNK76TP","short_pith_number":"pith:PUMEN5FP","canonical_record":{"source":{"id":"chao-dyn/9812032","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"chao-dyn","submitted_at":"1998-12-31T11:51:30Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"a45446e3043dc075a232cb0a523771e202db2235788c452021d4886264c5e584","abstract_canon_sha256":"733549fa779621dcc24dd3532fc69e834095f133eb2c2840af1ed69cfeaa79e5"},"schema_version":"1.0"},"canonical_sha256":"7d1846f4af08c1b9cd69018166abfe9bd1e9ee84f4d15debf8debdebc399e4ab","source":{"kind":"arxiv","id":"chao-dyn/9812032","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"chao-dyn/9812032","created_at":"2026-05-18T01:40:11Z"},{"alias_kind":"arxiv_version","alias_value":"chao-dyn/9812032v1","created_at":"2026-05-18T01:40:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.chao-dyn/9812032","created_at":"2026-05-18T01:40:11Z"},{"alias_kind":"pith_short_12","alias_value":"PUMEN5FPBDA3","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"PUMEN5FPBDA3TTLJ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"PUMEN5FP","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:PUMEN5FPBDA3TTLJAGAWNK76TP","target":"record","payload":{"canonical_record":{"source":{"id":"chao-dyn/9812032","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"chao-dyn","submitted_at":"1998-12-31T11:51:30Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"a45446e3043dc075a232cb0a523771e202db2235788c452021d4886264c5e584","abstract_canon_sha256":"733549fa779621dcc24dd3532fc69e834095f133eb2c2840af1ed69cfeaa79e5"},"schema_version":"1.0"},"canonical_sha256":"7d1846f4af08c1b9cd69018166abfe9bd1e9ee84f4d15debf8debdebc399e4ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:11.485039Z","signature_b64":"TAOU48bspI7ca5N3R/HyL6sbp9eMNcgawq9+xFGWvv8mUvw1QWzYPVK71AOzM6Wxu+mAGtsBfB8bgYRIYB4BCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d1846f4af08c1b9cd69018166abfe9bd1e9ee84f4d15debf8debdebc399e4ab","last_reissued_at":"2026-05-18T01:40:11.484303Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:11.484303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"chao-dyn/9812032","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:40:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w6dNoZFu9TOF/WBkKfa0ZD66H8Ha+Gy2QidqtC4Syawt1HaB7rQ3FNkv9eghczenciBhXxNcHcEAKsbhuRUKBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:22:08.758299Z"},"content_sha256":"c1c7043ecde6dc9ffe4776ecf9ff05792a68f1e3dc3f85cbac4e86c38d4db13a","schema_version":"1.0","event_id":"sha256:c1c7043ecde6dc9ffe4776ecf9ff05792a68f1e3dc3f85cbac4e86c38d4db13a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:PUMEN5FPBDA3TTLJAGAWNK76TP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics","license":"","headline":"","cross_cats":["nlin.CD"],"primary_cat":"chao-dyn","authors_text":"David Ruelle","submitted_at":"1998-12-31T11:51:30Z","abstract_excerpt":"This paper reviews various applications of the theory of smooth dynamical systems to conceptual problems of nonequilibrium statistical mechanics. We adopt a new point of view which has emerged progressively in recent years, and which takes seriously into account the chaotic character of the microscopic time evolution. The emphasis is on nonequilibrium steady states rather than the traditional approach to equilibrium point of view of Boltzmann. The nonequilibrium steady states, in presence of a Gaussian thermostat, are described by SRB measures. In terms of these one can prove the Gallavotti-Co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chao-dyn/9812032","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T01:40:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yCJ0k2O2al041E8UYkzQfDCkq5WY6bJzF1SA6RU3ITAktKyUB49QPXJTdxv/2G/4+fd8ujYgK7qfWfN79gVhBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:22:08.758927Z"},"content_sha256":"6c25cf49ef4625171b1533b35b0a34c4ff6bf279c798748a9be2f25ee1897ec1","schema_version":"1.0","event_id":"sha256:6c25cf49ef4625171b1533b35b0a34c4ff6bf279c798748a9be2f25ee1897ec1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PUMEN5FPBDA3TTLJAGAWNK76TP/bundle.json","state_url":"https://pith.science/pith/PUMEN5FPBDA3TTLJAGAWNK76TP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PUMEN5FPBDA3TTLJAGAWNK76TP/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":"2026-05-27T18:22:08Z","links":{"resolver":"https://pith.science/pith/PUMEN5FPBDA3TTLJAGAWNK76TP","bundle":"https://pith.science/pith/PUMEN5FPBDA3TTLJAGAWNK76TP/bundle.json","state":"https://pith.science/pith/PUMEN5FPBDA3TTLJAGAWNK76TP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PUMEN5FPBDA3TTLJAGAWNK76TP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:PUMEN5FPBDA3TTLJAGAWNK76TP","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":"733549fa779621dcc24dd3532fc69e834095f133eb2c2840af1ed69cfeaa79e5","cross_cats_sorted":["nlin.CD"],"license":"","primary_cat":"chao-dyn","submitted_at":"1998-12-31T11:51:30Z","title_canon_sha256":"a45446e3043dc075a232cb0a523771e202db2235788c452021d4886264c5e584"},"schema_version":"1.0","source":{"id":"chao-dyn/9812032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"chao-dyn/9812032","created_at":"2026-05-18T01:40:11Z"},{"alias_kind":"arxiv_version","alias_value":"chao-dyn/9812032v1","created_at":"2026-05-18T01:40:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.chao-dyn/9812032","created_at":"2026-05-18T01:40:11Z"},{"alias_kind":"pith_short_12","alias_value":"PUMEN5FPBDA3","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"PUMEN5FPBDA3TTLJ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"PUMEN5FP","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:6c25cf49ef4625171b1533b35b0a34c4ff6bf279c798748a9be2f25ee1897ec1","target":"graph","created_at":"2026-05-18T01:40:11Z","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":"This paper reviews various applications of the theory of smooth dynamical systems to conceptual problems of nonequilibrium statistical mechanics. We adopt a new point of view which has emerged progressively in recent years, and which takes seriously into account the chaotic character of the microscopic time evolution. The emphasis is on nonequilibrium steady states rather than the traditional approach to equilibrium point of view of Boltzmann. The nonequilibrium steady states, in presence of a Gaussian thermostat, are described by SRB measures. In terms of these one can prove the Gallavotti-Co","authors_text":"David Ruelle","cross_cats":["nlin.CD"],"headline":"","license":"","primary_cat":"chao-dyn","submitted_at":"1998-12-31T11:51:30Z","title":"Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chao-dyn/9812032","kind":"arxiv","version":1},"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:c1c7043ecde6dc9ffe4776ecf9ff05792a68f1e3dc3f85cbac4e86c38d4db13a","target":"record","created_at":"2026-05-18T01:40:11Z","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":"733549fa779621dcc24dd3532fc69e834095f133eb2c2840af1ed69cfeaa79e5","cross_cats_sorted":["nlin.CD"],"license":"","primary_cat":"chao-dyn","submitted_at":"1998-12-31T11:51:30Z","title_canon_sha256":"a45446e3043dc075a232cb0a523771e202db2235788c452021d4886264c5e584"},"schema_version":"1.0","source":{"id":"chao-dyn/9812032","kind":"arxiv","version":1}},"canonical_sha256":"7d1846f4af08c1b9cd69018166abfe9bd1e9ee84f4d15debf8debdebc399e4ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d1846f4af08c1b9cd69018166abfe9bd1e9ee84f4d15debf8debdebc399e4ab","first_computed_at":"2026-05-18T01:40:11.484303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:11.484303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TAOU48bspI7ca5N3R/HyL6sbp9eMNcgawq9+xFGWvv8mUvw1QWzYPVK71AOzM6Wxu+mAGtsBfB8bgYRIYB4BCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:11.485039Z","signed_message":"canonical_sha256_bytes"},"source_id":"chao-dyn/9812032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1c7043ecde6dc9ffe4776ecf9ff05792a68f1e3dc3f85cbac4e86c38d4db13a","sha256:6c25cf49ef4625171b1533b35b0a34c4ff6bf279c798748a9be2f25ee1897ec1"],"state_sha256":"3f10a08d7775b2e04ee6698cbb58b8707dda9ad88418db6fef12262f53d062c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9wOU7I7t4MTQXsRDuGwqQyU/QBv3B9RQKh1c5/1zN2s/jkB+4eQ741KslvrQnbkFGu10NZ9SKc2JOzVcNS8ICQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:22:08.762351Z","bundle_sha256":"faf770868c10f5811a539f7584819b6b8ccb68efcce3cd1851e615d756682629"}}