{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:ONKQFFWCPPUBLHOQY5WXML2IB4","short_pith_number":"pith:ONKQFFWC","canonical_record":{"source":{"id":"0908.4541","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-08-31T14:17:08Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"70ec3c18421a0f8273eedcb7644a7c271bcb2b5b1958371b8787a708b0bfb5ee","abstract_canon_sha256":"942e9ce657b121a98e1483e5173e10ee91eab20835891480ad4b79bf0ee260b1"},"schema_version":"1.0"},"canonical_sha256":"73550296c27be8159dd0c76d762f480f35587e811d1bd34a08d728b06d77bbab","source":{"kind":"arxiv","id":"0908.4541","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.4541","created_at":"2026-05-18T02:24:47Z"},{"alias_kind":"arxiv_version","alias_value":"0908.4541v2","created_at":"2026-05-18T02:24:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.4541","created_at":"2026-05-18T02:24:47Z"},{"alias_kind":"pith_short_12","alias_value":"ONKQFFWCPPUB","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"ONKQFFWCPPUBLHOQ","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"ONKQFFWC","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:ONKQFFWCPPUBLHOQY5WXML2IB4","target":"record","payload":{"canonical_record":{"source":{"id":"0908.4541","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-08-31T14:17:08Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"70ec3c18421a0f8273eedcb7644a7c271bcb2b5b1958371b8787a708b0bfb5ee","abstract_canon_sha256":"942e9ce657b121a98e1483e5173e10ee91eab20835891480ad4b79bf0ee260b1"},"schema_version":"1.0"},"canonical_sha256":"73550296c27be8159dd0c76d762f480f35587e811d1bd34a08d728b06d77bbab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:47.494197Z","signature_b64":"DtoG1Rgl5ew7Y90QZKRQiyRMIMoYjVNsEVWmcAzx/c7z61j10p/wwBgNiM1kDutLzSu+kbD0zrGvd2HFq/HiAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73550296c27be8159dd0c76d762f480f35587e811d1bd34a08d728b06d77bbab","last_reissued_at":"2026-05-18T02:24:47.493520Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:47.493520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.4541","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":"2026-05-18T02:24:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"luNMLKcbYYnIhbA+1cl9GBkTBERRRQ3tnt7aCMXE9clOYM55cwtN7u+D7RkwHOQosapzhOQNyiiwRNeNLmw6CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:53:18.871308Z"},"content_sha256":"28ad70ba11022e965dc4cdba6b34ecb23c80579e91a0a06e03072e92b141f78f","schema_version":"1.0","event_id":"sha256:28ad70ba11022e965dc4cdba6b34ecb23c80579e91a0a06e03072e92b141f78f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:ONKQFFWCPPUBLHOQY5WXML2IB4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fluctuation-dissipation relations far from equilibrium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jianhua Xing","submitted_at":"2009-08-31T14:17:08Z","abstract_excerpt":"The fluctuation-dissipation (F-D) theorem is a fundamental result for systems near thermodynamic equilibrium, and justifies studies between microscopic and macroscopic properties. It states that the nonequilibrium relaxation dynamics is related to the spontaneous fluctuation at equilibrium. Most processes in Nature are out of equilibrium, for which we have limited theory. Common wisdom believes the F-D theorem is violated in general for systems far from equilibrium. Recently we show that dynamics of a dissipative system described by stochastic differential equations can be mapped to that of a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.4541","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":""},"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":"2026-05-18T02:24:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"07ZuDc4LEQ8NYriQXemG2b19Fawj5JnYeEa8tYz0PstEEC3VayMOHQrizrvjQXtAOPyTlKuKARGCM1xs+MDiBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:53:18.872120Z"},"content_sha256":"91083ab89db58b86e2fbd221f91701d7bdb2cd7b3460e390b91e34e5bef758f0","schema_version":"1.0","event_id":"sha256:91083ab89db58b86e2fbd221f91701d7bdb2cd7b3460e390b91e34e5bef758f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ONKQFFWCPPUBLHOQY5WXML2IB4/bundle.json","state_url":"https://pith.science/pith/ONKQFFWCPPUBLHOQY5WXML2IB4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ONKQFFWCPPUBLHOQY5WXML2IB4/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":"2026-05-31T11:53:18Z","links":{"resolver":"https://pith.science/pith/ONKQFFWCPPUBLHOQY5WXML2IB4","bundle":"https://pith.science/pith/ONKQFFWCPPUBLHOQY5WXML2IB4/bundle.json","state":"https://pith.science/pith/ONKQFFWCPPUBLHOQY5WXML2IB4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ONKQFFWCPPUBLHOQY5WXML2IB4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:ONKQFFWCPPUBLHOQY5WXML2IB4","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":"942e9ce657b121a98e1483e5173e10ee91eab20835891480ad4b79bf0ee260b1","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-08-31T14:17:08Z","title_canon_sha256":"70ec3c18421a0f8273eedcb7644a7c271bcb2b5b1958371b8787a708b0bfb5ee"},"schema_version":"1.0","source":{"id":"0908.4541","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.4541","created_at":"2026-05-18T02:24:47Z"},{"alias_kind":"arxiv_version","alias_value":"0908.4541v2","created_at":"2026-05-18T02:24:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.4541","created_at":"2026-05-18T02:24:47Z"},{"alias_kind":"pith_short_12","alias_value":"ONKQFFWCPPUB","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"ONKQFFWCPPUBLHOQ","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"ONKQFFWC","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:91083ab89db58b86e2fbd221f91701d7bdb2cd7b3460e390b91e34e5bef758f0","target":"graph","created_at":"2026-05-18T02:24:47Z","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 fluctuation-dissipation (F-D) theorem is a fundamental result for systems near thermodynamic equilibrium, and justifies studies between microscopic and macroscopic properties. It states that the nonequilibrium relaxation dynamics is related to the spontaneous fluctuation at equilibrium. Most processes in Nature are out of equilibrium, for which we have limited theory. Common wisdom believes the F-D theorem is violated in general for systems far from equilibrium. Recently we show that dynamics of a dissipative system described by stochastic differential equations can be mapped to that of a ","authors_text":"Jianhua Xing","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-08-31T14:17:08Z","title":"Fluctuation-dissipation relations far from equilibrium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.4541","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":"sha256:28ad70ba11022e965dc4cdba6b34ecb23c80579e91a0a06e03072e92b141f78f","target":"record","created_at":"2026-05-18T02:24:47Z","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":"942e9ce657b121a98e1483e5173e10ee91eab20835891480ad4b79bf0ee260b1","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-08-31T14:17:08Z","title_canon_sha256":"70ec3c18421a0f8273eedcb7644a7c271bcb2b5b1958371b8787a708b0bfb5ee"},"schema_version":"1.0","source":{"id":"0908.4541","kind":"arxiv","version":2}},"canonical_sha256":"73550296c27be8159dd0c76d762f480f35587e811d1bd34a08d728b06d77bbab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73550296c27be8159dd0c76d762f480f35587e811d1bd34a08d728b06d77bbab","first_computed_at":"2026-05-18T02:24:47.493520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:47.493520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DtoG1Rgl5ew7Y90QZKRQiyRMIMoYjVNsEVWmcAzx/c7z61j10p/wwBgNiM1kDutLzSu+kbD0zrGvd2HFq/HiAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:47.494197Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.4541","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28ad70ba11022e965dc4cdba6b34ecb23c80579e91a0a06e03072e92b141f78f","sha256:91083ab89db58b86e2fbd221f91701d7bdb2cd7b3460e390b91e34e5bef758f0"],"state_sha256":"c5a0de3e0b009c1c7c40f5873405e839e1b4a7386f77f0dead5c4aea284f6237"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rlUEJWCXZ6mUVYHTA/zr2f2yrMh82fo4ndJ4ivZOmxVKMspdlBjBXNSrqy4y2+kNmmwP03+2TrLc+M5+n7D1Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T11:53:18.875820Z","bundle_sha256":"697d3b1a57899ce16dd3952cbd3394a6582b15aa7c8d32cbcca59e736f906828"}}