{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:W26NDU3CGIM2W72DWK6SZDVMOL","short_pith_number":"pith:W26NDU3C","canonical_record":{"source":{"id":"1610.04538","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-14T17:13:45Z","cross_cats_sorted":[],"title_canon_sha256":"618b3fd1733d0d2f99f62afe7f5ba6945da0076cb40a2f7f2f37d6b848fda633","abstract_canon_sha256":"10fd0236b3ebb7f4408da503d863653a8d94c099053577a22330cd892f8a0ccd"},"schema_version":"1.0"},"canonical_sha256":"b6bcd1d3623219ab7f43b2bd2c8eac72f206f05f6aa378f82cb265110f464620","source":{"kind":"arxiv","id":"1610.04538","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04538","created_at":"2026-05-18T00:53:58Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04538v1","created_at":"2026-05-18T00:53:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04538","created_at":"2026-05-18T00:53:58Z"},{"alias_kind":"pith_short_12","alias_value":"W26NDU3CGIM2","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"W26NDU3CGIM2W72D","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"W26NDU3C","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:W26NDU3CGIM2W72DWK6SZDVMOL","target":"record","payload":{"canonical_record":{"source":{"id":"1610.04538","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-14T17:13:45Z","cross_cats_sorted":[],"title_canon_sha256":"618b3fd1733d0d2f99f62afe7f5ba6945da0076cb40a2f7f2f37d6b848fda633","abstract_canon_sha256":"10fd0236b3ebb7f4408da503d863653a8d94c099053577a22330cd892f8a0ccd"},"schema_version":"1.0"},"canonical_sha256":"b6bcd1d3623219ab7f43b2bd2c8eac72f206f05f6aa378f82cb265110f464620","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:58.279478Z","signature_b64":"aROKZCupWN8lglP0cwK0p+yeijU6xSj5vmCBTe0js33dIotSdqDmavF169Xu/ZUsS+kgvqQJH6m/cst5PVbpCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6bcd1d3623219ab7f43b2bd2c8eac72f206f05f6aa378f82cb265110f464620","last_reissued_at":"2026-05-18T00:53:58.278949Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:58.278949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.04538","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":"2026-05-18T00:53:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3qC0wDHuyk9KUIq5MQzLeOFqjGzA7BKM07xyljpavgOPLKOMwqfZRJdox5y2H2zJ2zwKnpoRy85wDwOpGa9kDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:30:42.369052Z"},"content_sha256":"0dc74d18af43c24569cddf2fca855ca97c1af424d922ac968b75fe4a9459eba3","schema_version":"1.0","event_id":"sha256:0dc74d18af43c24569cddf2fca855ca97c1af424d922ac968b75fe4a9459eba3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:W26NDU3CGIM2W72DWK6SZDVMOL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Second-order fluctuation theory and time autocorrelation function for currents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"E.G.D. Cohen, Roman Belousov","submitted_at":"2016-10-14T17:13:45Z","abstract_excerpt":"By using recent developments for the Langevin dynamics of spatially asymmetric systems, we routinely generalize the Onsager-Machlup fluctuation theory of the second order in time. In this form, it becomes applicable to fluctuating variables, including hydrodynamic currents, in equilibrium as well as nonequilibrium steady states. From the solution of the obtained stochastic equations we derive an analytical expression for the time autocorrelation function of a general fluctuating quantity. This theoretical result is then tested in a study of a shear flow by molecular dynamics simulations. The p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04538","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":"2026-05-18T00:53:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2G/+bhwb/BibrtA3smhOq8qUMJnA0v0+Zr3WZXuVEf3wE44CHkg3n5dJduUQARLh4vxossKG52BfVG015VElDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:30:42.369681Z"},"content_sha256":"5de11b052082d5ca9b97348d48d86f39b51f582132fb5155589e305598f8b166","schema_version":"1.0","event_id":"sha256:5de11b052082d5ca9b97348d48d86f39b51f582132fb5155589e305598f8b166"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W26NDU3CGIM2W72DWK6SZDVMOL/bundle.json","state_url":"https://pith.science/pith/W26NDU3CGIM2W72DWK6SZDVMOL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W26NDU3CGIM2W72DWK6SZDVMOL/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":"2026-05-28T07:30:42Z","links":{"resolver":"https://pith.science/pith/W26NDU3CGIM2W72DWK6SZDVMOL","bundle":"https://pith.science/pith/W26NDU3CGIM2W72DWK6SZDVMOL/bundle.json","state":"https://pith.science/pith/W26NDU3CGIM2W72DWK6SZDVMOL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W26NDU3CGIM2W72DWK6SZDVMOL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:W26NDU3CGIM2W72DWK6SZDVMOL","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":"10fd0236b3ebb7f4408da503d863653a8d94c099053577a22330cd892f8a0ccd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-14T17:13:45Z","title_canon_sha256":"618b3fd1733d0d2f99f62afe7f5ba6945da0076cb40a2f7f2f37d6b848fda633"},"schema_version":"1.0","source":{"id":"1610.04538","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04538","created_at":"2026-05-18T00:53:58Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04538v1","created_at":"2026-05-18T00:53:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04538","created_at":"2026-05-18T00:53:58Z"},{"alias_kind":"pith_short_12","alias_value":"W26NDU3CGIM2","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"W26NDU3CGIM2W72D","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"W26NDU3C","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:5de11b052082d5ca9b97348d48d86f39b51f582132fb5155589e305598f8b166","target":"graph","created_at":"2026-05-18T00:53:58Z","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":"By using recent developments for the Langevin dynamics of spatially asymmetric systems, we routinely generalize the Onsager-Machlup fluctuation theory of the second order in time. In this form, it becomes applicable to fluctuating variables, including hydrodynamic currents, in equilibrium as well as nonequilibrium steady states. From the solution of the obtained stochastic equations we derive an analytical expression for the time autocorrelation function of a general fluctuating quantity. This theoretical result is then tested in a study of a shear flow by molecular dynamics simulations. The p","authors_text":"E.G.D. Cohen, Roman Belousov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-14T17:13:45Z","title":"Second-order fluctuation theory and time autocorrelation function for currents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04538","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":"sha256:0dc74d18af43c24569cddf2fca855ca97c1af424d922ac968b75fe4a9459eba3","target":"record","created_at":"2026-05-18T00:53:58Z","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":"10fd0236b3ebb7f4408da503d863653a8d94c099053577a22330cd892f8a0ccd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-14T17:13:45Z","title_canon_sha256":"618b3fd1733d0d2f99f62afe7f5ba6945da0076cb40a2f7f2f37d6b848fda633"},"schema_version":"1.0","source":{"id":"1610.04538","kind":"arxiv","version":1}},"canonical_sha256":"b6bcd1d3623219ab7f43b2bd2c8eac72f206f05f6aa378f82cb265110f464620","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6bcd1d3623219ab7f43b2bd2c8eac72f206f05f6aa378f82cb265110f464620","first_computed_at":"2026-05-18T00:53:58.278949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:58.278949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aROKZCupWN8lglP0cwK0p+yeijU6xSj5vmCBTe0js33dIotSdqDmavF169Xu/ZUsS+kgvqQJH6m/cst5PVbpCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:58.279478Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.04538","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0dc74d18af43c24569cddf2fca855ca97c1af424d922ac968b75fe4a9459eba3","sha256:5de11b052082d5ca9b97348d48d86f39b51f582132fb5155589e305598f8b166"],"state_sha256":"5d2c37d5f69c58cdcc8ae00e73d86c88e1075440bcc07a08c53b03985a0a9a08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JIzzI1xU0x2Zzs1BG/1FSN2ZGK8m+zsUYSXGdXyWgo1oth7QzjUVH/ip9hTrUFiich6BlHojD6RPCPMDNpARBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T07:30:42.372505Z","bundle_sha256":"a0fb4c7e14773ce3fd82ca3d8e113952e414f8478c5bd8f2b264446617929a47"}}