{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:GS3OWUUFALPKKGX37JONYGMH6C","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":"663034d38c6709c574fbdf037ad32f1bc1d589f7d9112f67b391a88d53eb9435","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-04-12T06:11:55Z","title_canon_sha256":"f15ad454b603ff92e2b6c4d2ec4cbdff7e6395d886058b1ebf1cf7c3a3b071b6"},"schema_version":"1.0","source":{"id":"2104.05222","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.05222","created_at":"2026-06-19T16:12:11Z"},{"alias_kind":"arxiv_version","alias_value":"2104.05222v2","created_at":"2026-06-19T16:12:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.05222","created_at":"2026-06-19T16:12:11Z"},{"alias_kind":"pith_short_12","alias_value":"GS3OWUUFALPK","created_at":"2026-06-19T16:12:11Z"},{"alias_kind":"pith_short_16","alias_value":"GS3OWUUFALPKKGX3","created_at":"2026-06-19T16:12:11Z"},{"alias_kind":"pith_short_8","alias_value":"GS3OWUUF","created_at":"2026-06-19T16:12:11Z"}],"graph_snapshots":[{"event_id":"sha256:4a3e9987b6df303601d7d87998e4b30331c57511dd39e2486d6af2a715c9a21a","target":"graph","created_at":"2026-06-19T16:12:11Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2104.05222/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we derive a generalized second fluctuation-dissipation theorem (FDT) for stochastic dynamical systems in the steady state. The established theory is built upon the Mori-type generalized Langevin equation for stochastic dynamical systems and only uses the properties of the Kolmogorov operator. The new second FDT expresses the memory kernel of the generalized Langevin equation as the correlation function of the fluctuation force plus an additional term. In particular, we show that for nonequilibrium states such as heat transport between two thermostats with different temperatures,","authors_text":"Changho Kim, Huan Lei, Yuanran Zhu","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-04-12T06:11:55Z","title":"Generalized second fluctuation-dissipation theorem in the nonequilibrium steady state: Theory and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.05222","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":"sha256:8fad9bd6eac30088891be892d550a7538efbb4f2766dd617c758fb0110d57ee7","target":"record","created_at":"2026-06-19T16:12:11Z","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":"663034d38c6709c574fbdf037ad32f1bc1d589f7d9112f67b391a88d53eb9435","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2021-04-12T06:11:55Z","title_canon_sha256":"f15ad454b603ff92e2b6c4d2ec4cbdff7e6395d886058b1ebf1cf7c3a3b071b6"},"schema_version":"1.0","source":{"id":"2104.05222","kind":"arxiv","version":2}},"canonical_sha256":"34b6eb528502dea51afbfa5cdc1987f0ae3b7fad025fb3865090cb83205fb499","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34b6eb528502dea51afbfa5cdc1987f0ae3b7fad025fb3865090cb83205fb499","first_computed_at":"2026-06-19T16:12:11.985384Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:11.985384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bAJBFqshAFF5hObOkpPOmj7d2l6qJLb/DNDtTirpwF0O85ALkHL27AaON3B1Slj8ffRGSPC8Uzuseo+smyPICg==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:11.985737Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.05222","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fad9bd6eac30088891be892d550a7538efbb4f2766dd617c758fb0110d57ee7","sha256:4a3e9987b6df303601d7d87998e4b30331c57511dd39e2486d6af2a715c9a21a"],"state_sha256":"e6086c245d7951910cc8dd6d8a5055fc28a547fdc97e7fa4aacf52dd40cbbdf8"}