{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2F355S3OGLQONHDHZ5P4FQKVOW","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":"adb89d0c6c75bf49fc51fe8c198bec1e8b2422e47a55f530607f006e54b369ee","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-11-09T16:38:25Z","title_canon_sha256":"ad4327d4d4ea733d09c1b1cd6f74ad07d6009f6c3b612436469f3bf4bd3af8e1"},"schema_version":"1.0","source":{"id":"1211.2181","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2181","created_at":"2026-05-18T03:12:48Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2181v3","created_at":"2026-05-18T03:12:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2181","created_at":"2026-05-18T03:12:48Z"},{"alias_kind":"pith_short_12","alias_value":"2F355S3OGLQO","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2F355S3OGLQONHDH","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2F355S3O","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:1271ffb30fe53193cda9492d271854a4f99c97f405637ab0f2d57d5fc1192079","target":"graph","created_at":"2026-05-18T03:12:48Z","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":"Strong interaction with other particles or feedback from the medium on a Brownian particle entail memory effects in the effective dynamics. We discuss the extension of the fluctuation-dissipation theorem to nonequilibrium Langevin systems with memory. An important application is to the extension of the Sutherland-Einstein relation between diffusion and mobility. Nonequilibrium corrections include the time-correlation between the dynamical activity and the velocity of the particle, which in turn leads to information about the correlations between the driving force and the particle's displacemen","authors_text":"C. Maes, F. van Wijland, P. Visco, S. Safaverdi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-11-09T16:38:25Z","title":"Fluctuation-response relations for nonequilibrium diffusions with memory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2181","kind":"arxiv","version":3},"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":"sha256:1f28f8489d1ebc3cefda2110bf36adef031e3a70c8dbde66debe5addbd60f583","target":"record","created_at":"2026-05-18T03:12:48Z","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":"adb89d0c6c75bf49fc51fe8c198bec1e8b2422e47a55f530607f006e54b369ee","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-11-09T16:38:25Z","title_canon_sha256":"ad4327d4d4ea733d09c1b1cd6f74ad07d6009f6c3b612436469f3bf4bd3af8e1"},"schema_version":"1.0","source":{"id":"1211.2181","kind":"arxiv","version":3}},"canonical_sha256":"d177decb6e32e0e69c67cf5fc2c15575a90e09d6caff7a168dc8f002bfa24ce8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d177decb6e32e0e69c67cf5fc2c15575a90e09d6caff7a168dc8f002bfa24ce8","first_computed_at":"2026-05-18T03:12:48.470067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:48.470067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ryQaVOsKZ/yo/pzHJF1dXhQimCRXehh/ZxfRIgxCdXDynSSYbC6WASWXuQ1jkIIV02jKqHxdUx5QD4GtjxVlCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:48.470504Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.2181","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f28f8489d1ebc3cefda2110bf36adef031e3a70c8dbde66debe5addbd60f583","sha256:1271ffb30fe53193cda9492d271854a4f99c97f405637ab0f2d57d5fc1192079"],"state_sha256":"badddacb4e0d2f0c1829a42c2427ecb19677e56ad7ba7b05e940acca208e5758"}