{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OIA34AZ4XU54DMPMMP7HZRZCNM","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":"d458d4baea5057a08bf27ee8a0be710fd7ecc655005d330c0d381e9c3519dbb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-09-10T18:53:48Z","title_canon_sha256":"de0161e23bcec453638685a24b323bd9b2684e5ffcfe00ae72006f39464328e6"},"schema_version":"1.0","source":{"id":"1509.03273","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03273","created_at":"2026-05-18T01:15:44Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03273v2","created_at":"2026-05-18T01:15:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03273","created_at":"2026-05-18T01:15:44Z"},{"alias_kind":"pith_short_12","alias_value":"OIA34AZ4XU54","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OIA34AZ4XU54DMPM","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OIA34AZ4","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:a5835e34492dacc666705dbac7a3264889881b7347a6e343b45d1b0a772dc527","target":"graph","created_at":"2026-05-18T01:15:44Z","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":"In stochastic systems with weak noise, the logarithm of the stationary distribution becomes proportional to a large deviation rate function called the quasi-potential. The quasi-potential, and its characterization through a variational problem, lies at the core of the Freidlin-Wentzell large deviations theory%.~\\cite{freidlin1984}.In many interacting particle systems, the particle density is described by fluctuating hydrodynamics governed by Macroscopic Fluctuation Theory%, ~\\cite{bertini2014},which formally fits within Freidlin-Wentzell's framework with a weak noise proportional to $1/\\sqrt{N","authors_text":"Cesare Nardini (Phys-ENS), Freddy Bouchet (Phys-ENS), Krzysztof Gawedzki (Phys-ENS)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-09-10T18:53:48Z","title":"Perturbative calculation of quasi-potential in non-equilibrium diffusions: a mean-field example"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03273","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:b4299931d8f1f1004f73d9720be68370f10f3cacbc10a57b5a9b39b65288b6b0","target":"record","created_at":"2026-05-18T01:15:44Z","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":"d458d4baea5057a08bf27ee8a0be710fd7ecc655005d330c0d381e9c3519dbb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-09-10T18:53:48Z","title_canon_sha256":"de0161e23bcec453638685a24b323bd9b2684e5ffcfe00ae72006f39464328e6"},"schema_version":"1.0","source":{"id":"1509.03273","kind":"arxiv","version":2}},"canonical_sha256":"7201be033cbd3bc1b1ec63fe7cc7226b1b3247d6f35d8a330d177e9aa2f65791","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7201be033cbd3bc1b1ec63fe7cc7226b1b3247d6f35d8a330d177e9aa2f65791","first_computed_at":"2026-05-18T01:15:44.664639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:44.664639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z1Hu/YllBte/lFyNPQLC/K4GNvQYEi+PE2K8a/Lk/vU7T/aWgcodnFPM3sw/bURwH0KReFoco9qKL+CQMcwJAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:44.665250Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03273","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4299931d8f1f1004f73d9720be68370f10f3cacbc10a57b5a9b39b65288b6b0","sha256:a5835e34492dacc666705dbac7a3264889881b7347a6e343b45d1b0a772dc527"],"state_sha256":"9f7b8adcd3588e3fc9182f112a52d329bb8b72392d615cafde9f98c6c0c64907"}