{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HSZPNVMQSAS2EM5QWQXF6BDMKA","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":"51eda74f444f03b45ec2731dae46234807830374b9005e654e8ac0e614f12d7d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-05-02T08:14:02Z","title_canon_sha256":"9d4e87e605f81d867250a47727e661bfe1d183c0b7688408aabeb311819f4cdc"},"schema_version":"1.0","source":{"id":"2505.01095","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.01095","created_at":"2026-07-05T10:57:45Z"},{"alias_kind":"arxiv_version","alias_value":"2505.01095v1","created_at":"2026-07-05T10:57:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.01095","created_at":"2026-07-05T10:57:45Z"},{"alias_kind":"pith_short_12","alias_value":"HSZPNVMQSAS2","created_at":"2026-07-05T10:57:45Z"},{"alias_kind":"pith_short_16","alias_value":"HSZPNVMQSAS2EM5Q","created_at":"2026-07-05T10:57:45Z"},{"alias_kind":"pith_short_8","alias_value":"HSZPNVMQ","created_at":"2026-07-05T10:57:45Z"}],"graph_snapshots":[{"event_id":"sha256:277da321c623e4f530bc94801b31e89816f8d887a3345647b9142c3e371dbbb5","target":"graph","created_at":"2026-07-05T10:57:45Z","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/2505.01095/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the moderate deviation principles for the fluctuation fields of the facilitated exclusion process (FEP) in one dimension when the process starts from its stationary measure, both in the symmetric and asymmetric cases. The main step is to prove a super-exponential version of the Boltzmann-Gibbs principle, which relies on the logarithmic Sobolev inequality for the FEP.","authors_text":"Linjie Zhao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-05-02T08:14:02Z","title":"Moderate deviations for the facilitated exclusion process in equilibrium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.01095","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":"sha256:5dfd28db0c5d82dd391fdd35a466f9e6cf395b48456683438d4398a03221e95c","target":"record","created_at":"2026-07-05T10:57:45Z","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":"51eda74f444f03b45ec2731dae46234807830374b9005e654e8ac0e614f12d7d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-05-02T08:14:02Z","title_canon_sha256":"9d4e87e605f81d867250a47727e661bfe1d183c0b7688408aabeb311819f4cdc"},"schema_version":"1.0","source":{"id":"2505.01095","kind":"arxiv","version":1}},"canonical_sha256":"3cb2f6d5909025a233b0b42e5f046c50388b65e6993d0e1fa26d488042a280ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cb2f6d5909025a233b0b42e5f046c50388b65e6993d0e1fa26d488042a280ae","first_computed_at":"2026-07-05T10:57:45.036980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:57:45.036980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pe/GPMVoJ04LCRYqjFV5BPVvBbAnnv9udR+qfKON4Z+wvIddidd8ZxEUDSKbaVU1WmGQ1t6B51JbBxHHWMbECw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:57:45.037528Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.01095","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5dfd28db0c5d82dd391fdd35a466f9e6cf395b48456683438d4398a03221e95c","sha256:277da321c623e4f530bc94801b31e89816f8d887a3345647b9142c3e371dbbb5"],"state_sha256":"fe68451f7ee28fc2b14d378ed4861053fc16d4a67eb4560d58a88749b1fb9abb"}