{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:E243S2DX6E63MAZQWB5632ZV6G","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":"454f935740df648390fef4d78346eacfc5060d201b8d91cae91dad588e0d981c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-07-26T13:10:23Z","title_canon_sha256":"f3edd9cd29ec1aebda672763bcfe694647f241e11fd063bc95a67889937d2a0d"},"schema_version":"1.0","source":{"id":"2607.23640","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.23640","created_at":"2026-07-28T01:23:03Z"},{"alias_kind":"arxiv_version","alias_value":"2607.23640v1","created_at":"2026-07-28T01:23:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.23640","created_at":"2026-07-28T01:23:03Z"},{"alias_kind":"pith_short_12","alias_value":"E243S2DX6E63","created_at":"2026-07-28T01:23:03Z"},{"alias_kind":"pith_short_16","alias_value":"E243S2DX6E63MAZQ","created_at":"2026-07-28T01:23:03Z"},{"alias_kind":"pith_short_8","alias_value":"E243S2DX","created_at":"2026-07-28T01:23:03Z"}],"graph_snapshots":[{"event_id":"sha256:4be9f88f400844e700c1cfcd893e72018c465daa7f401144d3ca35a20956b20d","target":"graph","created_at":"2026-07-28T01:23:03Z","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/2607.23640/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the non-equilibrium density fluctuations of a one-dimensional two-species symmetric simple exclusion process in contact with critical slow boundary reservoirs. The boundary rates are of order $1/n$, which leads to Robin boundary conditions at the macroscopic level. We prove that the coupled fluctuation field associated with the empirical densities of two species converges to a generalized Ornstein-Uhlenbeck process. The limiting process is characterized by a linear martingale problem whose coefficients reflect the combined effects of bulk diffusion, species conversion, and the boundar","authors_text":"Yong Li, Ziying Chen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-07-26T13:10:23Z","title":"Non-equilibrium fluctuations of a two-species exclusion process with slow boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23640","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":"sha256:710e57a689fbfda68abed5b5426b6acd8ad70244e322952e071e893c0bf3ef34","target":"record","created_at":"2026-07-28T01:23:03Z","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":"454f935740df648390fef4d78346eacfc5060d201b8d91cae91dad588e0d981c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-07-26T13:10:23Z","title_canon_sha256":"f3edd9cd29ec1aebda672763bcfe694647f241e11fd063bc95a67889937d2a0d"},"schema_version":"1.0","source":{"id":"2607.23640","kind":"arxiv","version":1}},"canonical_sha256":"26b9b96877f13db60330b07bedeb35f18440539909cbf9766b450a5a186fefab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26b9b96877f13db60330b07bedeb35f18440539909cbf9766b450a5a186fefab","first_computed_at":"2026-07-28T01:23:03.160219Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T01:23:03.160219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3y4r4MqQ98ltSkDjuyecKkNWHOK3NFOSoUIw75DWIK3po686B6wUokjpBGU/A3Qc2TztQ2c1BI6+SMMEnynrAA==","signature_status":"signed_v1","signed_at":"2026-07-28T01:23:03.161030Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.23640","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:710e57a689fbfda68abed5b5426b6acd8ad70244e322952e071e893c0bf3ef34","sha256:4be9f88f400844e700c1cfcd893e72018c465daa7f401144d3ca35a20956b20d"],"state_sha256":"b5a0edf607cdcfc545e5418a7607983ab044f5891eb6430f6a11442b0b900cf6"}