{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:TNNYC2KG3BNP3JNFAPZW3J7IC2","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":"5b33b49c80548b10ae43e20e261b88c4f459e86f355f6efc9330100e7d235abe","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.PR","submitted_at":"2024-04-20T18:51:01Z","title_canon_sha256":"8717ad25a70f94b49c29b5a3e2ca43434667f9495437907e4e7c583f0efbc380"},"schema_version":"1.0","source":{"id":"2404.13444","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.13444","created_at":"2026-07-05T10:29:16Z"},{"alias_kind":"arxiv_version","alias_value":"2404.13444v2","created_at":"2026-07-05T10:29:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.13444","created_at":"2026-07-05T10:29:16Z"},{"alias_kind":"pith_short_12","alias_value":"TNNYC2KG3BNP","created_at":"2026-07-05T10:29:16Z"},{"alias_kind":"pith_short_16","alias_value":"TNNYC2KG3BNP3JNF","created_at":"2026-07-05T10:29:16Z"},{"alias_kind":"pith_short_8","alias_value":"TNNYC2KG","created_at":"2026-07-05T10:29:16Z"}],"graph_snapshots":[{"event_id":"sha256:23513ae6a0f238fc0c1eac08d03265836fe510311e0fa3d49222ff6ebc31f81b","target":"graph","created_at":"2026-07-05T10:29:16Z","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/2404.13444/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent works of Barraquand and Le Doussal and Bryc, Kuznetsov, Wang, and Wesolowski gave a description of the open KPZ stationary measure as the sum of a Brownian motion and a Brownian motion reweighted by a Radon-Nikodym derivative. Subsequent work of Barraquand and Le Doussal used the Enaud-Derrida representation of the DEHP algebra to formulate the open ASEP stationary measure in terms of the sum of a random walk and a random walk reweighted by a Radon-Nikodym derivative. They show that this Radon-Nikodym derivative converges pointwise to the Radon-Nikodym derivative that characterizes the ","authors_text":"Zoe Himwich","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.PR","submitted_at":"2024-04-20T18:51:01Z","title":"Stationary Measure of the Open KPZ Equation through the Enaud-Derrida Representation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.13444","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:bdfc9a8ebdf140dc5b502d5f2aaf7ec436825f38b5b66f0cb1a80d55b74deaa9","target":"record","created_at":"2026-07-05T10:29:16Z","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":"5b33b49c80548b10ae43e20e261b88c4f459e86f355f6efc9330100e7d235abe","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.PR","submitted_at":"2024-04-20T18:51:01Z","title_canon_sha256":"8717ad25a70f94b49c29b5a3e2ca43434667f9495437907e4e7c583f0efbc380"},"schema_version":"1.0","source":{"id":"2404.13444","kind":"arxiv","version":2}},"canonical_sha256":"9b5b816946d85afda5a503f36da7e816b9610f6100173ec6b88fe51b15b53983","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b5b816946d85afda5a503f36da7e816b9610f6100173ec6b88fe51b15b53983","first_computed_at":"2026-07-05T10:29:16.765148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:29:16.765148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"es7Gp23EXaVgZKY6j3zVPvKBInA5l88j0wREToOpIxnEQEdkMgCEOe3hqmDR3shZuh6fB1f3kYrQyPQysP3CBA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:29:16.766139Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.13444","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdfc9a8ebdf140dc5b502d5f2aaf7ec436825f38b5b66f0cb1a80d55b74deaa9","sha256:23513ae6a0f238fc0c1eac08d03265836fe510311e0fa3d49222ff6ebc31f81b"],"state_sha256":"8b71798b68d80e8edbc30eec0efdcff4b9fbd40ba015b4896602dd416f9bcff8"}