{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7OV3LVUM6P6IFYRABD3Q2A5K5E","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":"4dd782984e64577bf2e013b67bb4a50eba3be1305a6d24b7d52242aff20b3321","cross_cats_sorted":["cs.NA","math.DS","math.NA","math.OC","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-09-15T17:29:03Z","title_canon_sha256":"25e0b8d8f44a73d719418973d2bc579b3fadc59884fc586f0b81e9a0c34cf47b"},"schema_version":"1.0","source":{"id":"2409.09800","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.09800","created_at":"2026-07-05T10:10:43Z"},{"alias_kind":"arxiv_version","alias_value":"2409.09800v2","created_at":"2026-07-05T10:10:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.09800","created_at":"2026-07-05T10:10:43Z"},{"alias_kind":"pith_short_12","alias_value":"7OV3LVUM6P6I","created_at":"2026-07-05T10:10:43Z"},{"alias_kind":"pith_short_16","alias_value":"7OV3LVUM6P6IFYRA","created_at":"2026-07-05T10:10:43Z"},{"alias_kind":"pith_short_8","alias_value":"7OV3LVUM","created_at":"2026-07-05T10:10:43Z"}],"graph_snapshots":[{"event_id":"sha256:1ffb91fafca855320abd9ff641c96b4cdadb2fd16cfcff4fd44f42c94e9057ed","target":"graph","created_at":"2026-07-05T10:10:43Z","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/2409.09800/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The filtering distribution captures the statistics of the state of a dynamical system from partial and noisy observations. Classical particle filters provably approximate this distribution in quite general settings; however they behave poorly for high dimensional problems, suffering weight collapse. This issue is circumvented by the ensemble Kalman filter which is an equal-weight interacting particle system. However, this finite particle system is only proven to approximate the true filter in the linear Gaussian case. In practice, however, it is applied in much broader settings; as a result, e","authors_text":"Andrew M. Stuart, Edoardo Calvello, Pierre Monmarch\\'e, Urbain Vaes","cross_cats":["cs.NA","math.DS","math.NA","math.OC","stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-09-15T17:29:03Z","title":"Accuracy of the Ensemble Kalman Filter in the Near-Linear Setting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.09800","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":"sha256:79caa33a1f3ce3c9563bd0d0f558dab0704de44269dd1fb35f3f0f5b09c15663","target":"record","created_at":"2026-07-05T10:10:43Z","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":"4dd782984e64577bf2e013b67bb4a50eba3be1305a6d24b7d52242aff20b3321","cross_cats_sorted":["cs.NA","math.DS","math.NA","math.OC","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-09-15T17:29:03Z","title_canon_sha256":"25e0b8d8f44a73d719418973d2bc579b3fadc59884fc586f0b81e9a0c34cf47b"},"schema_version":"1.0","source":{"id":"2409.09800","kind":"arxiv","version":2}},"canonical_sha256":"fbabb5d68cf3fc82e22008f70d03aae90a90a58ce4b221760965cc156caa9ffb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbabb5d68cf3fc82e22008f70d03aae90a90a58ce4b221760965cc156caa9ffb","first_computed_at":"2026-07-05T10:10:43.975215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:10:43.975215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LehfAWgUQMEsyiXCbtLZIwdWAg7621ITcT5I0SbL49imIvyNXIa9Im0+k06a78eVsX3cKXmzSYbJe8p74azPDw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:10:43.975616Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.09800","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79caa33a1f3ce3c9563bd0d0f558dab0704de44269dd1fb35f3f0f5b09c15663","sha256:1ffb91fafca855320abd9ff641c96b4cdadb2fd16cfcff4fd44f42c94e9057ed"],"state_sha256":"e27b28dd61aef4e913c63c7e2850f48a0083503ddaadff7431690e364c41f0a2"}