{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KNW5Q3DESQTTU6RGVJ7DVV4ZKA","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":"86bef5ab56cc580bf36a50d683eb516386e4a72aeb0975dd9fcfced6c80d8e41","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-05-30T17:07:39Z","title_canon_sha256":"bbebc484bf1558eaa5976de13c167981fb3c8e690d675c92232fcb0632d1a053"},"schema_version":"1.0","source":{"id":"1605.09329","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.09329","created_at":"2026-05-18T01:03:26Z"},{"alias_kind":"arxiv_version","alias_value":"1605.09329v2","created_at":"2026-05-18T01:03:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.09329","created_at":"2026-05-18T01:03:26Z"},{"alias_kind":"pith_short_12","alias_value":"KNW5Q3DESQTT","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KNW5Q3DESQTTU6RG","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KNW5Q3DE","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:9e1ec60058f671563a36614b0f85ae59a1ad582db8e71224cf702bdcbdd0b0b2","target":"graph","created_at":"2026-05-18T01:03:26Z","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":"The Ensemble Kalman filter is a sophisticated and powerful data assimilation method for filtering high dimensional problems arising in fluid mechanics and geophysical sciences. This Monte Carlo method can be interpreted as a mean-field McKean-Vlasov type particle interpretation of the Kalman-Bucy diffusions. In contrast to more conventional particle filters and nonlinear Markov processes these models are designed in terms of a diffusion process with a diffusion matrix that depends on particle covariance matrices. Besides some recent advances on the stability of nonlinear Langevin type diffusio","authors_text":"Julian Tugaut, Pierre Del Moral","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-05-30T17:07:39Z","title":"On the stability and the uniform propagation of chaos properties of Ensemble Kalman-Bucy filters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.09329","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:f2ff58cac8ada4e9035c735d1e800bce1a074acb3c8efa16131f4d8e64b7b994","target":"record","created_at":"2026-05-18T01:03:26Z","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":"86bef5ab56cc580bf36a50d683eb516386e4a72aeb0975dd9fcfced6c80d8e41","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-05-30T17:07:39Z","title_canon_sha256":"bbebc484bf1558eaa5976de13c167981fb3c8e690d675c92232fcb0632d1a053"},"schema_version":"1.0","source":{"id":"1605.09329","kind":"arxiv","version":2}},"canonical_sha256":"536dd86c6494273a7a26aa7e3ad79950295189de9b07538205099919ddd3ee35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"536dd86c6494273a7a26aa7e3ad79950295189de9b07538205099919ddd3ee35","first_computed_at":"2026-05-18T01:03:26.371037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:26.371037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DHEf9RVnJFrtZGi7wlanAdgzWBl32L3XxiTapoaamsnwkcmzXoDHZWvu8kBzOn51CBD1KOdaW2mg3MH5ZgY6CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:26.371718Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.09329","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2ff58cac8ada4e9035c735d1e800bce1a074acb3c8efa16131f4d8e64b7b994","sha256:9e1ec60058f671563a36614b0f85ae59a1ad582db8e71224cf702bdcbdd0b0b2"],"state_sha256":"788325435e2aa70e4cad3e61354ad4180ae0af0cba7beca9bd79d12255f234f4"}