{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YNAQH54DPHAJEJ726HSVJKHXBB","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":"eafe953e1b37b480025c10e0be6c965748ac2c245362c18b4f7d2261c3e5b2ff","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-19T12:32:20Z","title_canon_sha256":"b6984292c14aec1029deb559d74671e95682249bc19898d4ac290fbcfbfe3f90"},"schema_version":"1.0","source":{"id":"1810.08463","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.08463","created_at":"2026-06-04T20:13:31Z"},{"alias_kind":"arxiv_version","alias_value":"1810.08463v2","created_at":"2026-06-04T20:13:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.08463","created_at":"2026-06-04T20:13:31Z"},{"alias_kind":"pith_short_12","alias_value":"YNAQH54DPHAJ","created_at":"2026-06-04T20:13:31Z"},{"alias_kind":"pith_short_16","alias_value":"YNAQH54DPHAJEJ72","created_at":"2026-06-04T20:13:31Z"},{"alias_kind":"pith_short_8","alias_value":"YNAQH54D","created_at":"2026-06-04T20:13:31Z"}],"graph_snapshots":[{"event_id":"sha256:4bf213900dfcf9bd1298bb7bd71135e010d69540f10aced93c47a6682be63c0c","target":"graph","created_at":"2026-06-04T20:13:31Z","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/1810.08463/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The ensemble Kalman inversion is widely used in practice to estimate unknown parameters from noisy measurement data. Its low computational costs, straightforward implementation, and non-intrusive nature makes the method appealing in various areas of application. We present a complete analysis of the ensemble Kalman inversion with perturbed observations for a fixed ensemble size when applied to linear inverse problems. The well-posedness and convergence results are based on the continuous time scaling limits of the method. The resulting coupled system of stochastic differential equations allows","authors_text":"Claudia Schillings, Dirk Bl\\\"omker, Philipp Wacker, Simon Weissmann","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-19T12:32:20Z","title":"Well Posedness and Convergence Analysis of the Ensemble Kalman Inversion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.08463","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":"sha256:35ab4bb5e3368ea0773268bc1494fe31e0ca0b2eae0def8934b61badad9134b1","target":"record","created_at":"2026-06-04T20:13:31Z","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":"eafe953e1b37b480025c10e0be6c965748ac2c245362c18b4f7d2261c3e5b2ff","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-19T12:32:20Z","title_canon_sha256":"b6984292c14aec1029deb559d74671e95682249bc19898d4ac290fbcfbfe3f90"},"schema_version":"1.0","source":{"id":"1810.08463","kind":"arxiv","version":2}},"canonical_sha256":"c34103f78379c09227faf1e554a8f7084bfebd21af0e65bd6df6253e0e6ebbe7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c34103f78379c09227faf1e554a8f7084bfebd21af0e65bd6df6253e0e6ebbe7","first_computed_at":"2026-06-04T20:13:31.252164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T20:13:31.252164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pwATUHvgvC9AwWcCOmn7QZ3FVnBfla5hGwZYOqp5arTAXGepEOa+7RHUjYGG2pTGhtJyEXRLhOiZRJxRN81FCQ==","signature_status":"signed_v1","signed_at":"2026-06-04T20:13:31.252611Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.08463","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35ab4bb5e3368ea0773268bc1494fe31e0ca0b2eae0def8934b61badad9134b1","sha256:4bf213900dfcf9bd1298bb7bd71135e010d69540f10aced93c47a6682be63c0c"],"state_sha256":"f7275a4e2519df33c9b202df1feb967a935e7b9301677f0a018bac59c50bd41a"}