{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:5OLDWPM4V523RYHQZEVP4ABSBY","short_pith_number":"pith:5OLDWPM4","canonical_record":{"source":{"id":"1409.0628","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-02T08:25:36Z","cross_cats_sorted":["math.NA","math.OC","physics.comp-ph","physics.data-an"],"title_canon_sha256":"b8009d15cde7f4fe9ebf20e001da64e1faec08c20cdbf8a8a89aadbe87d84901","abstract_canon_sha256":"eef4490ed564fe4cb1c5085af5f74f6eca50a4c7524112383795e05572c6cf02"},"schema_version":"1.0"},"canonical_sha256":"eb963b3d9caf75b8e0f0c92afe00320e1a76be27912326a3493f01522ff1fc4b","source":{"kind":"arxiv","id":"1409.0628","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0628","created_at":"2026-05-18T01:11:43Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0628v5","created_at":"2026-05-18T01:11:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0628","created_at":"2026-05-18T01:11:43Z"},{"alias_kind":"pith_short_12","alias_value":"5OLDWPM4V523","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5OLDWPM4V523RYHQ","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5OLDWPM4","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:5OLDWPM4V523RYHQZEVP4ABSBY","target":"record","payload":{"canonical_record":{"source":{"id":"1409.0628","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-02T08:25:36Z","cross_cats_sorted":["math.NA","math.OC","physics.comp-ph","physics.data-an"],"title_canon_sha256":"b8009d15cde7f4fe9ebf20e001da64e1faec08c20cdbf8a8a89aadbe87d84901","abstract_canon_sha256":"eef4490ed564fe4cb1c5085af5f74f6eca50a4c7524112383795e05572c6cf02"},"schema_version":"1.0"},"canonical_sha256":"eb963b3d9caf75b8e0f0c92afe00320e1a76be27912326a3493f01522ff1fc4b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:43.941960Z","signature_b64":"iZ5tl2q4Yy23PGfZcHasXJzHjIxtwZdIQuJPQq6eAeWf7pBn8POQFiONxytjsgDgekWgjgITt4nH0l3N/OcLAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb963b3d9caf75b8e0f0c92afe00320e1a76be27912326a3493f01522ff1fc4b","last_reissued_at":"2026-05-18T01:11:43.941633Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:43.941633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.0628","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aDFpUndkNGlGwZrj6Et8SW8Y7Nrt23XBh77UEenZfM+hG+jaTQ+0QtpLEfgRhjOOA7KjHCI77UxWEtFfnIsQCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:15:37.371934Z"},"content_sha256":"be22304020bf08ed22fe99fb2df30eb315326fecffc2249aa2f13a772559dd0b","schema_version":"1.0","event_id":"sha256:be22304020bf08ed22fe99fb2df30eb315326fecffc2249aa2f13a772559dd0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:5OLDWPM4V523RYHQZEVP4ABSBY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deterministic Mean-field Ensemble Kalman Filtering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA","math.OC","physics.comp-ph","physics.data-an"],"primary_cat":"math.PR","authors_text":"Hamidou Tembine, Kody J.H. Law, Raul Tempone","submitted_at":"2014-09-02T08:25:36Z","abstract_excerpt":"The proof of convergence of the standard ensemble Kalman filter (EnKF) from Legland etal. (2011) is extended to non-Gaussian state space models. A density-based deterministic approximation of the mean-field limit EnKF (DMFEnKF) is proposed, consisting of a PDE solver and a quadrature rule. Given a certain minimal order of convergence $\\kappa$ between the two, this extends to the deterministic filter approximation, which is therefore asymptotically superior to standard EnKF when the dimension $d<2\\kappa$. The fidelity of approximation of the true distribution is also established using an extens"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0628","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mk4oYxvi+p0sAE7BMWD7zb/Tr0+w87467DbxaSil3BF5UPoVTrKsia8hP+Ij9Y3QpkocMZ1WgTiKgFVvNIy8CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:15:37.372286Z"},"content_sha256":"dbb1a2a890c1a844b7eb1b12b77b6d2da454c6a883088b9d03c3184df5398fea","schema_version":"1.0","event_id":"sha256:dbb1a2a890c1a844b7eb1b12b77b6d2da454c6a883088b9d03c3184df5398fea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5OLDWPM4V523RYHQZEVP4ABSBY/bundle.json","state_url":"https://pith.science/pith/5OLDWPM4V523RYHQZEVP4ABSBY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5OLDWPM4V523RYHQZEVP4ABSBY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T14:15:37Z","links":{"resolver":"https://pith.science/pith/5OLDWPM4V523RYHQZEVP4ABSBY","bundle":"https://pith.science/pith/5OLDWPM4V523RYHQZEVP4ABSBY/bundle.json","state":"https://pith.science/pith/5OLDWPM4V523RYHQZEVP4ABSBY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5OLDWPM4V523RYHQZEVP4ABSBY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5OLDWPM4V523RYHQZEVP4ABSBY","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":"eef4490ed564fe4cb1c5085af5f74f6eca50a4c7524112383795e05572c6cf02","cross_cats_sorted":["math.NA","math.OC","physics.comp-ph","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-02T08:25:36Z","title_canon_sha256":"b8009d15cde7f4fe9ebf20e001da64e1faec08c20cdbf8a8a89aadbe87d84901"},"schema_version":"1.0","source":{"id":"1409.0628","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0628","created_at":"2026-05-18T01:11:43Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0628v5","created_at":"2026-05-18T01:11:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0628","created_at":"2026-05-18T01:11:43Z"},{"alias_kind":"pith_short_12","alias_value":"5OLDWPM4V523","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5OLDWPM4V523RYHQ","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5OLDWPM4","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:dbb1a2a890c1a844b7eb1b12b77b6d2da454c6a883088b9d03c3184df5398fea","target":"graph","created_at":"2026-05-18T01:11:43Z","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"},"paper":{"abstract_excerpt":"The proof of convergence of the standard ensemble Kalman filter (EnKF) from Legland etal. (2011) is extended to non-Gaussian state space models. A density-based deterministic approximation of the mean-field limit EnKF (DMFEnKF) is proposed, consisting of a PDE solver and a quadrature rule. Given a certain minimal order of convergence $\\kappa$ between the two, this extends to the deterministic filter approximation, which is therefore asymptotically superior to standard EnKF when the dimension $d<2\\kappa$. The fidelity of approximation of the true distribution is also established using an extens","authors_text":"Hamidou Tembine, Kody J.H. Law, Raul Tempone","cross_cats":["math.NA","math.OC","physics.comp-ph","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-02T08:25:36Z","title":"Deterministic Mean-field Ensemble Kalman Filtering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0628","kind":"arxiv","version":5},"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:be22304020bf08ed22fe99fb2df30eb315326fecffc2249aa2f13a772559dd0b","target":"record","created_at":"2026-05-18T01:11:43Z","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":"eef4490ed564fe4cb1c5085af5f74f6eca50a4c7524112383795e05572c6cf02","cross_cats_sorted":["math.NA","math.OC","physics.comp-ph","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-09-02T08:25:36Z","title_canon_sha256":"b8009d15cde7f4fe9ebf20e001da64e1faec08c20cdbf8a8a89aadbe87d84901"},"schema_version":"1.0","source":{"id":"1409.0628","kind":"arxiv","version":5}},"canonical_sha256":"eb963b3d9caf75b8e0f0c92afe00320e1a76be27912326a3493f01522ff1fc4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb963b3d9caf75b8e0f0c92afe00320e1a76be27912326a3493f01522ff1fc4b","first_computed_at":"2026-05-18T01:11:43.941633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:43.941633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iZ5tl2q4Yy23PGfZcHasXJzHjIxtwZdIQuJPQq6eAeWf7pBn8POQFiONxytjsgDgekWgjgITt4nH0l3N/OcLAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:43.941960Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.0628","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be22304020bf08ed22fe99fb2df30eb315326fecffc2249aa2f13a772559dd0b","sha256:dbb1a2a890c1a844b7eb1b12b77b6d2da454c6a883088b9d03c3184df5398fea"],"state_sha256":"32891b84dc67ed1e6e8135b0794a7fa9c072ab627a01519e6065dc74674b7a4d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hcyNIGNx3UnsApeaLq3wVuiW3xg6p1P4fAME1IwPqVa9fMdXoKv4zy6jpIxxgWlGKXfb28aE+w3koqBeBX35DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:15:37.374490Z","bundle_sha256":"05963c9d74a9f3ce39b870f8b74691ff95874483b7ae132ac477044754e6400e"}}