{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:H6UO7NO2QJWSLZAN2SNSF6PIKU","short_pith_number":"pith:H6UO7NO2","canonical_record":{"source":{"id":"2402.14078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-21T19:09:49Z","cross_cats_sorted":["math.OC","math.PR"],"title_canon_sha256":"1e2c32cd532b99ea7502b0e39faea94154e6df15f4dc81ea36ef02fb41e69cd3","abstract_canon_sha256":"e30e60b4c58c66f396f5635944001855ffe3c33717a54ec71d0f6c69fe91ff4c"},"schema_version":"1.0"},"canonical_sha256":"3fa8efb5da826d25e40dd49b22f9e85512692e0e1b2961e8507f0a0a337b16c6","source":{"kind":"arxiv","id":"2402.14078","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.14078","created_at":"2026-07-05T07:48:05Z"},{"alias_kind":"arxiv_version","alias_value":"2402.14078v1","created_at":"2026-07-05T07:48:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.14078","created_at":"2026-07-05T07:48:05Z"},{"alias_kind":"pith_short_12","alias_value":"H6UO7NO2QJWS","created_at":"2026-07-05T07:48:05Z"},{"alias_kind":"pith_short_16","alias_value":"H6UO7NO2QJWSLZAN","created_at":"2026-07-05T07:48:05Z"},{"alias_kind":"pith_short_8","alias_value":"H6UO7NO2","created_at":"2026-07-05T07:48:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:H6UO7NO2QJWSLZAN2SNSF6PIKU","target":"record","payload":{"canonical_record":{"source":{"id":"2402.14078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-21T19:09:49Z","cross_cats_sorted":["math.OC","math.PR"],"title_canon_sha256":"1e2c32cd532b99ea7502b0e39faea94154e6df15f4dc81ea36ef02fb41e69cd3","abstract_canon_sha256":"e30e60b4c58c66f396f5635944001855ffe3c33717a54ec71d0f6c69fe91ff4c"},"schema_version":"1.0"},"canonical_sha256":"3fa8efb5da826d25e40dd49b22f9e85512692e0e1b2961e8507f0a0a337b16c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:48:05.568640Z","signature_b64":"2npL4mS0PXq2IrI6S/yRm0PTGrNJgnN+Zxc8dYjF+TpXc6Qd5gyTcZYvKQV+mJAXDijGtneaYI9zCXkzoYqUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fa8efb5da826d25e40dd49b22f9e85512692e0e1b2961e8507f0a0a337b16c6","last_reissued_at":"2026-07-05T07:48:05.568155Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:48:05.568155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.14078","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:48:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e1z+iGpR+K2AS1DNAUBZfg0XMuZbvP9hmtSgYMKTKdGSQocspcdf9q8XHIhnf9kpLoQUkmjxx3ebkC7wPAiDBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T18:28:26.750933Z"},"content_sha256":"fde399e6f05f1f393fc948dba460471c376aaca183d1a66ee2282f5c8c239ea9","schema_version":"1.0","event_id":"sha256:fde399e6f05f1f393fc948dba460471c376aaca183d1a66ee2282f5c8c239ea9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:H6UO7NO2QJWSLZAN2SNSF6PIKU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A unified framework for the analysis of accuracy and stability of a class of approximate Gaussian filters for the Navier-Stokes Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC","math.PR"],"primary_cat":"math.AP","authors_text":"Animikh Biswas, Michal Branicki","submitted_at":"2024-02-21T19:09:49Z","abstract_excerpt":"Bayesian state estimation of a dynamical system utilising a stream of noisy measurements is important in many geophysical and engineering applications. We establish rigorous results on (time-asymptotic) accuracy and stability of these algorithms with general covariance and observation operators. The accuracy and stability results for EnKF and EnSRKF for dissipative PDEs are, to the best of our knowledge, completely new in this general setting. It turns out that a hitherto unexploited cancellation property involving the ensemble covariance and observation operators and the concept of covariance"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.14078","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2402.14078/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:48:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tvqSclwyzFeo/5+VLyl3CoyYrojVJWB5bm4KXx8kPtoVrP5wolKab2q5lwHhHs6GXVKsMOzk4j5VcWnxrDF9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T18:28:26.751810Z"},"content_sha256":"a0a76934ab7c244242accbc68efcda0a965be4b7511401b9a373fe22fd078fed","schema_version":"1.0","event_id":"sha256:a0a76934ab7c244242accbc68efcda0a965be4b7511401b9a373fe22fd078fed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H6UO7NO2QJWSLZAN2SNSF6PIKU/bundle.json","state_url":"https://pith.science/pith/H6UO7NO2QJWSLZAN2SNSF6PIKU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H6UO7NO2QJWSLZAN2SNSF6PIKU/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":"2026-08-16T18:28:26Z","links":{"resolver":"https://pith.science/pith/H6UO7NO2QJWSLZAN2SNSF6PIKU","bundle":"https://pith.science/pith/H6UO7NO2QJWSLZAN2SNSF6PIKU/bundle.json","state":"https://pith.science/pith/H6UO7NO2QJWSLZAN2SNSF6PIKU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H6UO7NO2QJWSLZAN2SNSF6PIKU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:H6UO7NO2QJWSLZAN2SNSF6PIKU","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":"e30e60b4c58c66f396f5635944001855ffe3c33717a54ec71d0f6c69fe91ff4c","cross_cats_sorted":["math.OC","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-21T19:09:49Z","title_canon_sha256":"1e2c32cd532b99ea7502b0e39faea94154e6df15f4dc81ea36ef02fb41e69cd3"},"schema_version":"1.0","source":{"id":"2402.14078","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.14078","created_at":"2026-07-05T07:48:05Z"},{"alias_kind":"arxiv_version","alias_value":"2402.14078v1","created_at":"2026-07-05T07:48:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.14078","created_at":"2026-07-05T07:48:05Z"},{"alias_kind":"pith_short_12","alias_value":"H6UO7NO2QJWS","created_at":"2026-07-05T07:48:05Z"},{"alias_kind":"pith_short_16","alias_value":"H6UO7NO2QJWSLZAN","created_at":"2026-07-05T07:48:05Z"},{"alias_kind":"pith_short_8","alias_value":"H6UO7NO2","created_at":"2026-07-05T07:48:05Z"}],"graph_snapshots":[{"event_id":"sha256:a0a76934ab7c244242accbc68efcda0a965be4b7511401b9a373fe22fd078fed","target":"graph","created_at":"2026-07-05T07:48:05Z","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/2402.14078/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bayesian state estimation of a dynamical system utilising a stream of noisy measurements is important in many geophysical and engineering applications. We establish rigorous results on (time-asymptotic) accuracy and stability of these algorithms with general covariance and observation operators. The accuracy and stability results for EnKF and EnSRKF for dissipative PDEs are, to the best of our knowledge, completely new in this general setting. It turns out that a hitherto unexploited cancellation property involving the ensemble covariance and observation operators and the concept of covariance","authors_text":"Animikh Biswas, Michal Branicki","cross_cats":["math.OC","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-21T19:09:49Z","title":"A unified framework for the analysis of accuracy and stability of a class of approximate Gaussian filters for the Navier-Stokes Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.14078","kind":"arxiv","version":1},"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:fde399e6f05f1f393fc948dba460471c376aaca183d1a66ee2282f5c8c239ea9","target":"record","created_at":"2026-07-05T07:48:05Z","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":"e30e60b4c58c66f396f5635944001855ffe3c33717a54ec71d0f6c69fe91ff4c","cross_cats_sorted":["math.OC","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-21T19:09:49Z","title_canon_sha256":"1e2c32cd532b99ea7502b0e39faea94154e6df15f4dc81ea36ef02fb41e69cd3"},"schema_version":"1.0","source":{"id":"2402.14078","kind":"arxiv","version":1}},"canonical_sha256":"3fa8efb5da826d25e40dd49b22f9e85512692e0e1b2961e8507f0a0a337b16c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fa8efb5da826d25e40dd49b22f9e85512692e0e1b2961e8507f0a0a337b16c6","first_computed_at":"2026-07-05T07:48:05.568155Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:48:05.568155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2npL4mS0PXq2IrI6S/yRm0PTGrNJgnN+Zxc8dYjF+TpXc6Qd5gyTcZYvKQV+mJAXDijGtneaYI9zCXkzoYqUDw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:48:05.568640Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.14078","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fde399e6f05f1f393fc948dba460471c376aaca183d1a66ee2282f5c8c239ea9","sha256:a0a76934ab7c244242accbc68efcda0a965be4b7511401b9a373fe22fd078fed"],"state_sha256":"136f2af845955cf763f9e89145c1d7cbf48d20ecc5e4388b9b6ec1e965cdafdd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cj8DbLXp1U/L2855ToBRD6SKH23fZ7JbQ5KiIUXBRkhWkMU2eszYRp/1QGffmUfWKIy6zw5rNLgEFSuLJJceCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T18:28:26.835176Z","bundle_sha256":"586d04687628dddc76c71ceb1a88b1718821206dab0e7232136688db80b2938e"}}