{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:HMYHGH2CAHG2YKC6J5Q7BGUENZ","short_pith_number":"pith:HMYHGH2C","canonical_record":{"source":{"id":"1110.2527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-10-11T23:16:35Z","cross_cats_sorted":["physics.ao-ph","physics.data-an","physics.flu-dyn"],"title_canon_sha256":"c401e01364375e3e60192f9e1e30abc5c120a3708dfc824e2ee86ccc9f7b9626","abstract_canon_sha256":"d8c19c424dfc871857638f19d9f8083d80c14a09cb85e636404b6885b9997597"},"schema_version":"1.0"},"canonical_sha256":"3b30731f4201cdac285e4f61f09a846e70cfe15eff392c32586e11749556e0fa","source":{"kind":"arxiv","id":"1110.2527","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2527","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2527v1","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2527","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"HMYHGH2CAHG2","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HMYHGH2CAHG2YKC6","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HMYHGH2C","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:HMYHGH2CAHG2YKC6J5Q7BGUENZ","target":"record","payload":{"canonical_record":{"source":{"id":"1110.2527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-10-11T23:16:35Z","cross_cats_sorted":["physics.ao-ph","physics.data-an","physics.flu-dyn"],"title_canon_sha256":"c401e01364375e3e60192f9e1e30abc5c120a3708dfc824e2ee86ccc9f7b9626","abstract_canon_sha256":"d8c19c424dfc871857638f19d9f8083d80c14a09cb85e636404b6885b9997597"},"schema_version":"1.0"},"canonical_sha256":"3b30731f4201cdac285e4f61f09a846e70cfe15eff392c32586e11749556e0fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:08.694917Z","signature_b64":"KjXdfsH/Zls+4vIMvn5m/c0ylZfS9CsT7XMPRA7XerZUd4LMp6Z0D6kmHs7424rJNB2uAY72yovPY6THsLYvBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b30731f4201cdac285e4f61f09a846e70cfe15eff392c32586e11749556e0fa","last_reissued_at":"2026-05-18T04:11:08.694213Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:08.694213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.2527","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":"2026-05-18T04:11:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e5kZVzhvM55btaSZLoALTcYILEonYdhYgwCPoGLSgjc20GmAKp2j7bl4QqS/z9dZ2wLm8yAu4C/GCsV3sGCqAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:46:02.021991Z"},"content_sha256":"1dcfde03a84031ec4298d7e81c0d66845ae2d159b62d0b96c33b349a251f6a1d","schema_version":"1.0","event_id":"sha256:1dcfde03a84031ec4298d7e81c0d66845ae2d159b62d0b96c33b349a251f6a1d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:HMYHGH2CAHG2YKC6J5Q7BGUENZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of Filters for the Navier-Stokes Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.ao-ph","physics.data-an","physics.flu-dyn"],"primary_cat":"math.OC","authors_text":"A. M. Stuart, C. E. A. Brett, D. S. McCormick, K. F. Lam, K. J. H. Law, M. R. Scott","submitted_at":"2011-10-11T23:16:35Z","abstract_excerpt":"Data assimilation methodologies are designed to incorporate noisy observations of a physical system into an underlying model in order to infer the properties of the state of the system. Filters refer to a class of data assimilation algorithms designed to update the estimation of the state in a on-line fashion, as data is acquired sequentially. For linear problems subject to Gaussian noise filtering can be performed exactly using the Kalman filter. For nonlinear systems it can be approximated in a systematic way by particle filters. However in high dimensions these particle filtering methods ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2527","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":""},"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":"2026-05-18T04:11:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OUuRAhtd0PFQGomn2nAHOPEvy8lNPUI0wTFX8Eg+iVEcEWJWPBj96aRoKBZQKaEiQm2aUd1ZAGOfxEVceTZGDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:46:02.022675Z"},"content_sha256":"5983a2f1edec25eb957dd8cab33bdeae0205cd80d8679ba0b6b943b5a8749126","schema_version":"1.0","event_id":"sha256:5983a2f1edec25eb957dd8cab33bdeae0205cd80d8679ba0b6b943b5a8749126"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HMYHGH2CAHG2YKC6J5Q7BGUENZ/bundle.json","state_url":"https://pith.science/pith/HMYHGH2CAHG2YKC6J5Q7BGUENZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HMYHGH2CAHG2YKC6J5Q7BGUENZ/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":"2026-06-06T06:46:02Z","links":{"resolver":"https://pith.science/pith/HMYHGH2CAHG2YKC6J5Q7BGUENZ","bundle":"https://pith.science/pith/HMYHGH2CAHG2YKC6J5Q7BGUENZ/bundle.json","state":"https://pith.science/pith/HMYHGH2CAHG2YKC6J5Q7BGUENZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HMYHGH2CAHG2YKC6J5Q7BGUENZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HMYHGH2CAHG2YKC6J5Q7BGUENZ","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":"d8c19c424dfc871857638f19d9f8083d80c14a09cb85e636404b6885b9997597","cross_cats_sorted":["physics.ao-ph","physics.data-an","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-10-11T23:16:35Z","title_canon_sha256":"c401e01364375e3e60192f9e1e30abc5c120a3708dfc824e2ee86ccc9f7b9626"},"schema_version":"1.0","source":{"id":"1110.2527","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2527","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2527v1","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2527","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"HMYHGH2CAHG2","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HMYHGH2CAHG2YKC6","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HMYHGH2C","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:5983a2f1edec25eb957dd8cab33bdeae0205cd80d8679ba0b6b943b5a8749126","target":"graph","created_at":"2026-05-18T04:11:08Z","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":"Data assimilation methodologies are designed to incorporate noisy observations of a physical system into an underlying model in order to infer the properties of the state of the system. Filters refer to a class of data assimilation algorithms designed to update the estimation of the state in a on-line fashion, as data is acquired sequentially. For linear problems subject to Gaussian noise filtering can be performed exactly using the Kalman filter. For nonlinear systems it can be approximated in a systematic way by particle filters. However in high dimensions these particle filtering methods ca","authors_text":"A. M. Stuart, C. E. A. Brett, D. S. McCormick, K. F. Lam, K. J. H. Law, M. R. Scott","cross_cats":["physics.ao-ph","physics.data-an","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-10-11T23:16:35Z","title":"Stability of Filters for the Navier-Stokes Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2527","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":"sha256:1dcfde03a84031ec4298d7e81c0d66845ae2d159b62d0b96c33b349a251f6a1d","target":"record","created_at":"2026-05-18T04:11:08Z","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":"d8c19c424dfc871857638f19d9f8083d80c14a09cb85e636404b6885b9997597","cross_cats_sorted":["physics.ao-ph","physics.data-an","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-10-11T23:16:35Z","title_canon_sha256":"c401e01364375e3e60192f9e1e30abc5c120a3708dfc824e2ee86ccc9f7b9626"},"schema_version":"1.0","source":{"id":"1110.2527","kind":"arxiv","version":1}},"canonical_sha256":"3b30731f4201cdac285e4f61f09a846e70cfe15eff392c32586e11749556e0fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b30731f4201cdac285e4f61f09a846e70cfe15eff392c32586e11749556e0fa","first_computed_at":"2026-05-18T04:11:08.694213Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:08.694213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KjXdfsH/Zls+4vIMvn5m/c0ylZfS9CsT7XMPRA7XerZUd4LMp6Z0D6kmHs7424rJNB2uAY72yovPY6THsLYvBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:08.694917Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.2527","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dcfde03a84031ec4298d7e81c0d66845ae2d159b62d0b96c33b349a251f6a1d","sha256:5983a2f1edec25eb957dd8cab33bdeae0205cd80d8679ba0b6b943b5a8749126"],"state_sha256":"7a16590080ea57c6e472b50eac93c2c5693cf7943eb89dfa1bd2110fad3b0939"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tXKxDmp1DEmHOKyWm97PkL0Dbv/KLW67WX8/SCooe1sF/YEmHC7qjXdYN8gvC9I4hp25EZpLRG1CTXUN23SvCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T06:46:02.026293Z","bundle_sha256":"357f2c54e34ac6520f8acc4f357e669913cdb2deec19bc998b4fc3e0c1b58925"}}