{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NMJHTGAIL7CKX5JULJ7ALQXLJR","short_pith_number":"pith:NMJHTGAI","canonical_record":{"source":{"id":"1710.04586","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2017-10-12T16:11:41Z","cross_cats_sorted":[],"title_canon_sha256":"86515514add8884bf24a82f649f1824ead10121d23421a697dc5d9d1976ae8bf","abstract_canon_sha256":"5031265933a1a7e5b95c327ed9456fa5ce9ba027d78a5a9785720d828b42f031"},"schema_version":"1.0"},"canonical_sha256":"6b127998085fc4abf5345a7e05c2eb4c7b32108f1ee88adee7f7b96d5a35191b","source":{"kind":"arxiv","id":"1710.04586","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04586","created_at":"2026-05-18T00:19:03Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04586v2","created_at":"2026-05-18T00:19:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04586","created_at":"2026-05-18T00:19:03Z"},{"alias_kind":"pith_short_12","alias_value":"NMJHTGAIL7CK","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NMJHTGAIL7CKX5JU","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NMJHTGAI","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NMJHTGAIL7CKX5JULJ7ALQXLJR","target":"record","payload":{"canonical_record":{"source":{"id":"1710.04586","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2017-10-12T16:11:41Z","cross_cats_sorted":[],"title_canon_sha256":"86515514add8884bf24a82f649f1824ead10121d23421a697dc5d9d1976ae8bf","abstract_canon_sha256":"5031265933a1a7e5b95c327ed9456fa5ce9ba027d78a5a9785720d828b42f031"},"schema_version":"1.0"},"canonical_sha256":"6b127998085fc4abf5345a7e05c2eb4c7b32108f1ee88adee7f7b96d5a35191b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:03.333763Z","signature_b64":"FVUuhmWMGrpfPpNb2NmW18U5W/ix1bv3OJTu5rrOj1Q2Pv22A3RE4jNKTJz7MxDtZPDj369/4KZOnWF0w44fDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b127998085fc4abf5345a7e05c2eb4c7b32108f1ee88adee7f7b96d5a35191b","last_reissued_at":"2026-05-18T00:19:03.333050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:03.333050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.04586","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:19:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HIh5C0/1qcGHZ6SFCSZM4RsI5MukBRH8UVMQxD1snd6MjFar/S2cBc5a9928+xvRXEWp6nTwHAiOJ4R1W8JHDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T16:39:46.362184Z"},"content_sha256":"e4a6306c1c988ff0eae18e32f84d71f821ce6c5fd4734bb625a605517df3ab14","schema_version":"1.0","event_id":"sha256:e4a6306c1c988ff0eae18e32f84d71f821ce6c5fd4734bb625a605517df3ab14"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NMJHTGAIL7CKX5JULJ7ALQXLJR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Particle Filtering for Stochastic Navier-Stokes Signal Observed with Linear Additive Noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Ajay Jasra, Alexandros Beskos, Francesc Pons Llopis, Nikolas Kantas","submitted_at":"2017-10-12T16:11:41Z","abstract_excerpt":"We consider a non-linear filtering problem, whereby the signal obeys the stochastic Navier-Stokes equations and is observed through a linear mapping with additive noise. The setup is relevant to data assimilation for numerical weather prediction and climate modelling, where similar models are used for unknown ocean or wind velocities. We present a particle filtering methodology that uses likelihood informed importance proposals, adaptive tempering, and a small number of appropriate Markov Chain Monte Carlo steps. We provide a detailed design for each of these steps and show in our numerical ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04586","kind":"arxiv","version":2},"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":"2026-05-18T00:19:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2mcbEY/XuuvEzCi2OAQsZZp/YSHSSq70HXQFPQwt8B/rMEvyU1OqlD/VeeBq3pujTqZZ1BOGIArLF5rZIf3jCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T16:39:46.362567Z"},"content_sha256":"517cbf8569ad204e2a5a1ce72867f2f34e75b03743273793e6d1dd8187d50315","schema_version":"1.0","event_id":"sha256:517cbf8569ad204e2a5a1ce72867f2f34e75b03743273793e6d1dd8187d50315"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NMJHTGAIL7CKX5JULJ7ALQXLJR/bundle.json","state_url":"https://pith.science/pith/NMJHTGAIL7CKX5JULJ7ALQXLJR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NMJHTGAIL7CKX5JULJ7ALQXLJR/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":"2026-05-28T16:39:46Z","links":{"resolver":"https://pith.science/pith/NMJHTGAIL7CKX5JULJ7ALQXLJR","bundle":"https://pith.science/pith/NMJHTGAIL7CKX5JULJ7ALQXLJR/bundle.json","state":"https://pith.science/pith/NMJHTGAIL7CKX5JULJ7ALQXLJR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NMJHTGAIL7CKX5JULJ7ALQXLJR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NMJHTGAIL7CKX5JULJ7ALQXLJR","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":"5031265933a1a7e5b95c327ed9456fa5ce9ba027d78a5a9785720d828b42f031","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2017-10-12T16:11:41Z","title_canon_sha256":"86515514add8884bf24a82f649f1824ead10121d23421a697dc5d9d1976ae8bf"},"schema_version":"1.0","source":{"id":"1710.04586","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04586","created_at":"2026-05-18T00:19:03Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04586v2","created_at":"2026-05-18T00:19:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04586","created_at":"2026-05-18T00:19:03Z"},{"alias_kind":"pith_short_12","alias_value":"NMJHTGAIL7CK","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NMJHTGAIL7CKX5JU","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NMJHTGAI","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:517cbf8569ad204e2a5a1ce72867f2f34e75b03743273793e6d1dd8187d50315","target":"graph","created_at":"2026-05-18T00:19:03Z","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":"We consider a non-linear filtering problem, whereby the signal obeys the stochastic Navier-Stokes equations and is observed through a linear mapping with additive noise. The setup is relevant to data assimilation for numerical weather prediction and climate modelling, where similar models are used for unknown ocean or wind velocities. We present a particle filtering methodology that uses likelihood informed importance proposals, adaptive tempering, and a small number of appropriate Markov Chain Monte Carlo steps. We provide a detailed design for each of these steps and show in our numerical ex","authors_text":"Ajay Jasra, Alexandros Beskos, Francesc Pons Llopis, Nikolas Kantas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2017-10-12T16:11:41Z","title":"Particle Filtering for Stochastic Navier-Stokes Signal Observed with Linear Additive Noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04586","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:e4a6306c1c988ff0eae18e32f84d71f821ce6c5fd4734bb625a605517df3ab14","target":"record","created_at":"2026-05-18T00:19:03Z","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":"5031265933a1a7e5b95c327ed9456fa5ce9ba027d78a5a9785720d828b42f031","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2017-10-12T16:11:41Z","title_canon_sha256":"86515514add8884bf24a82f649f1824ead10121d23421a697dc5d9d1976ae8bf"},"schema_version":"1.0","source":{"id":"1710.04586","kind":"arxiv","version":2}},"canonical_sha256":"6b127998085fc4abf5345a7e05c2eb4c7b32108f1ee88adee7f7b96d5a35191b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b127998085fc4abf5345a7e05c2eb4c7b32108f1ee88adee7f7b96d5a35191b","first_computed_at":"2026-05-18T00:19:03.333050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:03.333050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FVUuhmWMGrpfPpNb2NmW18U5W/ix1bv3OJTu5rrOj1Q2Pv22A3RE4jNKTJz7MxDtZPDj369/4KZOnWF0w44fDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:03.333763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.04586","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4a6306c1c988ff0eae18e32f84d71f821ce6c5fd4734bb625a605517df3ab14","sha256:517cbf8569ad204e2a5a1ce72867f2f34e75b03743273793e6d1dd8187d50315"],"state_sha256":"2e5dbc3b5c08dfe22b1ebc4bbc2873a36f125355e6359252860ef3d61b816e10"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TTE2XYar5tdxkoRT7F4WNsirrJOaJsqzNUMMplqaDn7SmuuFYBor80KkPh1ikHg5mzfsWZhqy0ajaJETuruNDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T16:39:46.364643Z","bundle_sha256":"7d27eec29da0720ef06b23abb99b0a19c5e57c1d95d5fd3ab847e790817f006e"}}