{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WYA4YLWSNFTDQCJABK5UMG6JNO","short_pith_number":"pith:WYA4YLWS","canonical_record":{"source":{"id":"1605.02273","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-08T04:21:25Z","cross_cats_sorted":[],"title_canon_sha256":"61ba3ea3479965e35fb1c10e1814e3e60cd59043ccafab0752594d737b61caf0","abstract_canon_sha256":"b8d00aaf3fa0ee094d19181138d51517d53962a9083f1b9d670bb9a1829e4275"},"schema_version":"1.0"},"canonical_sha256":"b601cc2ed269663809200abb461bc96ba37256304385b8a9bb594a579848298f","source":{"kind":"arxiv","id":"1605.02273","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.02273","created_at":"2026-05-18T00:51:17Z"},{"alias_kind":"arxiv_version","alias_value":"1605.02273v2","created_at":"2026-05-18T00:51:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02273","created_at":"2026-05-18T00:51:17Z"},{"alias_kind":"pith_short_12","alias_value":"WYA4YLWSNFTD","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WYA4YLWSNFTDQCJA","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WYA4YLWS","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WYA4YLWSNFTDQCJABK5UMG6JNO","target":"record","payload":{"canonical_record":{"source":{"id":"1605.02273","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-08T04:21:25Z","cross_cats_sorted":[],"title_canon_sha256":"61ba3ea3479965e35fb1c10e1814e3e60cd59043ccafab0752594d737b61caf0","abstract_canon_sha256":"b8d00aaf3fa0ee094d19181138d51517d53962a9083f1b9d670bb9a1829e4275"},"schema_version":"1.0"},"canonical_sha256":"b601cc2ed269663809200abb461bc96ba37256304385b8a9bb594a579848298f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:17.537681Z","signature_b64":"21jVZ10cgb1Kj2jcFy1dnklsXLGlyv6viIjZZvB/ZQ0Ks0HfclLYnR1x9aNZd8cgFFNi1d5P5JdTZCcPN1uxCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b601cc2ed269663809200abb461bc96ba37256304385b8a9bb594a579848298f","last_reissued_at":"2026-05-18T00:51:17.537058Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:17.537058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.02273","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":"2026-05-18T00:51:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JlDbpIA3O5+QHTvCxJ1QtLbha2o7rhoUG0rdKn6rZjCohxm34wNDzLWDRbV2NQBIa6isnGpCNrDcZtR1yXupAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:38:59.053395Z"},"content_sha256":"b6023f59e00a265bdfd4296640fecd72e6b0a917ef95201a927bd0f5c7ff0e73","schema_version":"1.0","event_id":"sha256:b6023f59e00a265bdfd4296640fecd72e6b0a917ef95201a927bd0f5c7ff0e73"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WYA4YLWSNFTDQCJABK5UMG6JNO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comparison of continuous and discrete-time data-based modeling for hypoelliptic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alexandre J. Chorin, Fei Lu, Kevin K. Lin","submitted_at":"2016-05-08T04:21:25Z","abstract_excerpt":"We compare two approaches to the predictive modeling of dynamical systems from partial observations at discrete times. The first is continuous in time, where one uses data to infer a model in the form of stochastic differential equations, which are then discretized for numerical solution. The second is discrete in time, where one directly infers a discrete-time model in the form of a nonlinear autoregression moving average model. The comparison is performed in a special case where the observations are known to have been obtained from a hypoelliptic stochastic differential equation. We show tha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02273","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":"2026-05-18T00:51:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EsGeM6ZEmWqSbpOoNdtQHq8BbmpiZl0PQvh3azC81z14oBQV30w+gjMgGzKJRQ6Ca9hhp88Rem+PBnOjKGA3DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:38:59.054091Z"},"content_sha256":"566d92b22cfee3a47f154b658e152dd32a8e0d2460c235b5711b383a5ec53842","schema_version":"1.0","event_id":"sha256:566d92b22cfee3a47f154b658e152dd32a8e0d2460c235b5711b383a5ec53842"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WYA4YLWSNFTDQCJABK5UMG6JNO/bundle.json","state_url":"https://pith.science/pith/WYA4YLWSNFTDQCJABK5UMG6JNO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WYA4YLWSNFTDQCJABK5UMG6JNO/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":"2026-05-26T11:38:59Z","links":{"resolver":"https://pith.science/pith/WYA4YLWSNFTDQCJABK5UMG6JNO","bundle":"https://pith.science/pith/WYA4YLWSNFTDQCJABK5UMG6JNO/bundle.json","state":"https://pith.science/pith/WYA4YLWSNFTDQCJABK5UMG6JNO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WYA4YLWSNFTDQCJABK5UMG6JNO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WYA4YLWSNFTDQCJABK5UMG6JNO","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":"b8d00aaf3fa0ee094d19181138d51517d53962a9083f1b9d670bb9a1829e4275","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-08T04:21:25Z","title_canon_sha256":"61ba3ea3479965e35fb1c10e1814e3e60cd59043ccafab0752594d737b61caf0"},"schema_version":"1.0","source":{"id":"1605.02273","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.02273","created_at":"2026-05-18T00:51:17Z"},{"alias_kind":"arxiv_version","alias_value":"1605.02273v2","created_at":"2026-05-18T00:51:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02273","created_at":"2026-05-18T00:51:17Z"},{"alias_kind":"pith_short_12","alias_value":"WYA4YLWSNFTD","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WYA4YLWSNFTDQCJA","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WYA4YLWS","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:566d92b22cfee3a47f154b658e152dd32a8e0d2460c235b5711b383a5ec53842","target":"graph","created_at":"2026-05-18T00:51:17Z","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 compare two approaches to the predictive modeling of dynamical systems from partial observations at discrete times. The first is continuous in time, where one uses data to infer a model in the form of stochastic differential equations, which are then discretized for numerical solution. The second is discrete in time, where one directly infers a discrete-time model in the form of a nonlinear autoregression moving average model. The comparison is performed in a special case where the observations are known to have been obtained from a hypoelliptic stochastic differential equation. We show tha","authors_text":"Alexandre J. Chorin, Fei Lu, Kevin K. Lin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-08T04:21:25Z","title":"Comparison of continuous and discrete-time data-based modeling for hypoelliptic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02273","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:b6023f59e00a265bdfd4296640fecd72e6b0a917ef95201a927bd0f5c7ff0e73","target":"record","created_at":"2026-05-18T00:51:17Z","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":"b8d00aaf3fa0ee094d19181138d51517d53962a9083f1b9d670bb9a1829e4275","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-08T04:21:25Z","title_canon_sha256":"61ba3ea3479965e35fb1c10e1814e3e60cd59043ccafab0752594d737b61caf0"},"schema_version":"1.0","source":{"id":"1605.02273","kind":"arxiv","version":2}},"canonical_sha256":"b601cc2ed269663809200abb461bc96ba37256304385b8a9bb594a579848298f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b601cc2ed269663809200abb461bc96ba37256304385b8a9bb594a579848298f","first_computed_at":"2026-05-18T00:51:17.537058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:17.537058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"21jVZ10cgb1Kj2jcFy1dnklsXLGlyv6viIjZZvB/ZQ0Ks0HfclLYnR1x9aNZd8cgFFNi1d5P5JdTZCcPN1uxCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:17.537681Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.02273","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6023f59e00a265bdfd4296640fecd72e6b0a917ef95201a927bd0f5c7ff0e73","sha256:566d92b22cfee3a47f154b658e152dd32a8e0d2460c235b5711b383a5ec53842"],"state_sha256":"cfc2ad61ade3cd00880ece37cc47ead92a8d6b09a847ea1548e83aeb5b8153cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AZ1pf7xNO5HxWC/nDtgqXCeeX/4PbpYjnfAm/VGoGZqJlAvH+wY6l0xkVh3FcJUwPopEGDqfH4kJGzwF8xTtAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:38:59.057244Z","bundle_sha256":"96ea5fb29a7276e67f7a8437a5f47fd897b57197fe63a15d8d1d8b4c662cec41"}}