{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:F5GOBQ6UMMPIBMQBQWDMXQL4W5","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":"78476f0b5ad33050c14174c95aaaf74a5da9252daab6a5c33846e6938b0c1ebd","cross_cats_sorted":["nlin.CD","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-18T00:33:08Z","title_canon_sha256":"dd14f572d93f9e553f48b7fe2db31cee04c0fa1d847a375741c06ff9e70c1f4e"},"schema_version":"1.0","source":{"id":"1411.4700","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4700","created_at":"2026-05-18T01:41:29Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4700v1","created_at":"2026-05-18T01:41:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4700","created_at":"2026-05-18T01:41:29Z"},{"alias_kind":"pith_short_12","alias_value":"F5GOBQ6UMMPI","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"F5GOBQ6UMMPIBMQB","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"F5GOBQ6U","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:d73a2294136c3982664dcbdfcd1bbe3a38d519c7de1596a2b101885787791b75","target":"graph","created_at":"2026-05-18T01:41:29Z","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":"This paper has two interrelated foci: (i) obtaining stable and efficient data-driven closure models by using a multivariate time series of partial observations from a large-dimensional system; and (ii) comparing these closure models with the optimal closures predicted by the Mori-Zwanzig (MZ) formalism of statistical physics. Multilayer stochastic models (MSMs) are introduced as both a generalization and a time-continuous limit of existing multilevel, regression-based approaches to closure in a data-driven setting; these approaches include empirical model reduction (EMR), as well as more recen","authors_text":"Dmitri Kondrashov, Michael Ghil, Micka\\\"el D. Chekroun","cross_cats":["nlin.CD","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-18T00:33:08Z","title":"Data-driven non-Markovian closure models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4700","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":"sha256:8e9bfd48907bfa385ad960a3f8498881e3ed90c582dbc01b1d1d67c60233875f","target":"record","created_at":"2026-05-18T01:41:29Z","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":"78476f0b5ad33050c14174c95aaaf74a5da9252daab6a5c33846e6938b0c1ebd","cross_cats_sorted":["nlin.CD","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-18T00:33:08Z","title_canon_sha256":"dd14f572d93f9e553f48b7fe2db31cee04c0fa1d847a375741c06ff9e70c1f4e"},"schema_version":"1.0","source":{"id":"1411.4700","kind":"arxiv","version":1}},"canonical_sha256":"2f4ce0c3d4631e80b2018586cbc17cb74282feb295e1861b49b8e3fb68a98849","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f4ce0c3d4631e80b2018586cbc17cb74282feb295e1861b49b8e3fb68a98849","first_computed_at":"2026-05-18T01:41:29.684340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:29.684340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qjnvOc7JlzG0xMHgFfnUSO8SHp5LEih9rM7/O/O8lwlNdYPziggzcTaU9V2R/mIczvflCi0Gr316yj6T88+EAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:29.685021Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4700","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e9bfd48907bfa385ad960a3f8498881e3ed90c582dbc01b1d1d67c60233875f","sha256:d73a2294136c3982664dcbdfcd1bbe3a38d519c7de1596a2b101885787791b75"],"state_sha256":"0ef871e971c4a4f420a6f0edd1d4001690c26a038ad79f56b40cc0974ba8adef"}