{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:3VJOWTKFKGUXC5UU5IYOU2B2R5","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":"5f853b67c3e2e04b35cd5b71b5718ed45fc5d77ad2b49888a463b651ec210b99","cross_cats_sorted":["math.DS","math.PR","nlin.CD","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-07-17T15:08:20Z","title_canon_sha256":"55a896b1f0c8c85b4bfd21c1c237f6786fc9a3e80eac50d375f736fb8e575601"},"schema_version":"1.0","source":{"id":"2607.16035","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.16035","created_at":"2026-07-20T02:19:27Z"},{"alias_kind":"arxiv_version","alias_value":"2607.16035v1","created_at":"2026-07-20T02:19:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16035","created_at":"2026-07-20T02:19:27Z"},{"alias_kind":"pith_short_12","alias_value":"3VJOWTKFKGUX","created_at":"2026-07-20T02:19:27Z"},{"alias_kind":"pith_short_16","alias_value":"3VJOWTKFKGUXC5UU","created_at":"2026-07-20T02:19:27Z"},{"alias_kind":"pith_short_8","alias_value":"3VJOWTKF","created_at":"2026-07-20T02:19:27Z"}],"graph_snapshots":[{"event_id":"sha256:6464edd77c30f7a73daa4805149a58813774bf7fc455b5f2db569a8dfa8a4cef","target":"graph","created_at":"2026-07-20T02:19:27Z","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/2607.16035/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A foundational principle in nonlinear dynamics is that the structure of a dynamical system can be recovered from a small number of generic measurements or coordinates. We develop an analogous principle for the identification of dynamic models for time series {\\em with noise}, which builds on previous identification results for noiseless dynamical systems. The noise is allowed to be non-iid, non-Gaussian, and dependent on the state. Our results cover noisily observed differential equations and discrete-time dynamical systems, as well as stochastic models with process noise. We illustrate the ut","authors_text":"Cosma Rohilla Shalizi, Michael Wieck-Sosa","cross_cats":["math.DS","math.PR","nlin.CD","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-07-17T15:08:20Z","title":"Dynamic models with $p$ parameters are identified by $2p+1$ random features"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16035","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:a0d7b61eea1869a6f2c4c34d7a72e76af88b5aeb344ce8331f8f0ac773676e5d","target":"record","created_at":"2026-07-20T02:19:27Z","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":"5f853b67c3e2e04b35cd5b71b5718ed45fc5d77ad2b49888a463b651ec210b99","cross_cats_sorted":["math.DS","math.PR","nlin.CD","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-07-17T15:08:20Z","title_canon_sha256":"55a896b1f0c8c85b4bfd21c1c237f6786fc9a3e80eac50d375f736fb8e575601"},"schema_version":"1.0","source":{"id":"2607.16035","kind":"arxiv","version":1}},"canonical_sha256":"dd52eb4d4551a9717694ea30ea683a8f4576037c18f1fd2152215a635cbf0733","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd52eb4d4551a9717694ea30ea683a8f4576037c18f1fd2152215a635cbf0733","first_computed_at":"2026-07-20T02:19:27.519177Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-20T02:19:27.519177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ayMBzzJbFtAYTg+TXihKWnCBRPNUcwgNFDlv5iC0jzFM5zFnCp4sh8nbNUhEo+UlxavQme0E7j/vI7huymZsCg==","signature_status":"signed_v1","signed_at":"2026-07-20T02:19:27.520024Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.16035","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0d7b61eea1869a6f2c4c34d7a72e76af88b5aeb344ce8331f8f0ac773676e5d","sha256:6464edd77c30f7a73daa4805149a58813774bf7fc455b5f2db569a8dfa8a4cef"],"state_sha256":"e1102bce653c0b4200045067c994c35c0d917ed9cd3d5252284c12ff2d46b0ef"}