{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GAXT4SWNPONHRYUY2IOGT5MWGF","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":"662b14f4024e2f0264b3975e0fc67997649c6e13c4fda3fa5cdd1da4d2d7ea46","cross_cats_sorted":["cs.LG","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2025-07-13T14:36:47Z","title_canon_sha256":"766ae7a224db0c0cba371f449c67bd8966f05ca42ef99aad81b97eadd3be43f6"},"schema_version":"1.0","source":{"id":"2507.09652","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.09652","created_at":"2026-07-05T11:36:37Z"},{"alias_kind":"arxiv_version","alias_value":"2507.09652v1","created_at":"2026-07-05T11:36:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.09652","created_at":"2026-07-05T11:36:37Z"},{"alias_kind":"pith_short_12","alias_value":"GAXT4SWNPONH","created_at":"2026-07-05T11:36:37Z"},{"alias_kind":"pith_short_16","alias_value":"GAXT4SWNPONHRYUY","created_at":"2026-07-05T11:36:37Z"},{"alias_kind":"pith_short_8","alias_value":"GAXT4SWN","created_at":"2026-07-05T11:36:37Z"}],"graph_snapshots":[{"event_id":"sha256:2769d3b08f92bc62fcf586c5927e15252dada6221f9d40bdfe0f234fa3719683","target":"graph","created_at":"2026-07-05T11:36:37Z","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/2507.09652/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Low-dimensional chaotic systems such as the Lorenz-63 model are commonly used to benchmark system-agnostic methods for learning dynamics from data. Here we show that learning from noise-free observations in such systems can be achieved up to machine precision: using ordinary least squares regression on high-degree polynomial features with 512-bit arithmetic, our method exceeds the accuracy of standard 64-bit numerical ODE solvers of the true underlying dynamical systems. Depending on the configuration, we obtain valid prediction times of 32 to 105 Lyapunov times for the Lorenz-63 system, drama","authors_text":"Christof Sch\\\"otz, Niklas Boers","cross_cats":["cs.LG","math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2025-07-13T14:36:47Z","title":"Machine-Precision Prediction of Low-Dimensional Chaotic Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.09652","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:ff24c73c6b1bd30a913ae349cf3a18d9c015c9cfddc7874e7ac8aea00f00c450","target":"record","created_at":"2026-07-05T11:36:37Z","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":"662b14f4024e2f0264b3975e0fc67997649c6e13c4fda3fa5cdd1da4d2d7ea46","cross_cats_sorted":["cs.LG","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2025-07-13T14:36:47Z","title_canon_sha256":"766ae7a224db0c0cba371f449c67bd8966f05ca42ef99aad81b97eadd3be43f6"},"schema_version":"1.0","source":{"id":"2507.09652","kind":"arxiv","version":1}},"canonical_sha256":"302f3e4acd7b9a78e298d21c69f596314a8e1ac459d54a7ed2ede1e6387fe6c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"302f3e4acd7b9a78e298d21c69f596314a8e1ac459d54a7ed2ede1e6387fe6c4","first_computed_at":"2026-07-05T11:36:37.417375Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:36:37.417375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3UPR6LL2/Zu+mG7FeI+3ea0f+P8OGco/uBjdZon0xXvlGY1sxk83VnpyjAAoh4W5IDMI+iTWm70UQIWrE34rDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:36:37.417840Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.09652","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff24c73c6b1bd30a913ae349cf3a18d9c015c9cfddc7874e7ac8aea00f00c450","sha256:2769d3b08f92bc62fcf586c5927e15252dada6221f9d40bdfe0f234fa3719683"],"state_sha256":"825673bc2606565968c18bc3ef051a386b451795bea15dff6cbd9824411b193c"}