{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:DFUHDKDRI27Q4OZKBEUD4PUP37","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":"bce2f9399ecf7936afd1509782bfbc5c82c0dfdb74afd598d99566177f398cb2","cross_cats_sorted":["cs.NA","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-11T08:49:18Z","title_canon_sha256":"9f5f4ce17e3564987948f3bd8c4f8c9ac141d5535024d2f41cec437a9f763a00"},"schema_version":"1.0","source":{"id":"2606.13063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.13063","created_at":"2026-06-12T01:09:38Z"},{"alias_kind":"arxiv_version","alias_value":"2606.13063v1","created_at":"2026-06-12T01:09:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13063","created_at":"2026-06-12T01:09:38Z"},{"alias_kind":"pith_short_12","alias_value":"DFUHDKDRI27Q","created_at":"2026-06-12T01:09:38Z"},{"alias_kind":"pith_short_16","alias_value":"DFUHDKDRI27Q4OZK","created_at":"2026-06-12T01:09:38Z"},{"alias_kind":"pith_short_8","alias_value":"DFUHDKDR","created_at":"2026-06-12T01:09:38Z"}],"graph_snapshots":[{"event_id":"sha256:705d6d45baa5c600b77f07a0f3fc02ead6b87dd721a77fa7e2d547261ca9b1b2","target":"graph","created_at":"2026-06-12T01:09:38Z","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/2606.13063/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Forecasting the evolution of complex dynamical systems remains a fundamentally challenging task, primarily due to pronounced nonlinear interactions, high-dimensional state spaces, and the concomitant requirement for rigorous and reliable uncertainty quantification. Contemporary reduced-order modelling (ROM) frameworks frequently exhibit inherent trade-offs among predictive accuracy, numerical stability, and interpretability, and thus often fail to achieve an optimal balance among these competing objectives. To address these limitations, we propose a framework for forecasting complex dynamical ","authors_text":"Gianluigi Rozza, Guglielmo Padula, Michele Girfoglio","cross_cats":["cs.NA","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-11T08:49:18Z","title":"A Quadratic Order Reduction -- Gaussian Process Ordinary Differential Equation framework for the inference of Large Continuous Dynamical Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13063","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":"sha256:17d5ad7c9df217d86dd043bd0cb110f76e232032c974b8b0364ccded1ccce6ad","target":"record","created_at":"2026-06-12T01:09:38Z","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":"bce2f9399ecf7936afd1509782bfbc5c82c0dfdb74afd598d99566177f398cb2","cross_cats_sorted":["cs.NA","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-06-11T08:49:18Z","title_canon_sha256":"9f5f4ce17e3564987948f3bd8c4f8c9ac141d5535024d2f41cec437a9f763a00"},"schema_version":"1.0","source":{"id":"2606.13063","kind":"arxiv","version":1}},"canonical_sha256":"196871a87146bf0e3b2a09283e3e8fdfe8f252b15fb7ff55ee3c1a148119e8f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"196871a87146bf0e3b2a09283e3e8fdfe8f252b15fb7ff55ee3c1a148119e8f0","first_computed_at":"2026-06-12T01:09:38.950014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T01:09:38.950014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hLeXsl/F2TFrtcQXIRhMC73EcuooBv3HohMfUrzKjHnfd0HvqYtQuxm/FoTPjFokB9eZ2nTG2W50Y3QAswBDAw==","signature_status":"signed_v1","signed_at":"2026-06-12T01:09:38.950430Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.13063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17d5ad7c9df217d86dd043bd0cb110f76e232032c974b8b0364ccded1ccce6ad","sha256:705d6d45baa5c600b77f07a0f3fc02ead6b87dd721a77fa7e2d547261ca9b1b2"],"state_sha256":"76eb854d5122a4beed473f960760386f4120091ae0c47bb70aab9c828ac87cb7"}