{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7ER3CP7RBR5X64VSIO7QNKV37R","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":"2ee29f9867407dfe68a346088e21e542a43594cfe09d2ae27ab6ad88b72a9ad0","cross_cats_sorted":["physics.data-an"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.IM","submitted_at":"2026-08-06T10:41:20Z","title_canon_sha256":"c1489c6cb23f3df6dd3d91d125ce929204a3200a8ce09924796070aad94ee60d"},"schema_version":"1.0","source":{"id":"2608.05862","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.05862","created_at":"2026-08-07T00:53:09Z"},{"alias_kind":"arxiv_version","alias_value":"2608.05862v1","created_at":"2026-08-07T00:53:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.05862","created_at":"2026-08-07T00:53:09Z"},{"alias_kind":"pith_short_12","alias_value":"7ER3CP7RBR5X","created_at":"2026-08-07T00:53:09Z"},{"alias_kind":"pith_short_16","alias_value":"7ER3CP7RBR5X64VS","created_at":"2026-08-07T00:53:09Z"},{"alias_kind":"pith_short_8","alias_value":"7ER3CP7R","created_at":"2026-08-07T00:53:09Z"}],"graph_snapshots":[{"event_id":"sha256:c86c2d8361a2bb067a479618423c3f7b728da75fb96e90ee577399c7b0722a3b","target":"graph","created_at":"2026-08-07T00:53:09Z","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/2608.05862/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Many of the smooth functions that matter most in physics are precisely the ones that standard neural network methods struggle to fit accurately. Here we present NestyNet, a coupled model-and-optimizer framework capable of fitting such targets to high accuracy while also delivering their gradients, Hessians, Laplacians, and antiderivatives analytically and at low cost. This makes it a natural substrate for scientific machine learning tasks. The model is a deterministic segmented analytic surrogate, and its optimizer is a second-order Levenberg--Marquardt scheme whose damping and linear solves a","authors_text":"Anirudh Shankar, Foivos Diakogiannis, Neil Ibata, Rodrigo Ibata, Wassim Tenachi","cross_cats":["physics.data-an"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.IM","submitted_at":"2026-08-06T10:41:20Z","title":"NestyNet. I. Physics Functions Are Hard to Fit with Neural Networks: A Framework for Accurate Surrogates and Analytic Derivatives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.05862","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":"sha256:7bd7d48e0235ac314d9b45aa32bd26fb0e611cf82ff29b19cb29d4e10a8124f8","target":"record","created_at":"2026-08-07T00:53:09Z","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":"2ee29f9867407dfe68a346088e21e542a43594cfe09d2ae27ab6ad88b72a9ad0","cross_cats_sorted":["physics.data-an"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.IM","submitted_at":"2026-08-06T10:41:20Z","title_canon_sha256":"c1489c6cb23f3df6dd3d91d125ce929204a3200a8ce09924796070aad94ee60d"},"schema_version":"1.0","source":{"id":"2608.05862","kind":"arxiv","version":1}},"canonical_sha256":"f923b13ff10c7b7f72b243bf06aabbfc4712a7027609b2ff402afb4fdbfc5730","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f923b13ff10c7b7f72b243bf06aabbfc4712a7027609b2ff402afb4fdbfc5730","first_computed_at":"2026-08-07T00:53:09.817207Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-07T00:53:09.817207Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oTL70ivGpVu99rZs4hsbvhGEH7GjXehaYULVeFwGWUtrEMGVwmMSfwq+aBRzjKGC13tinhKYQH420oJAQOdWBQ==","signature_status":"signed_v1","signed_at":"2026-08-07T00:53:09.818796Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.05862","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bd7d48e0235ac314d9b45aa32bd26fb0e611cf82ff29b19cb29d4e10a8124f8","sha256:c86c2d8361a2bb067a479618423c3f7b728da75fb96e90ee577399c7b0722a3b"],"state_sha256":"745ab86ca538396bf7ccfd9ec75fcee70208797d489f8ee389cfe0bffdc7e540"}