{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:FXMLI6WGRGGNJEBGVNER36RWW3","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":"6e19c294ee352436823ce225d6e9ce996b0996748e08ab6969a26cf79f75acd2","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-09-30T15:20:10Z","title_canon_sha256":"dc4465c2c41f8b420c3d41f03307c92d88222d32fdadc8fac4894f0a7f3f007c"},"schema_version":"1.0","source":{"id":"2409.20383","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.20383","created_at":"2026-07-05T09:13:42Z"},{"alias_kind":"arxiv_version","alias_value":"2409.20383v1","created_at":"2026-07-05T09:13:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.20383","created_at":"2026-07-05T09:13:42Z"},{"alias_kind":"pith_short_12","alias_value":"FXMLI6WGRGGN","created_at":"2026-07-05T09:13:42Z"},{"alias_kind":"pith_short_16","alias_value":"FXMLI6WGRGGNJEBG","created_at":"2026-07-05T09:13:42Z"},{"alias_kind":"pith_short_8","alias_value":"FXMLI6WG","created_at":"2026-07-05T09:13:42Z"}],"graph_snapshots":[{"event_id":"sha256:1206ac6fbdb12ecdeb07bc8c10fc97cdfa7a45e583cdd05e5d1b82cace657707","target":"graph","created_at":"2026-07-05T09:13:42Z","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/2409.20383/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Physics-informed neural networks (PINNs) have recently emerged as effective methods for solving partial differential equations (PDEs) in various problems. Substantial research focuses on the failure modes of PINNs due to their frequent inaccuracies in predictions. However, most are based on the premise that minimizing the loss function to zero causes the network to converge to a solution of the governing PDE. In this study, we prove that PINNs encounter a fundamental issue that the premise is invalid. We also reveal that this issue stems from the inability to regulate the behavior of the deriv","authors_text":"Changhoon Song, Myungjoo Kang, Yesom Park","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-09-30T15:20:10Z","title":"Beyond Derivative Pathology of PINNs: Variable Splitting Strategy with Convergence Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.20383","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":"sha256:5e580b1a97834283462925d61785c74499e4d0f609746ea44422984234dd351f","target":"record","created_at":"2026-07-05T09:13:42Z","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":"6e19c294ee352436823ce225d6e9ce996b0996748e08ab6969a26cf79f75acd2","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-09-30T15:20:10Z","title_canon_sha256":"dc4465c2c41f8b420c3d41f03307c92d88222d32fdadc8fac4894f0a7f3f007c"},"schema_version":"1.0","source":{"id":"2409.20383","kind":"arxiv","version":1}},"canonical_sha256":"2dd8b47ac6898cd49026ab491dfa36b6e7ae7bf9b25cd4a3c3e14fa52132d9a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2dd8b47ac6898cd49026ab491dfa36b6e7ae7bf9b25cd4a3c3e14fa52132d9a5","first_computed_at":"2026-07-05T09:13:42.634074Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:13:42.634074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ln6Nm1qCUdiEJs6oa2qTjPo2cAayOeGcdHuZYTeTx8TraQ/Hypd1eGyLzH17XnweEGzJaFmGHW6n17MouOfSDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:13:42.634546Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.20383","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e580b1a97834283462925d61785c74499e4d0f609746ea44422984234dd351f","sha256:1206ac6fbdb12ecdeb07bc8c10fc97cdfa7a45e583cdd05e5d1b82cace657707"],"state_sha256":"cb9f2dcd0bfc6fee723e43b7ac70ab9e494fb539c97d7e114b66e6c8d4edac94"}