{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:PEMGSP6WXTBLZ4WTOTWATLNKJQ","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":"e8a84f4a43a37fb0b2917d1afa70ca9d6996ffed725273890d45fddbf0499d44","cross_cats_sorted":["cs.CE","physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-04-30T05:30:27Z","title_canon_sha256":"78b4bdc7befb08c5ec3bb45979f65f37a6f26d421b136e840cf0857917db5a09"},"schema_version":"1.0","source":{"id":"2504.21328","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.21328","created_at":"2026-07-05T10:56:22Z"},{"alias_kind":"arxiv_version","alias_value":"2504.21328v1","created_at":"2026-07-05T10:56:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.21328","created_at":"2026-07-05T10:56:22Z"},{"alias_kind":"pith_short_12","alias_value":"PEMGSP6WXTBL","created_at":"2026-07-05T10:56:22Z"},{"alias_kind":"pith_short_16","alias_value":"PEMGSP6WXTBLZ4WT","created_at":"2026-07-05T10:56:22Z"},{"alias_kind":"pith_short_8","alias_value":"PEMGSP6W","created_at":"2026-07-05T10:56:22Z"}],"graph_snapshots":[{"event_id":"sha256:3cac9e8751b993f2f1d6e397c6888f6a0f996bb33e0f8ad444398be58b57bead","target":"graph","created_at":"2026-07-05T10:56:22Z","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/2504.21328/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Physics-Informed Neural Networks have emerged as a promising methodology for solving PDEs, gaining significant attention in computer science and various physics-related fields. Despite being demonstrated the ability to incorporate the physics of laws for versatile applications, PINNs still struggle with the challenging problems which are stiff to be solved and/or have high-frequency components in the solutions, resulting in accuracy and convergence issues. It may not only increase computational costs, but also lead to accuracy loss or solution divergence. In this study, an alternative approach","authors_text":"Chao-An Lin, Hsiao-Tung Juan, Pao-Hsiung Chiu, Yao-Hsuan Tsai","cross_cats":["cs.CE","physics.flu-dyn"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-04-30T05:30:27Z","title":"Multi-level datasets training method in Physics-Informed Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.21328","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":"sha256:809d9bf6c6be06413001a6f62fd31fb4b488029fd3dbf9d7486d5be20a575ca6","target":"record","created_at":"2026-07-05T10:56:22Z","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":"e8a84f4a43a37fb0b2917d1afa70ca9d6996ffed725273890d45fddbf0499d44","cross_cats_sorted":["cs.CE","physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-04-30T05:30:27Z","title_canon_sha256":"78b4bdc7befb08c5ec3bb45979f65f37a6f26d421b136e840cf0857917db5a09"},"schema_version":"1.0","source":{"id":"2504.21328","kind":"arxiv","version":1}},"canonical_sha256":"7918693fd6bcc2bcf2d374ec09adaa4c3398a41a831dee8f10c423a34d841335","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7918693fd6bcc2bcf2d374ec09adaa4c3398a41a831dee8f10c423a34d841335","first_computed_at":"2026-07-05T10:56:22.282128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:56:22.282128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/pbYnA6hgJBBld7yJXuurrQK8GAQatpEk0D9pWtGpglNuyUc9b4osSNWeoLPGlz+4/yQIRnXWnUTIynIMAt6DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:56:22.282572Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.21328","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:809d9bf6c6be06413001a6f62fd31fb4b488029fd3dbf9d7486d5be20a575ca6","sha256:3cac9e8751b993f2f1d6e397c6888f6a0f996bb33e0f8ad444398be58b57bead"],"state_sha256":"28cc32ba6ea0c0b1dee611bc135db75d8835b565e7d5368d34d16ef97701885e"}