{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:PQW43MN6E66B2KVXKIBHGDYUH3","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":"c135febd862ab5472030eeb14d7e1205e21f58f0ecec7bf5d312328516c9f28c","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-10-25T09:19:40Z","title_canon_sha256":"574d6e202158377bf76904af7c69657101216456b1064a75a9f98e2eb520a461"},"schema_version":"1.0","source":{"id":"2310.16491","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.16491","created_at":"2026-07-05T07:04:58Z"},{"alias_kind":"arxiv_version","alias_value":"2310.16491v1","created_at":"2026-07-05T07:04:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.16491","created_at":"2026-07-05T07:04:58Z"},{"alias_kind":"pith_short_12","alias_value":"PQW43MN6E66B","created_at":"2026-07-05T07:04:58Z"},{"alias_kind":"pith_short_16","alias_value":"PQW43MN6E66B2KVX","created_at":"2026-07-05T07:04:58Z"},{"alias_kind":"pith_short_8","alias_value":"PQW43MN6","created_at":"2026-07-05T07:04:58Z"}],"graph_snapshots":[{"event_id":"sha256:d2ba0c37799b3d6267cd3ec91c1ee4a48da2e538b5f36ce5bb52254152bbc426","target":"graph","created_at":"2026-07-05T07:04:58Z","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/2310.16491/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Deep neural networks (DNNs), especially physics-informed neural networks (PINNs), have recently become a new popular method for solving forward and inverse problems governed by partial differential equations (PDEs). However, these methods still face challenges in achieving stable training and obtaining correct results in many problems, since minimizing PDE residuals with PDE-based soft constraint make the problem ill-conditioned. Different from all existing methods that directly minimize PDE residuals, this work integrates time-stepping method with deep learning, and transforms the original il","authors_text":"Weiwei Zhang, Wenbo Cao","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-10-25T09:19:40Z","title":"TSONN: Time-stepping-oriented neural network for solving partial differential equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.16491","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":"sha256:0b256f72e8c48bf647d5213d7945855c7505729b84dfd36f8819f93754ecae1f","target":"record","created_at":"2026-07-05T07:04:58Z","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":"c135febd862ab5472030eeb14d7e1205e21f58f0ecec7bf5d312328516c9f28c","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-10-25T09:19:40Z","title_canon_sha256":"574d6e202158377bf76904af7c69657101216456b1064a75a9f98e2eb520a461"},"schema_version":"1.0","source":{"id":"2310.16491","kind":"arxiv","version":1}},"canonical_sha256":"7c2dcdb1be27bc1d2ab75202730f143ef401bbfada458c5493cff660d79f8221","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c2dcdb1be27bc1d2ab75202730f143ef401bbfada458c5493cff660d79f8221","first_computed_at":"2026-07-05T07:04:58.298931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:04:58.298931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jtoBCLcX9CLWCv9PH1Ykgbgms030xloiJrTI0pUWemjHCZ+AMsWkhnEzNO2m3YZmi86OBmTqL1wWr0CEitEODg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:04:58.299434Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.16491","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b256f72e8c48bf647d5213d7945855c7505729b84dfd36f8819f93754ecae1f","sha256:d2ba0c37799b3d6267cd3ec91c1ee4a48da2e538b5f36ce5bb52254152bbc426"],"state_sha256":"33f9cd97955294a9c01f4b52181bddba632ef6935507f07dd1d7109ef4b82299"}