{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:J6SLSIPORKYIO3TBUFZWG7TC5X","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":"ebe079c878fa1ba7b0fe8ed8dd9a332a0f491590ef37d85f6bda4a685c24ee3f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2024-06-06T00:11:51Z","title_canon_sha256":"be4785ba31d765fa86574cb8d37e7321166951d1643a9991c1ca94e9da9a6b66"},"schema_version":"1.0","source":{"id":"2406.04380","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.04380","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"arxiv_version","alias_value":"2406.04380v1","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.04380","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"pith_short_12","alias_value":"J6SLSIPORKYI","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"J6SLSIPORKYIO3TB","created_at":"2026-07-05T08:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"J6SLSIPO","created_at":"2026-07-05T08:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:f09f73e89b2075567cc3816d84df97a1e1e6a0356495fe7175642207dc6e6a9d","target":"graph","created_at":"2026-07-05T08:28:43Z","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/2406.04380/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Physics-informed neural networks (PINNs) have emerged as a promising numerical method based on deep learning for modeling boundary value problems, showcasing promising results in various fields. In this work, we use PINNs to discretize three-dimensional electromagnetic, parametric problems, with material discontinuities, covering both static and transient regimes. By replacing the discontinuous material properties with a continuous approximation, we eliminate the need to directly enforce interface conditions. Using the Neural Tangent Kernel (NTK) analysis, we show that using the first-order fo","authors_text":"Michel Nohra, Steven Dufour","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2024-06-06T00:11:51Z","title":"Physics-Informed Neural Networks for the Numerical Modeling of Steady-State and Transient Electromagnetic Problems with Discontinuous Media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.04380","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":"sha256:0db443369c159d4128171a3a8d42eb1e8b93b84b399e48b78a3ba080d0f6ee01","target":"record","created_at":"2026-07-05T08:28:43Z","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":"ebe079c878fa1ba7b0fe8ed8dd9a332a0f491590ef37d85f6bda4a685c24ee3f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2024-06-06T00:11:51Z","title_canon_sha256":"be4785ba31d765fa86574cb8d37e7321166951d1643a9991c1ca94e9da9a6b66"},"schema_version":"1.0","source":{"id":"2406.04380","kind":"arxiv","version":1}},"canonical_sha256":"4fa4b921ee8ab0876e61a173637e62ede88e0432876b77e81a2fe56260c150ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fa4b921ee8ab0876e61a173637e62ede88e0432876b77e81a2fe56260c150ea","first_computed_at":"2026-07-05T08:28:43.270402Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:28:43.270402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YS20ii5kP19MkcavPqsiiHp67AYdOEWmn2n3XTTFUtSml/SRk2cvAzmWLiYa5ck11Wh1uqEVmazwSYb+B1yZAw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:28:43.270873Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.04380","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0db443369c159d4128171a3a8d42eb1e8b93b84b399e48b78a3ba080d0f6ee01","sha256:f09f73e89b2075567cc3816d84df97a1e1e6a0356495fe7175642207dc6e6a9d"],"state_sha256":"a3c36895d785ee53d04c56231c338f0cd51f6f41e2ba776813d51c1fcdc75529"}