{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:XLTAPJ3T7LOZKX5OCWLYB7Q6YJ","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":"205f98f1b80e10def08b27f3a529506e3627ab774c419f86df2b0485f6685d0a","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2021-02-09T03:18:15Z","title_canon_sha256":"236c68bd2d7ec324cf45ffbc92e066ca36cfa1e3f2f089165fe2b1e9303ef418"},"schema_version":"1.0","source":{"id":"2102.04626","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.04626","created_at":"2026-07-05T03:48:39Z"},{"alias_kind":"arxiv_version","alias_value":"2102.04626v1","created_at":"2026-07-05T03:48:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.04626","created_at":"2026-07-05T03:48:39Z"},{"alias_kind":"pith_short_12","alias_value":"XLTAPJ3T7LOZ","created_at":"2026-07-05T03:48:39Z"},{"alias_kind":"pith_short_16","alias_value":"XLTAPJ3T7LOZKX5O","created_at":"2026-07-05T03:48:39Z"},{"alias_kind":"pith_short_8","alias_value":"XLTAPJ3T","created_at":"2026-07-05T03:48:39Z"}],"graph_snapshots":[{"event_id":"sha256:340dd3807d02b487839c3f0b671b3c7923b537bd5d7ee2aa885faf8a4234c272","target":"graph","created_at":"2026-07-05T03:48:39Z","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/2102.04626/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Inverse design arises in a variety of areas in engineering such as acoustic, mechanics, thermal/electronic transport, electromagnetism, and optics. Topology optimization is a major form of inverse design, where we optimize a designed geometry to achieve targeted properties and the geometry is parameterized by a density function. This optimization is challenging, because it has a very high dimensionality and is usually constrained by partial differential equations (PDEs) and additional inequalities. Here, we propose a new deep learning method -- physics-informed neural networks with hard constr","authors_text":"Francesc Verdugo, Lu Lu, Raphael Pestourie, Steven G. Johnson, Wenjie Yao, Zhicheng Wang","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2021-02-09T03:18:15Z","title":"Physics-informed neural networks with hard constraints for inverse design"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.04626","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:d4a1eaee9cb179a33f5351665fdd5b84bd87985e56c9d1417c1f0374d1de3842","target":"record","created_at":"2026-07-05T03:48:39Z","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":"205f98f1b80e10def08b27f3a529506e3627ab774c419f86df2b0485f6685d0a","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2021-02-09T03:18:15Z","title_canon_sha256":"236c68bd2d7ec324cf45ffbc92e066ca36cfa1e3f2f089165fe2b1e9303ef418"},"schema_version":"1.0","source":{"id":"2102.04626","kind":"arxiv","version":1}},"canonical_sha256":"bae607a773fadd955fae159780fe1ec2622a9d38cc02c18427ea89bb4c852f5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bae607a773fadd955fae159780fe1ec2622a9d38cc02c18427ea89bb4c852f5e","first_computed_at":"2026-07-05T03:48:39.356488Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:48:39.356488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I1Ekdc/bpw8JJ0ykd0KPGUG9XSLKpCfyHQ0HeZgbvb9CFqd7Lg62JUGdnUl0f++mKamq56tVbAYaDeNbRBelBA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:48:39.356911Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.04626","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4a1eaee9cb179a33f5351665fdd5b84bd87985e56c9d1417c1f0374d1de3842","sha256:340dd3807d02b487839c3f0b671b3c7923b537bd5d7ee2aa885faf8a4234c272"],"state_sha256":"28e458a91fbec708c56cbec663d95881ba2648141bbb7434a7cf9c6a88aef636"}