{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:HJTEQD3EZ2RMKS3QQLSRWOED6T","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":"704f485db380d08c4ba6a83362d53229a028b7949dafcc24d07e87c3407cb7dd","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-12-28T18:38:53Z","title_canon_sha256":"db073898545ef46c038bc31edf861c14c0df4235b58f95ee4f126d79fd003657"},"schema_version":"1.0","source":{"id":"2212.14012","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.14012","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"arxiv_version","alias_value":"2212.14012v2","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.14012","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"pith_short_12","alias_value":"HJTEQD3EZ2RM","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"pith_short_16","alias_value":"HJTEQD3EZ2RMKS3Q","created_at":"2026-07-05T05:32:49Z"},{"alias_kind":"pith_short_8","alias_value":"HJTEQD3E","created_at":"2026-07-05T05:32:49Z"}],"graph_snapshots":[{"event_id":"sha256:a4afbe153b15cee160224a48b27a39241828eef44835c6c3dd5866bd5524613c","target":"graph","created_at":"2026-07-05T05:32:49Z","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/2212.14012/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose characteristics-informed neural networks (CINN), a simple and efficient machine learning approach for solving forward and inverse problems involving hyperbolic PDEs. Like physics-informed neural networks (PINN), CINN is a meshless machine learning solver with universal approximation capabilities. Unlike PINN, which enforces a PDE softly via a multi-part loss function, CINN encodes the characteristics of the PDE in a general-purpose deep neural network by adding a characteristic layer. This neural network is trained with the usual MSE data-fitting regression loss and does not require","authors_text":"Ulisses Braga-Neto","cross_cats":["physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-12-28T18:38:53Z","title":"Characteristics-Informed Neural Networks for Forward and Inverse Hyperbolic Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.14012","kind":"arxiv","version":2},"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":"sha256:3654c1d7bc2c8bd67ec046ee831117e96b4a156f34d8e2b9b62e2242b6b69c1c","target":"record","created_at":"2026-07-05T05:32:49Z","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":"704f485db380d08c4ba6a83362d53229a028b7949dafcc24d07e87c3407cb7dd","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-12-28T18:38:53Z","title_canon_sha256":"db073898545ef46c038bc31edf861c14c0df4235b58f95ee4f126d79fd003657"},"schema_version":"1.0","source":{"id":"2212.14012","kind":"arxiv","version":2}},"canonical_sha256":"3a66480f64cea2c54b7082e51b3883f4d7c000a4150270fc095feea690753cdf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a66480f64cea2c54b7082e51b3883f4d7c000a4150270fc095feea690753cdf","first_computed_at":"2026-07-05T05:32:49.949557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:32:49.949557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pd5mcGl4uRRLr/vfJFexO56/mv7b9oq1XPk4Tu9l/wz3qAvYepGs3amGTKpC6S/K7QVCJBo90xN7F79YMPmPCg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:32:49.950005Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.14012","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3654c1d7bc2c8bd67ec046ee831117e96b4a156f34d8e2b9b62e2242b6b69c1c","sha256:a4afbe153b15cee160224a48b27a39241828eef44835c6c3dd5866bd5524613c"],"state_sha256":"26848f89adaad27df4a76957849ee9981792033a36ca0de38445f49df335e92d"}