{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:55RH6RPC3RRZIMTTD2D24LOOTF","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":"e68239fe852f3c4e60c2ac6e596f625b52734498522d9ea65a60b0b0943ad563","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2025-05-16T23:30:13Z","title_canon_sha256":"7a3783ccec06f66b25fee134be45f898101590c7b4a50b33508929bbc3ae58b1"},"schema_version":"1.0","source":{"id":"2505.11755","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.11755","created_at":"2026-07-05T11:05:45Z"},{"alias_kind":"arxiv_version","alias_value":"2505.11755v2","created_at":"2026-07-05T11:05:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.11755","created_at":"2026-07-05T11:05:45Z"},{"alias_kind":"pith_short_12","alias_value":"55RH6RPC3RRZ","created_at":"2026-07-05T11:05:45Z"},{"alias_kind":"pith_short_16","alias_value":"55RH6RPC3RRZIMTT","created_at":"2026-07-05T11:05:45Z"},{"alias_kind":"pith_short_8","alias_value":"55RH6RPC","created_at":"2026-07-05T11:05:45Z"}],"graph_snapshots":[{"event_id":"sha256:493ac21093a2d5db4f0b6a7391e98ace3e7861dfb7f0d469d7a5b903d25dfe86","target":"graph","created_at":"2026-07-05T11:05:45Z","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/2505.11755/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent developments in autonomous driving and robotics underscore the necessity of safety-critical controllers. Control barrier functions (CBFs) are a popular method for appending safety guarantees to a general control framework, but they are notoriously difficult to generate beyond low dimensions. Existing methods often yield non-differentiable or inaccurate approximations that lack integrity, and thus fail to ensure safety. In this work, we use physics-informed neural networks (PINNs) to generate smooth approximations of CBFs by computing Hamilton-Jacobi (HJ) optimal control solutions. These","authors_text":"Hyun Joe Jeong, Matthew Kim, Sander Tonkens, Somil Bansal, Sylvia Herbert, William Sharpless","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2025-05-16T23:30:13Z","title":"Reachability Barrier Networks: Learning Hamilton-Jacobi Solutions for Smooth and Flexible Control Barrier Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.11755","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":"sha256:8a348208c4c72362add958b4be926db44c6073c68193e312e89961efc490d18a","target":"record","created_at":"2026-07-05T11:05:45Z","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":"e68239fe852f3c4e60c2ac6e596f625b52734498522d9ea65a60b0b0943ad563","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2025-05-16T23:30:13Z","title_canon_sha256":"7a3783ccec06f66b25fee134be45f898101590c7b4a50b33508929bbc3ae58b1"},"schema_version":"1.0","source":{"id":"2505.11755","kind":"arxiv","version":2}},"canonical_sha256":"ef627f45e2dc639432731e87ae2dce9943a0e282d757a4b781b7eb7f23824cc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef627f45e2dc639432731e87ae2dce9943a0e282d757a4b781b7eb7f23824cc5","first_computed_at":"2026-07-05T11:05:45.034221Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:05:45.034221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0uF53TxAi1MWGtU/Nmwqrg/2uBMlDyiVero2HTXXyDzCKfSI2zHaK5i3EvXAZkmlHvaQ0RPdmZCsM0vMARoYDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:05:45.034708Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.11755","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a348208c4c72362add958b4be926db44c6073c68193e312e89961efc490d18a","sha256:493ac21093a2d5db4f0b6a7391e98ace3e7861dfb7f0d469d7a5b903d25dfe86"],"state_sha256":"53a4673ffd867386e33df8e369df37752177e1caeebccd2484458c36b90b29a3"}