{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:TX2TC7FU3DYFEKV2E4CT5OVIQK","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":"18bde5f439730b14b4af45f757cb192b1373111cfb603fb4357cb636682b3b5f","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2020-11-23T18:35:53Z","title_canon_sha256":"0bdc58b6723dc8c3f54918b61cd5e5a32576c3c199000a146b89e05f40859b61"},"schema_version":"1.0","source":{"id":"2011.11609","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.11609","created_at":"2026-07-05T02:28:18Z"},{"alias_kind":"arxiv_version","alias_value":"2011.11609v2","created_at":"2026-07-05T02:28:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.11609","created_at":"2026-07-05T02:28:18Z"},{"alias_kind":"pith_short_12","alias_value":"TX2TC7FU3DYF","created_at":"2026-07-05T02:28:18Z"},{"alias_kind":"pith_short_16","alias_value":"TX2TC7FU3DYFEKV2","created_at":"2026-07-05T02:28:18Z"},{"alias_kind":"pith_short_8","alias_value":"TX2TC7FU","created_at":"2026-07-05T02:28:18Z"}],"graph_snapshots":[{"event_id":"sha256:03b449297c4852b904fb6228e50aabf6149d5fee58a5a163d3ebbafbce8f27fd","target":"graph","created_at":"2026-07-05T02:28:18Z","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/2011.11609/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a method for computing exact reachable sets for deep neural networks with rectified linear unit (ReLU) activation. Our method is well-suited for use in rigorous safety analysis of robotic perception and control systems with deep neural network components. Our algorithm can compute both forward and backward reachable sets for a ReLU network iterated over multiple time steps, as would be found in a perception-action loop in a robotic system. Our algorithm is unique in that it builds the reachable sets by incrementally enumerating polyhedral cells in the input space, rather than iterat","authors_text":"Joseph A. Vincent, Mac Schwager","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2020-11-23T18:35:53Z","title":"Reachable Polyhedral Marching (RPM): A Safety Verification Algorithm for Robotic Systems with Deep Neural Network Components"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.11609","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":"sha256:9285338dea3925e6f18fb9d9e809b9bc74d212f01eaa95706d6bff375cdfd58d","target":"record","created_at":"2026-07-05T02:28:18Z","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":"18bde5f439730b14b4af45f757cb192b1373111cfb603fb4357cb636682b3b5f","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.RO","submitted_at":"2020-11-23T18:35:53Z","title_canon_sha256":"0bdc58b6723dc8c3f54918b61cd5e5a32576c3c199000a146b89e05f40859b61"},"schema_version":"1.0","source":{"id":"2011.11609","kind":"arxiv","version":2}},"canonical_sha256":"9df5317cb4d8f0522aba27053ebaa88290dee8ab06d4dcae4e885c8315445416","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9df5317cb4d8f0522aba27053ebaa88290dee8ab06d4dcae4e885c8315445416","first_computed_at":"2026-07-05T02:28:18.968882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:28:18.968882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ymr9luLskWWWxu2SlZnGQlYTppSA0HU+QcOrcjkLQg00ab7oSXCpnlcY8KhYZUZad1O3rrmsN5IfPSeWfw30Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:28:18.969449Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.11609","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9285338dea3925e6f18fb9d9e809b9bc74d212f01eaa95706d6bff375cdfd58d","sha256:03b449297c4852b904fb6228e50aabf6149d5fee58a5a163d3ebbafbce8f27fd"],"state_sha256":"1009406fcee3d414a641afb1f9404592bcc038f9462eb24a520e0d8ac98ba335"}