{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MEG5CCUVP55EHPSA3B3X5PHLFD","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":"ad0445485ffb6e8f6e915ddb14edd73c2adb44caaf1e2a603029bbe764ffb015","cross_cats_sorted":["cs.SY","math.OC"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2024-03-25T17:43:50Z","title_canon_sha256":"35ee2009cfc37c18a0b16e840958d23c905206dc267b4ad7ec5d6347cce3f877"},"schema_version":"1.0","source":{"id":"2403.16982","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.16982","created_at":"2026-07-05T11:24:03Z"},{"alias_kind":"arxiv_version","alias_value":"2403.16982v3","created_at":"2026-07-05T11:24:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.16982","created_at":"2026-07-05T11:24:03Z"},{"alias_kind":"pith_short_12","alias_value":"MEG5CCUVP55E","created_at":"2026-07-05T11:24:03Z"},{"alias_kind":"pith_short_16","alias_value":"MEG5CCUVP55EHPSA","created_at":"2026-07-05T11:24:03Z"},{"alias_kind":"pith_short_8","alias_value":"MEG5CCUV","created_at":"2026-07-05T11:24:03Z"}],"graph_snapshots":[{"event_id":"sha256:cee348a67e1460039efa05be5c32261cd1d0bda5801b6feeb2f907931fe7ae35","target":"graph","created_at":"2026-07-05T11:24:03Z","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/2403.16982/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hamilton-Jacobi Reachability (HJR) is a popular method for analyzing the liveness and safety of a dynamical system with bounded control and disturbance. The corresponding HJ value function offers a robust controller and characterizes the reachable sets, but is traditionally solved with Dynamic Programming (DP) and limited to systems of dimension less than six. Recently, the space-parallelizeable, generalized Hopf formula has been shown to also solve the HJ value with a nearly three-log increase in dimension limit, but is limited to linear systems. To extend this potential, we demonstrate how s","authors_text":"Sylvia Herbert, Will Sharpless, Yat Tin Chow","cross_cats":["cs.SY","math.OC"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2024-03-25T17:43:50Z","title":"State-Augmented Linear Games with Antagonistic Error for High-Dimensional, Nonlinear Hamilton-Jacobi Reachability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.16982","kind":"arxiv","version":3},"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":"sha256:744ba849b5153a2ce1c34e69d836317a614dc6b698e46593ddf470528fc09efd","target":"record","created_at":"2026-07-05T11:24:03Z","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":"ad0445485ffb6e8f6e915ddb14edd73c2adb44caaf1e2a603029bbe764ffb015","cross_cats_sorted":["cs.SY","math.OC"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2024-03-25T17:43:50Z","title_canon_sha256":"35ee2009cfc37c18a0b16e840958d23c905206dc267b4ad7ec5d6347cce3f877"},"schema_version":"1.0","source":{"id":"2403.16982","kind":"arxiv","version":3}},"canonical_sha256":"610dd10a957f7a43be40d8777ebceb28e4d607d9d4f3fc1f9782599df6f599e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"610dd10a957f7a43be40d8777ebceb28e4d607d9d4f3fc1f9782599df6f599e3","first_computed_at":"2026-07-05T11:24:03.131704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:24:03.131704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v03nWO0TjR/TwdqTj8iPrmEtIYiCXgJVTOnHlFP9QiyP/1zYFjytBx5AZ95TOPaJmYg0r5YIsUQQ/MqwteWlCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:24:03.132369Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.16982","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:744ba849b5153a2ce1c34e69d836317a614dc6b698e46593ddf470528fc09efd","sha256:cee348a67e1460039efa05be5c32261cd1d0bda5801b6feeb2f907931fe7ae35"],"state_sha256":"f36988080846b813076954a65ea64282cbd0d9a4098cd25210cb61df34821fc9"}