{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:UBHRDNCDZBZTWCGBXP6QFHDELB","short_pith_number":"pith:UBHRDNCD","canonical_record":{"source":{"id":"2410.07796","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2024-10-10T10:28:47Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"13d23f09b99b369ba6bed9310143c15a52e361410bc51a23f99ab97a2c7114df","abstract_canon_sha256":"ba6b111ec7d7962cd2403ea11d34a74e14f0b6527889e65da4368bedaa395e3a"},"schema_version":"1.0"},"canonical_sha256":"a04f11b443c8733b08c1bbfd029c64585b0527d2a32728afc0bdb73dd28956c3","source":{"kind":"arxiv","id":"2410.07796","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.07796","created_at":"2026-07-05T09:28:34Z"},{"alias_kind":"arxiv_version","alias_value":"2410.07796v1","created_at":"2026-07-05T09:28:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.07796","created_at":"2026-07-05T09:28:34Z"},{"alias_kind":"pith_short_12","alias_value":"UBHRDNCDZBZT","created_at":"2026-07-05T09:28:34Z"},{"alias_kind":"pith_short_16","alias_value":"UBHRDNCDZBZTWCGB","created_at":"2026-07-05T09:28:34Z"},{"alias_kind":"pith_short_8","alias_value":"UBHRDNCD","created_at":"2026-07-05T09:28:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:UBHRDNCDZBZTWCGBXP6QFHDELB","target":"record","payload":{"canonical_record":{"source":{"id":"2410.07796","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2024-10-10T10:28:47Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"13d23f09b99b369ba6bed9310143c15a52e361410bc51a23f99ab97a2c7114df","abstract_canon_sha256":"ba6b111ec7d7962cd2403ea11d34a74e14f0b6527889e65da4368bedaa395e3a"},"schema_version":"1.0"},"canonical_sha256":"a04f11b443c8733b08c1bbfd029c64585b0527d2a32728afc0bdb73dd28956c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:28:34.658166Z","signature_b64":"rhmjrozhBrCaGhjevMWeBTeOtPyW7Ts3qAKQ3Ej+BUyiQNPtOsomYDmxYlvDpXrOSfLZvpPxv6OHA4Zs2dquBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a04f11b443c8733b08c1bbfd029c64585b0527d2a32728afc0bdb73dd28956c3","last_reissued_at":"2026-07-05T09:28:34.657649Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:28:34.657649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.07796","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:28:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h9FYo+D/PXzD5r4tOOkSEHzagUFFtYnO91/1avpgzOQnYnnZYMTmt7w/WWJgkzDkCd77AV98okbrUrquX+lhBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T09:34:22.357240Z"},"content_sha256":"0dd1105933bbc321ef22aa5044b0f1dc550d25562d1edc9a9887764246d1ff92","schema_version":"1.0","event_id":"sha256:0dd1105933bbc321ef22aa5044b0f1dc550d25562d1edc9a9887764246d1ff92"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:UBHRDNCDZBZTWCGBXP6QFHDELB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reachability Analysis for Black-Box Dynamical Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Somil Bansal, Vamsi Krishna Chilakamarri, Zeyuan Feng","submitted_at":"2024-10-10T10:28:47Z","abstract_excerpt":"Hamilton-Jacobi (HJ) reachability analysis is a powerful framework for ensuring safety and performance in autonomous systems. However, existing methods typically rely on a white-box dynamics model of the system, limiting their applicability in many practical robotics scenarios where only a black-box model of the system is available. In this work, we propose a novel reachability method to compute reachable sets and safe controllers for black-box dynamical systems. Our approach efficiently approximates the Hamiltonian function using samples from the black-box dynamics. This Hamiltonian is then u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.07796","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.07796/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:28:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f85T7U41DlJGPTeb3xNUsDI9rLeZ6f2uV8bx+peP9c2ocD049Moz9/CNsfVWckLtaYAE5TqyxDQHIfKioEjOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T09:34:22.357733Z"},"content_sha256":"23cb7eb97d66910ddbfe7fe7dd71fce9b6c0db9c57b08ba3359b3b7e912e5e09","schema_version":"1.0","event_id":"sha256:23cb7eb97d66910ddbfe7fe7dd71fce9b6c0db9c57b08ba3359b3b7e912e5e09"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UBHRDNCDZBZTWCGBXP6QFHDELB/bundle.json","state_url":"https://pith.science/pith/UBHRDNCDZBZTWCGBXP6QFHDELB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UBHRDNCDZBZTWCGBXP6QFHDELB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-10T09:34:22Z","links":{"resolver":"https://pith.science/pith/UBHRDNCDZBZTWCGBXP6QFHDELB","bundle":"https://pith.science/pith/UBHRDNCDZBZTWCGBXP6QFHDELB/bundle.json","state":"https://pith.science/pith/UBHRDNCDZBZTWCGBXP6QFHDELB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UBHRDNCDZBZTWCGBXP6QFHDELB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:UBHRDNCDZBZTWCGBXP6QFHDELB","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":"ba6b111ec7d7962cd2403ea11d34a74e14f0b6527889e65da4368bedaa395e3a","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2024-10-10T10:28:47Z","title_canon_sha256":"13d23f09b99b369ba6bed9310143c15a52e361410bc51a23f99ab97a2c7114df"},"schema_version":"1.0","source":{"id":"2410.07796","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.07796","created_at":"2026-07-05T09:28:34Z"},{"alias_kind":"arxiv_version","alias_value":"2410.07796v1","created_at":"2026-07-05T09:28:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.07796","created_at":"2026-07-05T09:28:34Z"},{"alias_kind":"pith_short_12","alias_value":"UBHRDNCDZBZT","created_at":"2026-07-05T09:28:34Z"},{"alias_kind":"pith_short_16","alias_value":"UBHRDNCDZBZTWCGB","created_at":"2026-07-05T09:28:34Z"},{"alias_kind":"pith_short_8","alias_value":"UBHRDNCD","created_at":"2026-07-05T09:28:34Z"}],"graph_snapshots":[{"event_id":"sha256:23cb7eb97d66910ddbfe7fe7dd71fce9b6c0db9c57b08ba3359b3b7e912e5e09","target":"graph","created_at":"2026-07-05T09:28:34Z","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/2410.07796/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hamilton-Jacobi (HJ) reachability analysis is a powerful framework for ensuring safety and performance in autonomous systems. However, existing methods typically rely on a white-box dynamics model of the system, limiting their applicability in many practical robotics scenarios where only a black-box model of the system is available. In this work, we propose a novel reachability method to compute reachable sets and safe controllers for black-box dynamical systems. Our approach efficiently approximates the Hamiltonian function using samples from the black-box dynamics. This Hamiltonian is then u","authors_text":"Somil Bansal, Vamsi Krishna Chilakamarri, Zeyuan Feng","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2024-10-10T10:28:47Z","title":"Reachability Analysis for Black-Box Dynamical Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.07796","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":"sha256:0dd1105933bbc321ef22aa5044b0f1dc550d25562d1edc9a9887764246d1ff92","target":"record","created_at":"2026-07-05T09:28:34Z","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":"ba6b111ec7d7962cd2403ea11d34a74e14f0b6527889e65da4368bedaa395e3a","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2024-10-10T10:28:47Z","title_canon_sha256":"13d23f09b99b369ba6bed9310143c15a52e361410bc51a23f99ab97a2c7114df"},"schema_version":"1.0","source":{"id":"2410.07796","kind":"arxiv","version":1}},"canonical_sha256":"a04f11b443c8733b08c1bbfd029c64585b0527d2a32728afc0bdb73dd28956c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a04f11b443c8733b08c1bbfd029c64585b0527d2a32728afc0bdb73dd28956c3","first_computed_at":"2026-07-05T09:28:34.657649Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:28:34.657649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rhmjrozhBrCaGhjevMWeBTeOtPyW7Ts3qAKQ3Ej+BUyiQNPtOsomYDmxYlvDpXrOSfLZvpPxv6OHA4Zs2dquBg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:28:34.658166Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.07796","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0dd1105933bbc321ef22aa5044b0f1dc550d25562d1edc9a9887764246d1ff92","sha256:23cb7eb97d66910ddbfe7fe7dd71fce9b6c0db9c57b08ba3359b3b7e912e5e09"],"state_sha256":"c1832d0e70d7da468bff8fc22fa6576739126d9002cce62d59862a8054aefd9b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sDTxJqvKFMg/3oaSC+HmkPvmGFBZ7N7z5FYwUDHE7xTA/TtqjfaknfrUWbSgZcT040fZOTdQRXDgTNyn4ObmAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T09:34:22.361522Z","bundle_sha256":"ccc7d5c9bb4f845ba7981355ca3267f6d9de502693d0390cbe763575c8a641d2"}}