{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:Z5XMOFWHLQNPVVARTLU2DHT6SZ","short_pith_number":"pith:Z5XMOFWH","canonical_record":{"source":{"id":"1209.5927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-26T13:15:54Z","cross_cats_sorted":[],"title_canon_sha256":"06b363ba7ad06c718589a45457f51ebe688e5efd1e76a09a686a462ba83648ab","abstract_canon_sha256":"8a5eb5626473e20cf9d4d0313f3f135f73e0cc55f539379270e80c1b7fadba49"},"schema_version":"1.0"},"canonical_sha256":"cf6ec716c75c1afad4119ae9a19e7e967458e67120b9a4cc857f2e67eee4b88a","source":{"kind":"arxiv","id":"1209.5927","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5927","created_at":"2026-05-18T03:44:45Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5927v1","created_at":"2026-05-18T03:44:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5927","created_at":"2026-05-18T03:44:45Z"},{"alias_kind":"pith_short_12","alias_value":"Z5XMOFWHLQNP","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"Z5XMOFWHLQNPVVAR","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"Z5XMOFWH","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:Z5XMOFWHLQNPVVARTLU2DHT6SZ","target":"record","payload":{"canonical_record":{"source":{"id":"1209.5927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-26T13:15:54Z","cross_cats_sorted":[],"title_canon_sha256":"06b363ba7ad06c718589a45457f51ebe688e5efd1e76a09a686a462ba83648ab","abstract_canon_sha256":"8a5eb5626473e20cf9d4d0313f3f135f73e0cc55f539379270e80c1b7fadba49"},"schema_version":"1.0"},"canonical_sha256":"cf6ec716c75c1afad4119ae9a19e7e967458e67120b9a4cc857f2e67eee4b88a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:45.878792Z","signature_b64":"l0oZ+rzlOpBhPGw43MUKbWivWaR2zaiA4B+UBp9JGSMyYeFzSoCD+R4aGPXy3eFr56lVjThxyX7SPDnNLhSuDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf6ec716c75c1afad4119ae9a19e7e967458e67120b9a4cc857f2e67eee4b88a","last_reissued_at":"2026-05-18T03:44:45.878103Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:45.878103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.5927","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":"2026-05-18T03:44:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jZSBIHbzcqrV2+zk+laChc5CZCDkUCnDze8I7BH4pBvRlzaK6V0h7I7mBYQH2YuJaHFjcp9YASzhw2hUrw2qCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T19:26:26.722823Z"},"content_sha256":"2494d10265579fbca96e00f19c65f3e8e64b58d7260af72e964cdd42c63cfda5","schema_version":"1.0","event_id":"sha256:2494d10265579fbca96e00f19c65f3e8e64b58d7260af72e964cdd42c63cfda5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:Z5XMOFWHLQNPVVARTLU2DHT6SZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reachability of Delayed Hybrid Systems Using Level-set Methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Giovanni Granato (INRIA Saclay - Ile de France, UMA)","submitted_at":"2012-09-26T13:15:54Z","abstract_excerpt":"This study proposes an algorithm to synthesize controllers for the power management on board hybrid vehicles that allows the vehicle to reach its maximum range along a given route. The algorithm stems from a level-set approach that computes the reachable set of the system, i.e., the collection of states reachable from a certain initial condition via the computation of the value function of an optimal control problem. The discrete-time vehicle model is one of a particular class of hybrid vehicles, namely, range extender electric vehicles (REEV). This kind of hybridization departures from a full"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5927","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":""},"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":"2026-05-18T03:44:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sQW3D1E2W42ueV4wcdQY+WxObkSEYuMa/xcjexUCpoKa2u0twvZRwRcqs+t4jahxmeIK15jY1Iby74Gbg78MDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T19:26:26.723532Z"},"content_sha256":"a77fcd44bb30d7c0d2a5df524cf133e58b34fbe622cf3292d96df24413a52f91","schema_version":"1.0","event_id":"sha256:a77fcd44bb30d7c0d2a5df524cf133e58b34fbe622cf3292d96df24413a52f91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z5XMOFWHLQNPVVARTLU2DHT6SZ/bundle.json","state_url":"https://pith.science/pith/Z5XMOFWHLQNPVVARTLU2DHT6SZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z5XMOFWHLQNPVVARTLU2DHT6SZ/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":"2026-05-24T19:26:26Z","links":{"resolver":"https://pith.science/pith/Z5XMOFWHLQNPVVARTLU2DHT6SZ","bundle":"https://pith.science/pith/Z5XMOFWHLQNPVVARTLU2DHT6SZ/bundle.json","state":"https://pith.science/pith/Z5XMOFWHLQNPVVARTLU2DHT6SZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z5XMOFWHLQNPVVARTLU2DHT6SZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Z5XMOFWHLQNPVVARTLU2DHT6SZ","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":"8a5eb5626473e20cf9d4d0313f3f135f73e0cc55f539379270e80c1b7fadba49","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-26T13:15:54Z","title_canon_sha256":"06b363ba7ad06c718589a45457f51ebe688e5efd1e76a09a686a462ba83648ab"},"schema_version":"1.0","source":{"id":"1209.5927","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5927","created_at":"2026-05-18T03:44:45Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5927v1","created_at":"2026-05-18T03:44:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5927","created_at":"2026-05-18T03:44:45Z"},{"alias_kind":"pith_short_12","alias_value":"Z5XMOFWHLQNP","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"Z5XMOFWHLQNPVVAR","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"Z5XMOFWH","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:a77fcd44bb30d7c0d2a5df524cf133e58b34fbe622cf3292d96df24413a52f91","target":"graph","created_at":"2026-05-18T03:44:45Z","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"},"paper":{"abstract_excerpt":"This study proposes an algorithm to synthesize controllers for the power management on board hybrid vehicles that allows the vehicle to reach its maximum range along a given route. The algorithm stems from a level-set approach that computes the reachable set of the system, i.e., the collection of states reachable from a certain initial condition via the computation of the value function of an optimal control problem. The discrete-time vehicle model is one of a particular class of hybrid vehicles, namely, range extender electric vehicles (REEV). This kind of hybridization departures from a full","authors_text":"Giovanni Granato (INRIA Saclay - Ile de France, UMA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-26T13:15:54Z","title":"Reachability of Delayed Hybrid Systems Using Level-set Methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5927","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":"sha256:2494d10265579fbca96e00f19c65f3e8e64b58d7260af72e964cdd42c63cfda5","target":"record","created_at":"2026-05-18T03:44:45Z","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":"8a5eb5626473e20cf9d4d0313f3f135f73e0cc55f539379270e80c1b7fadba49","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-26T13:15:54Z","title_canon_sha256":"06b363ba7ad06c718589a45457f51ebe688e5efd1e76a09a686a462ba83648ab"},"schema_version":"1.0","source":{"id":"1209.5927","kind":"arxiv","version":1}},"canonical_sha256":"cf6ec716c75c1afad4119ae9a19e7e967458e67120b9a4cc857f2e67eee4b88a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf6ec716c75c1afad4119ae9a19e7e967458e67120b9a4cc857f2e67eee4b88a","first_computed_at":"2026-05-18T03:44:45.878103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:45.878103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l0oZ+rzlOpBhPGw43MUKbWivWaR2zaiA4B+UBp9JGSMyYeFzSoCD+R4aGPXy3eFr56lVjThxyX7SPDnNLhSuDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:45.878792Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.5927","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2494d10265579fbca96e00f19c65f3e8e64b58d7260af72e964cdd42c63cfda5","sha256:a77fcd44bb30d7c0d2a5df524cf133e58b34fbe622cf3292d96df24413a52f91"],"state_sha256":"ae1e52e60ff2e209a97c590e34eeb808f16b7e64fa86fa01fa172a48b7c1aa36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zav4hX5b10s5bMnASxRJpjbvbjRELhnwAplqHeVgJexuDISJKRMWtqkZVBOhsl+Xhj6rjIUPLtMDVIWXXA3+Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T19:26:26.727200Z","bundle_sha256":"848c6fad0243f91b183c6b08b9c9e9b14b26d615780f45752af768ed2309d8ca"}}