{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:RLDZQ45IRIAJQGHBSSU5MGWMRW","short_pith_number":"pith:RLDZQ45I","canonical_record":{"source":{"id":"1801.07564","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-01-23T14:30:09Z","cross_cats_sorted":[],"title_canon_sha256":"aa5c8e70323dedfdd3a08c687460359b4a0fb57a192484b217f236baab5b2c1c","abstract_canon_sha256":"68796afd8d3bfcf0bd63c69c6560420d87cc323f6426f21bb8ae3a740a5de303"},"schema_version":"1.0"},"canonical_sha256":"8ac79873a88a009818e194a9d61acc8da916d9c6dc7d84edc6834387cf8f8aea","source":{"kind":"arxiv","id":"1801.07564","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.07564","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"1801.07564v3","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07564","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"RLDZQ45IRIAJ","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RLDZQ45IRIAJQGHB","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RLDZQ45I","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:RLDZQ45IRIAJQGHBSSU5MGWMRW","target":"record","payload":{"canonical_record":{"source":{"id":"1801.07564","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-01-23T14:30:09Z","cross_cats_sorted":[],"title_canon_sha256":"aa5c8e70323dedfdd3a08c687460359b4a0fb57a192484b217f236baab5b2c1c","abstract_canon_sha256":"68796afd8d3bfcf0bd63c69c6560420d87cc323f6426f21bb8ae3a740a5de303"},"schema_version":"1.0"},"canonical_sha256":"8ac79873a88a009818e194a9d61acc8da916d9c6dc7d84edc6834387cf8f8aea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:32.311857Z","signature_b64":"1E2T1SIP+uRLga7JMVmb/OBFJZZWPlyUJmBS4n63e52g9JaM85VTJTDane5bNQX6gbgCLf71ixQOyGHxDUqNAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8ac79873a88a009818e194a9d61acc8da916d9c6dc7d84edc6834387cf8f8aea","last_reissued_at":"2026-05-17T23:57:32.311227Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:32.311227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.07564","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:57:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VsH+igY+115nGdbeNqiCLobgHxHmzpSukXDcilSRFzggXmJNwnRKHqkDfJOF93MmtQ7jf/5oFgtPwkepzP9wCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T07:59:35.635849Z"},"content_sha256":"02eb18bb694450737fd266e2eba023dbc0eca7a7e4c868f11da09367dc07b579","schema_version":"1.0","event_id":"sha256:02eb18bb694450737fd266e2eba023dbc0eca7a7e4c868f11da09367dc07b579"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:RLDZQ45IRIAJQGHBSSU5MGWMRW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On $\\mathcal{L}_{\\infty}$ string stability of nonlinear bidirectional asymmetric heterogeneous platoon systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Giovanni Russo, Julien Monteil, Robert Shorten","submitted_at":"2018-01-23T14:30:09Z","abstract_excerpt":"This paper is concerned with the study of bidirectionally coupled platoon systems. The case considered is when the vehicles are heterogeneous and the coupling can be nonlinear and asymmetric. For such systems, a sufficient condition for $\\mathcal{L}_{\\infty}$ string stability is presented. The effectiveness of our approach is illustrated via a numerical example, where it is shown how our result can be recast as an optimization problem, allowing to design the control protocol for each vehicle independently on the other vehicles and hence leading to a bottom-up approach for the design of string "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07564","kind":"arxiv","version":3},"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":"2026-05-17T23:57:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uAMpM9bbYxZXEXoApHay09Ly8u25jHWpK5teE9CNBJAMiT7aN6jtWFRj0Kdmxaid9jmvl6uicyWMCrUgP7vADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T07:59:35.636196Z"},"content_sha256":"fb1f0a00f0529f372c2c4e18d1d7de03554438e2c2bfc741dc2ae5bac1c96a2f","schema_version":"1.0","event_id":"sha256:fb1f0a00f0529f372c2c4e18d1d7de03554438e2c2bfc741dc2ae5bac1c96a2f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RLDZQ45IRIAJQGHBSSU5MGWMRW/bundle.json","state_url":"https://pith.science/pith/RLDZQ45IRIAJQGHBSSU5MGWMRW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RLDZQ45IRIAJQGHBSSU5MGWMRW/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":"2026-06-12T07:59:35Z","links":{"resolver":"https://pith.science/pith/RLDZQ45IRIAJQGHBSSU5MGWMRW","bundle":"https://pith.science/pith/RLDZQ45IRIAJQGHBSSU5MGWMRW/bundle.json","state":"https://pith.science/pith/RLDZQ45IRIAJQGHBSSU5MGWMRW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RLDZQ45IRIAJQGHBSSU5MGWMRW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RLDZQ45IRIAJQGHBSSU5MGWMRW","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":"68796afd8d3bfcf0bd63c69c6560420d87cc323f6426f21bb8ae3a740a5de303","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-01-23T14:30:09Z","title_canon_sha256":"aa5c8e70323dedfdd3a08c687460359b4a0fb57a192484b217f236baab5b2c1c"},"schema_version":"1.0","source":{"id":"1801.07564","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.07564","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"1801.07564v3","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07564","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"RLDZQ45IRIAJ","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RLDZQ45IRIAJQGHB","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RLDZQ45I","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:fb1f0a00f0529f372c2c4e18d1d7de03554438e2c2bfc741dc2ae5bac1c96a2f","target":"graph","created_at":"2026-05-17T23:57:32Z","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 paper is concerned with the study of bidirectionally coupled platoon systems. The case considered is when the vehicles are heterogeneous and the coupling can be nonlinear and asymmetric. For such systems, a sufficient condition for $\\mathcal{L}_{\\infty}$ string stability is presented. The effectiveness of our approach is illustrated via a numerical example, where it is shown how our result can be recast as an optimization problem, allowing to design the control protocol for each vehicle independently on the other vehicles and hence leading to a bottom-up approach for the design of string ","authors_text":"Giovanni Russo, Julien Monteil, Robert Shorten","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-01-23T14:30:09Z","title":"On $\\mathcal{L}_{\\infty}$ string stability of nonlinear bidirectional asymmetric heterogeneous platoon systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07564","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":"sha256:02eb18bb694450737fd266e2eba023dbc0eca7a7e4c868f11da09367dc07b579","target":"record","created_at":"2026-05-17T23:57:32Z","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":"68796afd8d3bfcf0bd63c69c6560420d87cc323f6426f21bb8ae3a740a5de303","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-01-23T14:30:09Z","title_canon_sha256":"aa5c8e70323dedfdd3a08c687460359b4a0fb57a192484b217f236baab5b2c1c"},"schema_version":"1.0","source":{"id":"1801.07564","kind":"arxiv","version":3}},"canonical_sha256":"8ac79873a88a009818e194a9d61acc8da916d9c6dc7d84edc6834387cf8f8aea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ac79873a88a009818e194a9d61acc8da916d9c6dc7d84edc6834387cf8f8aea","first_computed_at":"2026-05-17T23:57:32.311227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:32.311227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1E2T1SIP+uRLga7JMVmb/OBFJZZWPlyUJmBS4n63e52g9JaM85VTJTDane5bNQX6gbgCLf71ixQOyGHxDUqNAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:32.311857Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.07564","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02eb18bb694450737fd266e2eba023dbc0eca7a7e4c868f11da09367dc07b579","sha256:fb1f0a00f0529f372c2c4e18d1d7de03554438e2c2bfc741dc2ae5bac1c96a2f"],"state_sha256":"4e2acb13e04418cec829de88ce024b035cc9f4f4304c3ea68f686d228d0e9d5a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+SDyNvc66lcZZMwoR/0ZcjNPaVv3JRodJIKEHXhDq21Hr1V0R1xSnVH7QhccE4NLpsoOLgN7S7RwXNpeQ4y4Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T07:59:35.638128Z","bundle_sha256":"e371b611c4b35ea344c41b8c55e0edf71283565021f95007fbc53d6a50e3c6ab"}}