{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:KZF7M6K5FPOAS62UNC4CO57VCX","short_pith_number":"pith:KZF7M6K5","schema_version":"1.0","canonical_sha256":"564bf6795d2bdc097b5468b82777f515fbccdb216749e49eb4fe5aed88978ecf","source":{"kind":"arxiv","id":"1106.6214","version":3},"attestation_state":"computed","paper":{"title":"The Cost of Bounded Curvature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Hyo-Sil Kim, Otfried Cheong","submitted_at":"2011-06-30T12:58:49Z","abstract_excerpt":"We study the motion-planning problem for a car-like robot whose turning radius is bounded from below by one and which is allowed to move in the forward direction only (Dubins car). For two robot configurations $\\sigma, \\sigma'$, let $\\ell(\\sigma, \\sigma')$ be the shortest bounded-curvature path from $\\sigma$ to $\\sigma'$. For $d \\geq 0$, let $\\ell(d)$ be the supremum of $\\ell(\\sigma, \\sigma')$, over all pairs $(\\sigma, \\sigma')$ that are at Euclidean distance $d$. We study the function $\\dub(d) = \\ell(d) - d$, which expresses the difference between the bounded-curvature path length and the Euc"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1106.6214","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2011-06-30T12:58:49Z","cross_cats_sorted":[],"title_canon_sha256":"31c7e229c46a16a9d8a9e6590ca6ec952f44e8e3596260ed518d905712f50089","abstract_canon_sha256":"587da6530917d2c88708b89e3723d6700c99505295190d82bc7a82c1cd5eef94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:42.283955Z","signature_b64":"5xqHbEsLLSOCsz0MgDfGPEOLNsZNMGuGJRg3jqqf0dr5GNMgoH2QWAG2CLWqmtR5MSgmokJZsgdnOx7KOgKCBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"564bf6795d2bdc097b5468b82777f515fbccdb216749e49eb4fe5aed88978ecf","last_reissued_at":"2026-05-18T03:41:42.283054Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:42.283054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Cost of Bounded Curvature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Hyo-Sil Kim, Otfried Cheong","submitted_at":"2011-06-30T12:58:49Z","abstract_excerpt":"We study the motion-planning problem for a car-like robot whose turning radius is bounded from below by one and which is allowed to move in the forward direction only (Dubins car). For two robot configurations $\\sigma, \\sigma'$, let $\\ell(\\sigma, \\sigma')$ be the shortest bounded-curvature path from $\\sigma$ to $\\sigma'$. For $d \\geq 0$, let $\\ell(d)$ be the supremum of $\\ell(\\sigma, \\sigma')$, over all pairs $(\\sigma, \\sigma')$ that are at Euclidean distance $d$. We study the function $\\dub(d) = \\ell(d) - d$, which expresses the difference between the bounded-curvature path length and the Euc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.6214","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1106.6214","created_at":"2026-05-18T03:41:42.283202+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.6214v3","created_at":"2026-05-18T03:41:42.283202+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.6214","created_at":"2026-05-18T03:41:42.283202+00:00"},{"alias_kind":"pith_short_12","alias_value":"KZF7M6K5FPOA","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"KZF7M6K5FPOAS62U","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"KZF7M6K5","created_at":"2026-05-18T12:26:34.985390+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KZF7M6K5FPOAS62UNC4CO57VCX","json":"https://pith.science/pith/KZF7M6K5FPOAS62UNC4CO57VCX.json","graph_json":"https://pith.science/api/pith-number/KZF7M6K5FPOAS62UNC4CO57VCX/graph.json","events_json":"https://pith.science/api/pith-number/KZF7M6K5FPOAS62UNC4CO57VCX/events.json","paper":"https://pith.science/paper/KZF7M6K5"},"agent_actions":{"view_html":"https://pith.science/pith/KZF7M6K5FPOAS62UNC4CO57VCX","download_json":"https://pith.science/pith/KZF7M6K5FPOAS62UNC4CO57VCX.json","view_paper":"https://pith.science/paper/KZF7M6K5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.6214&json=true","fetch_graph":"https://pith.science/api/pith-number/KZF7M6K5FPOAS62UNC4CO57VCX/graph.json","fetch_events":"https://pith.science/api/pith-number/KZF7M6K5FPOAS62UNC4CO57VCX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KZF7M6K5FPOAS62UNC4CO57VCX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KZF7M6K5FPOAS62UNC4CO57VCX/action/storage_attestation","attest_author":"https://pith.science/pith/KZF7M6K5FPOAS62UNC4CO57VCX/action/author_attestation","sign_citation":"https://pith.science/pith/KZF7M6K5FPOAS62UNC4CO57VCX/action/citation_signature","submit_replication":"https://pith.science/pith/KZF7M6K5FPOAS62UNC4CO57VCX/action/replication_record"}},"created_at":"2026-05-18T03:41:42.283202+00:00","updated_at":"2026-05-18T03:41:42.283202+00:00"}