{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NKIJHGGXTYH3CORAPMLJXCFPUR","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":"33d9850c422087c0ea722e50743b3e2e0423ca325a57aabe5de6ec584202f976","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-05-28T22:04:13Z","title_canon_sha256":"8f67f11894c991f651e4e363fded6e846884db6afe1e7cc40add909e414c4da4"},"schema_version":"1.0","source":{"id":"1305.6644","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.6644","created_at":"2026-05-18T01:11:03Z"},{"alias_kind":"arxiv_version","alias_value":"1305.6644v2","created_at":"2026-05-18T01:11:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.6644","created_at":"2026-05-18T01:11:03Z"},{"alias_kind":"pith_short_12","alias_value":"NKIJHGGXTYH3","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NKIJHGGXTYH3CORA","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NKIJHGGX","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:44c06fcaa3328a491637abaaf8bc02073299fc08804e10222a83eff57a2a8bd8","target":"graph","created_at":"2026-05-18T01:11:03Z","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"},"paper":{"abstract_excerpt":"A new effective solution to the problem of Hermite $G^1$ interpolation with a clothoid curve is here proposed, that is a clothoid that interpolates two given points in a plane with assigned unit tangent vectors. The interpolation problem is a system of three nonlinear equations with multiple solutions which is difficult to solve also numerically. Here the solution of this system is reduced to the computation of the zeros of one single function in one variable. The location of the zero associated to the relevant solution is studied analytically: the interval containing the zero where the soluti","authors_text":"Enrico Bertolazzi, Marco Frego","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-05-28T22:04:13Z","title":"Fast and accurate $G^1$ fitting of clothoid curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6644","kind":"arxiv","version":2},"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":"sha256:84d1f152258131297cd67a4ce3d34f679cdda78e1e585466fe2e13a198074ea3","target":"record","created_at":"2026-05-18T01:11:03Z","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":"33d9850c422087c0ea722e50743b3e2e0423ca325a57aabe5de6ec584202f976","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-05-28T22:04:13Z","title_canon_sha256":"8f67f11894c991f651e4e363fded6e846884db6afe1e7cc40add909e414c4da4"},"schema_version":"1.0","source":{"id":"1305.6644","kind":"arxiv","version":2}},"canonical_sha256":"6a909398d79e0fb13a207b169b88afa44ae979ba286851cb66a4954e5f455925","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a909398d79e0fb13a207b169b88afa44ae979ba286851cb66a4954e5f455925","first_computed_at":"2026-05-18T01:11:03.636695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:03.636695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S1mptdmBpJoZNKBKnP2UHTbbtpZ28mTqiQHNVzMjyj89TsFy5PTFmnXnFyTpsWt7YlznLNP1hVRGOF5MTLxpDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:03.637284Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.6644","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84d1f152258131297cd67a4ce3d34f679cdda78e1e585466fe2e13a198074ea3","sha256:44c06fcaa3328a491637abaaf8bc02073299fc08804e10222a83eff57a2a8bd8"],"state_sha256":"a67ad8dac0ad9265e2bb83415aa25579eab4456fb8be3a6b3a40b5169e731623"}