{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QLZXALPOZQNEQPDVTV5XSO2LW5","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":"de72875999d2cb1762689587bbbe8e994ae6b93edbe08173f3b8288479e61276","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-06-09T17:17:47Z","title_canon_sha256":"3770e32131189b2481b7e6c62fb73f01672bd9273fe0aad498a8e3c87696a469"},"schema_version":"1.0","source":{"id":"1706.03049","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.03049","created_at":"2026-05-18T00:42:40Z"},{"alias_kind":"arxiv_version","alias_value":"1706.03049v1","created_at":"2026-05-18T00:42:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03049","created_at":"2026-05-18T00:42:40Z"},{"alias_kind":"pith_short_12","alias_value":"QLZXALPOZQNE","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QLZXALPOZQNEQPDV","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QLZXALPO","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:ce427d64902834477da0e403cd86baa7ca4aa147377ceebf61caf21295dc42f0","target":"graph","created_at":"2026-05-18T00:42:40Z","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":"Given the n vertices of a convex polygon in cyclic order, can the triangle of maximum area inscribed in P be determined by an algorithm with O(n) time complexity? A purported linear-time algorithm by Dobkin and Snyder from 1979 has recently been shown to be incorrect by Keikha, L\\\"offler, Urhausen, and van der Hoog. These authors give an alternative algorithm with O(n log n) time complexity. Here we give an algorithm with linear time complexity.","authors_text":"Yoav Kallus","cross_cats":["math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-06-09T17:17:47Z","title":"A linear-time algorithm for the maximum-area inscribed triangle in a convex polygon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03049","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":"sha256:24bd5b011ba4bf7ffd8de22b83cc4978706b7e23e8e403b3f90c8d42987eef25","target":"record","created_at":"2026-05-18T00:42:40Z","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":"de72875999d2cb1762689587bbbe8e994ae6b93edbe08173f3b8288479e61276","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2017-06-09T17:17:47Z","title_canon_sha256":"3770e32131189b2481b7e6c62fb73f01672bd9273fe0aad498a8e3c87696a469"},"schema_version":"1.0","source":{"id":"1706.03049","kind":"arxiv","version":1}},"canonical_sha256":"82f3702deecc1a483c759d7b793b4bb742fe96090b499d583f90b7fbc70f7de7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82f3702deecc1a483c759d7b793b4bb742fe96090b499d583f90b7fbc70f7de7","first_computed_at":"2026-05-18T00:42:40.145444Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:40.145444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WttljFW/tbSzJ0Z2VqG5EUXiRMRQpx9TMsFGZWnQkr9vjerT9fD5PkIJbPSCLtlzb/Y1+WR/zwBT+VjsE2jDDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:40.146177Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.03049","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24bd5b011ba4bf7ffd8de22b83cc4978706b7e23e8e403b3f90c8d42987eef25","sha256:ce427d64902834477da0e403cd86baa7ca4aa147377ceebf61caf21295dc42f0"],"state_sha256":"f6ed4e201bcfd281b04148c99b5ced1cf2de26d381bbfd179e827b2a0e29b519"}