{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OHSZ26EUBNAKL6KPTRC3ISDFG6","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":"aa2bc956626dac4d2f55bb91ef5b6803a183bd598d8371b715da305ba7c6a7e0","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2015-01-16T14:55:49Z","title_canon_sha256":"43de28970fe20284c2933140fe15b94c30eb9f38d1dea181a659c94dd8cf9abf"},"schema_version":"1.0","source":{"id":"1501.04002","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.04002","created_at":"2026-05-18T01:11:55Z"},{"alias_kind":"arxiv_version","alias_value":"1501.04002v3","created_at":"2026-05-18T01:11:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04002","created_at":"2026-05-18T01:11:55Z"},{"alias_kind":"pith_short_12","alias_value":"OHSZ26EUBNAK","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OHSZ26EUBNAKL6KP","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OHSZ26EU","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:46915288fd223ed249e6c5289fe49d69dfd672a110c70ecebeec2f7fb7e86eb1","target":"graph","created_at":"2026-05-18T01:11:55Z","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":"An extension of the restricted Delaunay-refinement algorithm for surface mesh generation is described, where a new point-placement scheme is introduced to improve element quality in the presence of mesh size constraints. Specifically, it is shown that the use of off-centre Steiner points, positioned on the faces of the associated Voronoi diagram, typically leads to significant improvements in the shape- and size-quality of the resulting surface tessellations. The new algorithm can be viewed as a Frontal-Delaunay approach -- a hybridisation of conventional Delaunay-refinement and advancing-fron","authors_text":"Darren Engwirda, David Ivers","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2015-01-16T14:55:49Z","title":"Size-optimal Steiner points for Delaunay-refinement on curved surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04002","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":"sha256:10b4d877ad4e182ccd314c111e0b5a1e186a7174557d225eef0d597e032d4a16","target":"record","created_at":"2026-05-18T01:11:55Z","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":"aa2bc956626dac4d2f55bb91ef5b6803a183bd598d8371b715da305ba7c6a7e0","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2015-01-16T14:55:49Z","title_canon_sha256":"43de28970fe20284c2933140fe15b94c30eb9f38d1dea181a659c94dd8cf9abf"},"schema_version":"1.0","source":{"id":"1501.04002","kind":"arxiv","version":3}},"canonical_sha256":"71e59d78940b40a5f94f9c45b4486537a061eaecc16ea955e7f5a64559a52e74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71e59d78940b40a5f94f9c45b4486537a061eaecc16ea955e7f5a64559a52e74","first_computed_at":"2026-05-18T01:11:55.247161Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:55.247161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XEsrdcqUakUgf8tdGJtrMzFk+u2O9LVhgnV6cuqByNy7wtIGYQyDgQ39OF139Z861/ilP+r5AmkbMNzDpY1XDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:55.247507Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.04002","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10b4d877ad4e182ccd314c111e0b5a1e186a7174557d225eef0d597e032d4a16","sha256:46915288fd223ed249e6c5289fe49d69dfd672a110c70ecebeec2f7fb7e86eb1"],"state_sha256":"d588b2059a4cdf08056f1df67954bdd91f3337cd0683c4fd4ad22480ded76a04"}