{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:WT2MOPS43KVJOWOMKDCMPS6LYN","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":"9ef8d6566fccc5290563a0fd30facc71dae44c268176519a3b11015695d5303e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2010-05-17T07:25:49Z","title_canon_sha256":"0fbcfdab41b0b97f7c4ec509a476fb0e6677a9905a22877606ffe2ba36d70cc9"},"schema_version":"1.0","source":{"id":"1005.2822","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.2822","created_at":"2026-05-18T02:23:59Z"},{"alias_kind":"arxiv_version","alias_value":"1005.2822v2","created_at":"2026-05-18T02:23:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2822","created_at":"2026-05-18T02:23:59Z"},{"alias_kind":"pith_short_12","alias_value":"WT2MOPS43KVJ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WT2MOPS43KVJOWOM","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WT2MOPS4","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:2707780fb66b294fd6e7dd525915b4d86528ab6f4ffa52aa4dd49c8ecd2ec76b","target":"graph","created_at":"2026-05-18T02:23:59Z","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 technique is described for constructing three-dimensional vector graphics representations of planar regions bounded by cubic B\\'ezier curves, such as smooth glyphs. It relies on a novel algorithm for compactly partitioning planar B\\'ezier regions into nondegenerate Coons patches. New optimizations are also described for B\\'ezier inside-outside tests and the computation of global bounds of directionally monotonic functions over a B\\'ezier surface (such as its bounding box or optimal field-of-view angle). These algorithms underlie the three-dimensional illustration and typography features of t","authors_text":"John C. Bowman, Orest Shardt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2010-05-17T07:25:49Z","title":"Surface Parametrization of Nonsimply Connected Planar B\\'ezier Regions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2822","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":"sha256:506dbe52e3910a8f3ca8b8931b6bd3b50fc1614190a59fcf7f4cef7024dcfbc3","target":"record","created_at":"2026-05-18T02:23:59Z","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":"9ef8d6566fccc5290563a0fd30facc71dae44c268176519a3b11015695d5303e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2010-05-17T07:25:49Z","title_canon_sha256":"0fbcfdab41b0b97f7c4ec509a476fb0e6677a9905a22877606ffe2ba36d70cc9"},"schema_version":"1.0","source":{"id":"1005.2822","kind":"arxiv","version":2}},"canonical_sha256":"b4f4c73e5cdaaa9759cc50c4c7cbcbc37f3344b6375ade70420031f046a1a9ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4f4c73e5cdaaa9759cc50c4c7cbcbc37f3344b6375ade70420031f046a1a9ee","first_computed_at":"2026-05-18T02:23:59.415217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:59.415217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HZH7PGyKzDnwUJRTnwpbVXu1AJbss2b+ZgO0BOUbRKTYwWQZnUByIjPg1NEni3FeJ2xvm6ecA1JO9TeWz/4uAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:59.415983Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.2822","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:506dbe52e3910a8f3ca8b8931b6bd3b50fc1614190a59fcf7f4cef7024dcfbc3","sha256:2707780fb66b294fd6e7dd525915b4d86528ab6f4ffa52aa4dd49c8ecd2ec76b"],"state_sha256":"495806efbdc30edbfdbd17eb5f95c954ffae216c6d5c91565adfe2710058ac31"}