{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:HIFUQRZFOBNKDCY3LMXAAEU2GU","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":"0c3582ae76908ce8ac4d73eaf85d10da571e2e789ded36df565329ad6b04efd4","cross_cats_sorted":["cs.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2003-11-13T20:25:14Z","title_canon_sha256":"ce0e049ce793a6abf76541b4c9693fb0d0b8f297f7e0c53bce179fc4241ca96b"},"schema_version":"1.0","source":{"id":"math/0311228","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0311228","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"arxiv_version","alias_value":"math/0311228v2","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0311228","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"pith_short_12","alias_value":"HIFUQRZFOBNK","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"HIFUQRZFOBNKDCY3","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"HIFUQRZF","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:bc5bb70f71a5cfe4477309d697ec1e9c5c9a269c5d6fc6e2058ccc078dd732d5","target":"graph","created_at":"2026-05-18T04:42:44Z","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":"We consider whether any two triangulations of a polygon or a point set on a non-planar surface with a given metric can be transformed into each other by a sequence of edge flips. The answer is negative in general with some remarkable exceptions, such as polygons on the cylinder, and on the flat torus, and certain configurations of points on the cylinder.","authors_text":"A. Marquez, C. Cortes, C. I. Grima, F. Hurtado, F. Santos, J. Valenzuela","cross_cats":["cs.CG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2003-11-13T20:25:14Z","title":"Transforming triangulations on non planar-surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0311228","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:f67a2125ef0a9e1809aadcf1ddd9e446cc830d945218de869bf6b0b31e740f28","target":"record","created_at":"2026-05-18T04:42:44Z","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":"0c3582ae76908ce8ac4d73eaf85d10da571e2e789ded36df565329ad6b04efd4","cross_cats_sorted":["cs.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2003-11-13T20:25:14Z","title_canon_sha256":"ce0e049ce793a6abf76541b4c9693fb0d0b8f297f7e0c53bce179fc4241ca96b"},"schema_version":"1.0","source":{"id":"math/0311228","kind":"arxiv","version":2}},"canonical_sha256":"3a0b484725705aa18b1b5b2e00129a35200fb31cc4b967f9b0d082bb0e014e7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a0b484725705aa18b1b5b2e00129a35200fb31cc4b967f9b0d082bb0e014e7b","first_computed_at":"2026-05-18T04:42:44.952392Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:44.952392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s/00mHcEVX3fmwOSWXasUvzRkdV8J2qGlRYY5HNosV5KjRCArhydlFdRexIw6TkLULk3s8T53YbISecX/Sd6Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:44.953015Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0311228","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f67a2125ef0a9e1809aadcf1ddd9e446cc830d945218de869bf6b0b31e740f28","sha256:bc5bb70f71a5cfe4477309d697ec1e9c5c9a269c5d6fc6e2058ccc078dd732d5"],"state_sha256":"134729c33995e1cf82fd91613f135ddb67f95695feb83d83eb093c0fa74ab81c"}