{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SOB2FHVJ4B7OILLPCQU7FNLJJY","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":"a8b5a8cb0683dca498971afca59993f80f89cb215645c6638d01cbe6ecafb6a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-17T18:49:28Z","title_canon_sha256":"b3e20d3b123b544f7bf996e88e7680d7d8bf09f7fc8f0fc302a6d1b60f2588c1"},"schema_version":"1.0","source":{"id":"1605.05285","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05285","created_at":"2026-05-18T00:50:35Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05285v2","created_at":"2026-05-18T00:50:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05285","created_at":"2026-05-18T00:50:35Z"},{"alias_kind":"pith_short_12","alias_value":"SOB2FHVJ4B7O","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SOB2FHVJ4B7OILLP","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SOB2FHVJ","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:e38a1033c8fcf3a956107417e944c198f06b82c0919847ee7f289f6bdf11b046","target":"graph","created_at":"2026-05-18T00:50:35Z","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":"Building on and extending tools from variational analysis, we prove Kuratowski convergence of sets of simplicial area minimizers to minimizers of the smooth Douglas-Plateau problem under simplicial refinement. This convergence is with respect to a topology that is stronger than uniform convergence of both positions and surface normals.","authors_text":"Henrik Schumacher, Max Wardetzky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-17T18:49:28Z","title":"Variational Convergence of Discrete Minimal Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05285","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:df66671bb16951254864ce0ba970d4463deac27d0698f1d1d91d088ab2e9fd43","target":"record","created_at":"2026-05-18T00:50:35Z","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":"a8b5a8cb0683dca498971afca59993f80f89cb215645c6638d01cbe6ecafb6a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-17T18:49:28Z","title_canon_sha256":"b3e20d3b123b544f7bf996e88e7680d7d8bf09f7fc8f0fc302a6d1b60f2588c1"},"schema_version":"1.0","source":{"id":"1605.05285","kind":"arxiv","version":2}},"canonical_sha256":"9383a29ea9e07ee42d6f1429f2b5694e120f7d02d28e65c50420334341552a97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9383a29ea9e07ee42d6f1429f2b5694e120f7d02d28e65c50420334341552a97","first_computed_at":"2026-05-18T00:50:35.658493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:35.658493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9HH8KTDgM39X6qlnZP8J/631aROMmLbnY0CQKS2J6YEFtrAq29jN9YGvAciOxFVm/lBrEEhsLefnCWYJd0HlAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:35.659280Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.05285","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df66671bb16951254864ce0ba970d4463deac27d0698f1d1d91d088ab2e9fd43","sha256:e38a1033c8fcf3a956107417e944c198f06b82c0919847ee7f289f6bdf11b046"],"state_sha256":"78ef811bea08f5c5180ca08a5afd6cfe3aec7bb18274d249cba918f7efb816ba"}