{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7DYFTECRWX5TN5X3WSORFJ3QSJ","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":"73dd334073b3e56f96659f4b2bb99f44470e91bb92a23b0556e707b2fa5f0a7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-03-01T13:45:25Z","title_canon_sha256":"55cf90db3a6d2fe30128e0c25c8489a356986297d0115ce09929eb5270d0e491"},"schema_version":"1.0","source":{"id":"1103.0167","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.0167","created_at":"2026-05-18T02:03:01Z"},{"alias_kind":"arxiv_version","alias_value":"1103.0167v2","created_at":"2026-05-18T02:03:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0167","created_at":"2026-05-18T02:03:01Z"},{"alias_kind":"pith_short_12","alias_value":"7DYFTECRWX5T","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7DYFTECRWX5TN5X3","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7DYFTECR","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:49aef8c440213e2637d0437c19848af0b635ebccea7bc222ac6f4875b2916ef3","target":"graph","created_at":"2026-05-18T02:03:01Z","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":"Motivated by a simple model for elastic cell membranes, we minimize the Willmore functional among two-dimensional spheres embedded in R^3 with prescribed isoperimetric ratio.","authors_text":"Johannes Schygulla","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-03-01T13:45:25Z","title":"Willmore minimizers with prescribed isoperimetric ratio"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0167","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":"sha256:21a329dc6696cd2cd021e6208dca3940f2f0a6b14343fb51781ed8ebb51ece69","target":"record","created_at":"2026-05-18T02:03:01Z","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":"73dd334073b3e56f96659f4b2bb99f44470e91bb92a23b0556e707b2fa5f0a7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-03-01T13:45:25Z","title_canon_sha256":"55cf90db3a6d2fe30128e0c25c8489a356986297d0115ce09929eb5270d0e491"},"schema_version":"1.0","source":{"id":"1103.0167","kind":"arxiv","version":2}},"canonical_sha256":"f8f0599051b5fb36f6fbb49d12a7709240b50dd09f085112489cbb4fd8be9dca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8f0599051b5fb36f6fbb49d12a7709240b50dd09f085112489cbb4fd8be9dca","first_computed_at":"2026-05-18T02:03:01.718220Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:01.718220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0lStYalIMP/z2ykKcClWN1gp3NBeC9tHkQxUOHq+VayXeE4knU+zM6RGIILY1504EaHEaf7HlmZMZNVKhx6JBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:01.718956Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.0167","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21a329dc6696cd2cd021e6208dca3940f2f0a6b14343fb51781ed8ebb51ece69","sha256:49aef8c440213e2637d0437c19848af0b635ebccea7bc222ac6f4875b2916ef3"],"state_sha256":"903e2f07a373b789b2deefcf21f657d3050cf33ed2f00b21e22cb528ccad56c9"}