{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RDH74MFU7GST7M4QFKFNSVMIDX","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":"36ee236124382b4ec59403ee3f554c334162a07d9b10769b99d1db0799f78db2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2023-01-05T03:41:16Z","title_canon_sha256":"bbed0af67e77946047f7240d53cf34ce0d69fe4f666b29955d43e62d9b3ab671"},"schema_version":"1.0","source":{"id":"2301.01892","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.01892","created_at":"2026-07-05T05:48:46Z"},{"alias_kind":"arxiv_version","alias_value":"2301.01892v2","created_at":"2026-07-05T05:48:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.01892","created_at":"2026-07-05T05:48:46Z"},{"alias_kind":"pith_short_12","alias_value":"RDH74MFU7GST","created_at":"2026-07-05T05:48:46Z"},{"alias_kind":"pith_short_16","alias_value":"RDH74MFU7GST7M4Q","created_at":"2026-07-05T05:48:46Z"},{"alias_kind":"pith_short_8","alias_value":"RDH74MFU","created_at":"2026-07-05T05:48:46Z"}],"graph_snapshots":[{"event_id":"sha256:c5446e2835a7f4f6bc08e7b5e4ddfcceb622d2f88e15e52f763c03431bce2d46","target":"graph","created_at":"2026-07-05T05:48:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2301.01892/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that the area of each nonflat genus zero free boundary minimal surface embedded in the unit $3$-ball is less than the area of its radial projection to $\\mathbb{S}^2$. The inequality is asymptotically sharp, and we prove any sequence of surfaces saturating it converges weakly to $\\mathbb{S}^2$, as currents and as varifolds.","authors_text":"Jiahua Zou, Peter McGrath","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2023-01-05T03:41:16Z","title":"On the Areas of Genus Zero Free Boundary Minimal Surfaces Embedded in the Unit $3$-ball"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.01892","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:d2d8fabf9adcaa67471bdd325edc240f2b164fb488a8f79fd3e1eefc37f02bcf","target":"record","created_at":"2026-07-05T05:48:46Z","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":"36ee236124382b4ec59403ee3f554c334162a07d9b10769b99d1db0799f78db2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2023-01-05T03:41:16Z","title_canon_sha256":"bbed0af67e77946047f7240d53cf34ce0d69fe4f666b29955d43e62d9b3ab671"},"schema_version":"1.0","source":{"id":"2301.01892","kind":"arxiv","version":2}},"canonical_sha256":"88cffe30b4f9a53fb3902a8ad955881deb251bea2b648fe7ce366affd82a2c4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88cffe30b4f9a53fb3902a8ad955881deb251bea2b648fe7ce366affd82a2c4d","first_computed_at":"2026-07-05T05:48:46.933466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:48:46.933466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SU2nupGM7mpxizJh9TglhIe1TkjxHASXQAL71uoX+793xZMjZbF9BDdn1YVoxshvk7Drrci79V5ZrWLXXXFICg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:48:46.933968Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.01892","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2d8fabf9adcaa67471bdd325edc240f2b164fb488a8f79fd3e1eefc37f02bcf","sha256:c5446e2835a7f4f6bc08e7b5e4ddfcceb622d2f88e15e52f763c03431bce2d46"],"state_sha256":"7629195b222292207fe4ee306a867a791d6090893223002ac577939f3f626bc5"}