{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CIFGCMZUJPG236OOUN6CDX2W4U","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":"b3a23abc45de5a10455f296a2e15b571bcaf7b10f2dacda55d39ee1ed60f19b3","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.DG","submitted_at":"2024-07-18T06:41:53Z","title_canon_sha256":"8ec3f5ad22262ca91c02083e676131b883e93d4144f51e45c3375277e4a266e0"},"schema_version":"1.0","source":{"id":"2407.13203","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.13203","created_at":"2026-07-05T08:45:35Z"},{"alias_kind":"arxiv_version","alias_value":"2407.13203v1","created_at":"2026-07-05T08:45:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.13203","created_at":"2026-07-05T08:45:35Z"},{"alias_kind":"pith_short_12","alias_value":"CIFGCMZUJPG2","created_at":"2026-07-05T08:45:35Z"},{"alias_kind":"pith_short_16","alias_value":"CIFGCMZUJPG236OO","created_at":"2026-07-05T08:45:35Z"},{"alias_kind":"pith_short_8","alias_value":"CIFGCMZU","created_at":"2026-07-05T08:45:35Z"}],"graph_snapshots":[{"event_id":"sha256:27f74fcf695310fd21dbdd710a6ba19cdad271ce8e8248d89ef8a93ed45aa1c4","target":"graph","created_at":"2026-07-05T08:45:35Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.13203/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that a closed minimal hypersurface in $\\mathbb{S}^5$ with constant scalar curvature and zero Gauss curvature is totally geodesic.","authors_text":"Qing Cui","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.DG","submitted_at":"2024-07-18T06:41:53Z","title":"Minimal hypersurfaces in $\\mathbb{S}^5$ with constant scalar curvature and zero Gauss curvature are totally geodesic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.13203","kind":"arxiv","version":1},"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:e19ab264ed2809b5b9bc7f4ca58a3583ca503e960b8b8304b348eb7091be65ae","target":"record","created_at":"2026-07-05T08:45:35Z","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":"b3a23abc45de5a10455f296a2e15b571bcaf7b10f2dacda55d39ee1ed60f19b3","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.DG","submitted_at":"2024-07-18T06:41:53Z","title_canon_sha256":"8ec3f5ad22262ca91c02083e676131b883e93d4144f51e45c3375277e4a266e0"},"schema_version":"1.0","source":{"id":"2407.13203","kind":"arxiv","version":1}},"canonical_sha256":"120a6133344bcdadf9cea37c21df56e52a90f73bea94f8e9517e7934cac76830","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"120a6133344bcdadf9cea37c21df56e52a90f73bea94f8e9517e7934cac76830","first_computed_at":"2026-07-05T08:45:35.685652Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:45:35.685652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1G7tHSczYWAUn7oD58a/mjWQ+8roXdB6T5aTzNfsP2HGrW5xskIXYXDm3Yt5ASHy6mZnCnwyRvAwxPlPm2CaBw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:45:35.686114Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.13203","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e19ab264ed2809b5b9bc7f4ca58a3583ca503e960b8b8304b348eb7091be65ae","sha256:27f74fcf695310fd21dbdd710a6ba19cdad271ce8e8248d89ef8a93ed45aa1c4"],"state_sha256":"9d246eb53953b7d84aa0e58c029d8ce054badf0453c02d3433247cec2be81aa9"}