{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:IXMRPWIWKRDCZFWIKOV6OIKNSJ","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":"b983cefe3a1dae70f9b53835a3f53d8dbca0f5d05eb6bc1f9566733e76788dec","cross_cats_sorted":["math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2021-08-25T20:32:27Z","title_canon_sha256":"318ec6cfe87d6b11c21993673f44d7e3588e4035096285d394155e0a1e4a39b9"},"schema_version":"1.0","source":{"id":"2108.11462","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.11462","created_at":"2026-07-05T06:05:25Z"},{"alias_kind":"arxiv_version","alias_value":"2108.11462v3","created_at":"2026-07-05T06:05:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.11462","created_at":"2026-07-05T06:05:25Z"},{"alias_kind":"pith_short_12","alias_value":"IXMRPWIWKRDC","created_at":"2026-07-05T06:05:25Z"},{"alias_kind":"pith_short_16","alias_value":"IXMRPWIWKRDCZFWI","created_at":"2026-07-05T06:05:25Z"},{"alias_kind":"pith_short_8","alias_value":"IXMRPWIW","created_at":"2026-07-05T06:05:25Z"}],"graph_snapshots":[{"event_id":"sha256:e494590ddfe6e552a7e34ea61cd7aa10f793849ac6935e5fd6adc962e7d7223a","target":"graph","created_at":"2026-07-05T06:05:25Z","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/2108.11462/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that a complete, two-sided, stable minimal immersed hypersurface in $\\mathbf{R}^{4}$ is flat.","authors_text":"Chao Li, Otis Chodosh","cross_cats":["math.AP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2021-08-25T20:32:27Z","title":"Stable minimal hypersurfaces in $\\mathbf{R}^4$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.11462","kind":"arxiv","version":3},"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:aaf44d367f239f445aae08e61f9118e31542620089e96969ed1d1422e6169637","target":"record","created_at":"2026-07-05T06:05:25Z","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":"b983cefe3a1dae70f9b53835a3f53d8dbca0f5d05eb6bc1f9566733e76788dec","cross_cats_sorted":["math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2021-08-25T20:32:27Z","title_canon_sha256":"318ec6cfe87d6b11c21993673f44d7e3588e4035096285d394155e0a1e4a39b9"},"schema_version":"1.0","source":{"id":"2108.11462","kind":"arxiv","version":3}},"canonical_sha256":"45d917d91654462c96c853abe7214d927399179202377a6d4756324388adf435","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45d917d91654462c96c853abe7214d927399179202377a6d4756324388adf435","first_computed_at":"2026-07-05T06:05:25.047034Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:05:25.047034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pP/l5mR91gTkCe+EZi9fyUSzP5VHSW3eXfkwX6hlhKwUvC4K1ClplQoCnlPOw7BziHgEMOWswLS2mxnZQRxPDg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:05:25.047392Z","signed_message":"canonical_sha256_bytes"},"source_id":"2108.11462","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aaf44d367f239f445aae08e61f9118e31542620089e96969ed1d1422e6169637","sha256:e494590ddfe6e552a7e34ea61cd7aa10f793849ac6935e5fd6adc962e7d7223a"],"state_sha256":"39bb99b915bb3e13f4267b7205a7128ef70b817da346ac187a40bb18c4c33cb3"}