{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JJB3FW5BYWXF3SNJWH7K7BQXTH","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":"930baf0244353c7b33b49d4c7bc3937238106fda6fbd165638513d354263d919","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-12-18T19:56:09Z","title_canon_sha256":"f7c571a2b32f6d1999f48ecc1c852d80f59bd06519c99f428eb276509d541630"},"schema_version":"1.0","source":{"id":"1112.4181","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4181","created_at":"2026-05-17T23:48:48Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4181v3","created_at":"2026-05-17T23:48:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4181","created_at":"2026-05-17T23:48:48Z"},{"alias_kind":"pith_short_12","alias_value":"JJB3FW5BYWXF","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JJB3FW5BYWXF3SNJ","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JJB3FW5B","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:4901f3eb381b7824bcbad34d8ab45ca6edb124ca97cecc0f3a9e24faaccc17e0","target":"graph","created_at":"2026-05-17T23:48:48Z","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":"In this paper we will prove that the only compact 4-manifold M with an Einstein metric of positive sectional curvature which is also hermitian with respect to some complex structure on M, is the complex projective plane CP^2, with its Fubini-Study metric.","authors_text":"Caner Koca","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-12-18T19:56:09Z","title":"Einstein Hermitian Metrics of Positive Sectional Curvature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4181","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:e12cfbc42c1f27042814def7d9d45a4f902308f9063f8e3e60b5eec100e44caa","target":"record","created_at":"2026-05-17T23:48:48Z","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":"930baf0244353c7b33b49d4c7bc3937238106fda6fbd165638513d354263d919","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-12-18T19:56:09Z","title_canon_sha256":"f7c571a2b32f6d1999f48ecc1c852d80f59bd06519c99f428eb276509d541630"},"schema_version":"1.0","source":{"id":"1112.4181","kind":"arxiv","version":3}},"canonical_sha256":"4a43b2dba1c5ae5dc9a9b1feaf861799e6a6fb116a3f8afed0b9ffaa3fb9aa86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a43b2dba1c5ae5dc9a9b1feaf861799e6a6fb116a3f8afed0b9ffaa3fb9aa86","first_computed_at":"2026-05-17T23:48:48.130100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:48.130100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nmx2GAQxL1u+Qk1SRXdF9IadasTeU+FE8YHJBcbVUFP9NcaaZyQO9x4IRwQ4dvrFV+YZBLPNOlIoftxfawVDCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:48.130627Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.4181","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e12cfbc42c1f27042814def7d9d45a4f902308f9063f8e3e60b5eec100e44caa","sha256:4901f3eb381b7824bcbad34d8ab45ca6edb124ca97cecc0f3a9e24faaccc17e0"],"state_sha256":"5acc745637d483b4806fd55a8c9075e7104a676c174ace9d24ab3292a5f42695"}