{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2KTGAM53BVMZGLXDRHQUICUPJN","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":"2507a4674296fe903183597a3a7c0952b098c2dee6deb6ac11b4c245796a3331","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-09-12T11:27:33Z","title_canon_sha256":"81367f329080016fd55a8de8ca183db1deb478e955b603020bee518fa6bfee66"},"schema_version":"1.0","source":{"id":"1409.3703","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3703","created_at":"2026-05-18T02:42:54Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3703v1","created_at":"2026-05-18T02:42:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3703","created_at":"2026-05-18T02:42:54Z"},{"alias_kind":"pith_short_12","alias_value":"2KTGAM53BVMZ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2KTGAM53BVMZGLXD","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2KTGAM53","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:4fe6b73e7dd77d38b5cf2e5ebbf433a9e78b2fa2ef42102e05a4902d41ca8808","target":"graph","created_at":"2026-05-18T02:42:54Z","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":"We derive some elliptic differential inequalities from the Weitzenb\\\"ock formulas for the traceless Ricci tensor of a K\\\"ahler manifold with constant scalar curvature and the Bochner tensor of a K\\\"ahler-Einstein manifold respectively. Using elliptic estimates and maximum principle, some $L^p$ and $L^\\infty $ pinching results are established to characterize K\\\"ahler-Einstein manifolds among K\\\"ahler manifolds with constant scalar curvature, and others are given to characterize complex space forms among K\\\"ahler-Einstein manifolds. Finally, these pinching results may be combined to characterize","authors_text":"Hezi Lin, Tian Chong, Yibin Ren, Yuxin Dong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-09-12T11:27:33Z","title":"Rigidity theorems of complete K\\\"ahler-Einstein manifolds and complex space forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3703","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:b2e3445a9bf2f49542561fa5edd053162e03dea4cc2a378382ff2644b15797b2","target":"record","created_at":"2026-05-18T02:42:54Z","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":"2507a4674296fe903183597a3a7c0952b098c2dee6deb6ac11b4c245796a3331","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-09-12T11:27:33Z","title_canon_sha256":"81367f329080016fd55a8de8ca183db1deb478e955b603020bee518fa6bfee66"},"schema_version":"1.0","source":{"id":"1409.3703","kind":"arxiv","version":1}},"canonical_sha256":"d2a66033bb0d59932ee389e1440a8f4b71f7889c8f3a93fad628e4eecb24444e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2a66033bb0d59932ee389e1440a8f4b71f7889c8f3a93fad628e4eecb24444e","first_computed_at":"2026-05-18T02:42:54.780328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:54.780328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ErdUoWzUZF7KWNM+u/1oaPZDvcFfvjOofrCuia06IsJAxJeHpueLpcL1JeBbRg+vcYVEKICbqRsVe59+N0THCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:54.780662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.3703","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2e3445a9bf2f49542561fa5edd053162e03dea4cc2a378382ff2644b15797b2","sha256:4fe6b73e7dd77d38b5cf2e5ebbf433a9e78b2fa2ef42102e05a4902d41ca8808"],"state_sha256":"41daf4c16f091dcf01cbba861033122dde80e63324bcbcdf2d13d63b83fcfda5"}