{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PUIUMSA35PWLX3WJYU5J6INLJA","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":"e670a5bd696320a21eb4bcf2788ff73c1bd71c43502676caac535654102f1dd7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-04T12:23:52Z","title_canon_sha256":"53bdde1e2f089d12ea14eb0827d90a01c9713caca9d15ff3102281287576a81d"},"schema_version":"1.0","source":{"id":"1311.0671","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0671","created_at":"2026-05-18T03:08:05Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0671v1","created_at":"2026-05-18T03:08:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0671","created_at":"2026-05-18T03:08:05Z"},{"alias_kind":"pith_short_12","alias_value":"PUIUMSA35PWL","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"PUIUMSA35PWLX3WJ","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"PUIUMSA3","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:0da180de44b3d4a07eba81d80f0babfca03e56ad20759dd4d9af9ee6de36d52b","target":"graph","created_at":"2026-05-18T03:08:05Z","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":"It is known that automorphism group $G$ of a compact homogeneous locally conformally K\\\"ahler manifold $M=G/H$ has at least a 1-dimensional center. We prove that the center of $G$ is at most 2-dimensional, and that if its dimension is 2, then $M$ is Vaisman and isometric to a mapping torus of an isometry of a homogeneous Sasakian manifold.","authors_text":"Andrei Moroianu, Liviu Ornea","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-04T12:23:52Z","title":"Homogeneous locally conformally K\\\"ahler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0671","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":"sha256:80084d51274806f27f4c2a9f612b2daa64c8019e6ae6fada2ba31b6743206e6c","target":"record","created_at":"2026-05-18T03:08:05Z","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":"e670a5bd696320a21eb4bcf2788ff73c1bd71c43502676caac535654102f1dd7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-04T12:23:52Z","title_canon_sha256":"53bdde1e2f089d12ea14eb0827d90a01c9713caca9d15ff3102281287576a81d"},"schema_version":"1.0","source":{"id":"1311.0671","kind":"arxiv","version":1}},"canonical_sha256":"7d1146481bebecbbeec9c53a9f21ab4829d51f5d69d55d6b15b1c26e908d10f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d1146481bebecbbeec9c53a9f21ab4829d51f5d69d55d6b15b1c26e908d10f7","first_computed_at":"2026-05-18T03:08:05.184096Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:05.184096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YYNjsT4EvbRqj6kvT3I/6v8TLLOS+8KR3sney5ZUwzyjCFsSb5jYX6UyujJSbeLtnrR7jmkP+PNbAZHpmQBxCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:05.184916Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.0671","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80084d51274806f27f4c2a9f612b2daa64c8019e6ae6fada2ba31b6743206e6c","sha256:0da180de44b3d4a07eba81d80f0babfca03e56ad20759dd4d9af9ee6de36d52b"],"state_sha256":"8361238ca1316a2ee9b4b80c2ab46d4242048a4ffbd8a3bca38e4532551e6021"}