{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:MNXDARXG2JUOVP5MANTSARMRN2","short_pith_number":"pith:MNXDARXG","schema_version":"1.0","canonical_sha256":"636e3046e6d268eabfac03672045916ea648ba2044b6d611e5e4b8b93d2b8975","source":{"kind":"arxiv","id":"1108.4885","version":2},"attestation_state":"computed","paper":{"title":"Blow-ups of locally conformally Kahler manifolds","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["math.CV","math.DG"],"primary_cat":"math.AG","authors_text":"Liviu Ornea, Misha Verbitsky, Victor Vuletescu","submitted_at":"2011-08-24T17:06:41Z","abstract_excerpt":"A locally conformally Kahler (LCK) manifold is a manifold which is covered by a Kahler manifold, with the deck transform group acting by homotheties. We show that the blow-up of a compact LCK manifold along a complex submanifold admits an LCK structure if and only if this submanifold is globally conformally Kahler. We also prove that a twistor space (of a compact 4-manifold, a quaternion-Kahler manifold or a Riemannian m anifold) cannot admit an LCK metric, unless it is Kahler."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1108.4885","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AG","submitted_at":"2011-08-24T17:06:41Z","cross_cats_sorted":["math.CV","math.DG"],"title_canon_sha256":"875d80d5ef7e59031c2df61256b90ece79db8bb86e8ad486c75c82ea9d233fa4","abstract_canon_sha256":"db368ae97c419248fa38ddab33c2328909e0ff6af80def5a6a52bde4aa9b9f96"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:24.283532Z","signature_b64":"Z6LKJqXE/ONBqJeE1K1Zy/M9f6PhvHjLcDOwG75PqNftlGzMZUQreI0RwpvlKdJ+ZAYRilt9oSP/KaoYcGD/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"636e3046e6d268eabfac03672045916ea648ba2044b6d611e5e4b8b93d2b8975","last_reissued_at":"2026-05-18T03:11:24.282701Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:24.282701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Blow-ups of locally conformally Kahler manifolds","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["math.CV","math.DG"],"primary_cat":"math.AG","authors_text":"Liviu Ornea, Misha Verbitsky, Victor Vuletescu","submitted_at":"2011-08-24T17:06:41Z","abstract_excerpt":"A locally conformally Kahler (LCK) manifold is a manifold which is covered by a Kahler manifold, with the deck transform group acting by homotheties. We show that the blow-up of a compact LCK manifold along a complex submanifold admits an LCK structure if and only if this submanifold is globally conformally Kahler. We also prove that a twistor space (of a compact 4-manifold, a quaternion-Kahler manifold or a Riemannian m anifold) cannot admit an LCK metric, unless it is Kahler."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4885","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1108.4885","created_at":"2026-05-18T03:11:24.282843+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.4885v2","created_at":"2026-05-18T03:11:24.282843+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4885","created_at":"2026-05-18T03:11:24.282843+00:00"},{"alias_kind":"pith_short_12","alias_value":"MNXDARXG2JUO","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"MNXDARXG2JUOVP5M","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"MNXDARXG","created_at":"2026-05-18T12:26:34.985390+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MNXDARXG2JUOVP5MANTSARMRN2","json":"https://pith.science/pith/MNXDARXG2JUOVP5MANTSARMRN2.json","graph_json":"https://pith.science/api/pith-number/MNXDARXG2JUOVP5MANTSARMRN2/graph.json","events_json":"https://pith.science/api/pith-number/MNXDARXG2JUOVP5MANTSARMRN2/events.json","paper":"https://pith.science/paper/MNXDARXG"},"agent_actions":{"view_html":"https://pith.science/pith/MNXDARXG2JUOVP5MANTSARMRN2","download_json":"https://pith.science/pith/MNXDARXG2JUOVP5MANTSARMRN2.json","view_paper":"https://pith.science/paper/MNXDARXG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.4885&json=true","fetch_graph":"https://pith.science/api/pith-number/MNXDARXG2JUOVP5MANTSARMRN2/graph.json","fetch_events":"https://pith.science/api/pith-number/MNXDARXG2JUOVP5MANTSARMRN2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MNXDARXG2JUOVP5MANTSARMRN2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MNXDARXG2JUOVP5MANTSARMRN2/action/storage_attestation","attest_author":"https://pith.science/pith/MNXDARXG2JUOVP5MANTSARMRN2/action/author_attestation","sign_citation":"https://pith.science/pith/MNXDARXG2JUOVP5MANTSARMRN2/action/citation_signature","submit_replication":"https://pith.science/pith/MNXDARXG2JUOVP5MANTSARMRN2/action/replication_record"}},"created_at":"2026-05-18T03:11:24.282843+00:00","updated_at":"2026-05-18T03:11:24.282843+00:00"}