{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:VCGRBQ77GWCGFPMPRRYJNA5SUB","short_pith_number":"pith:VCGRBQ77","schema_version":"1.0","canonical_sha256":"a88d10c3ff358462bd8f8c709683b2a06820a17e5fc75b537a7ade591aa3f280","source":{"kind":"arxiv","id":"1201.0952","version":1},"attestation_state":"computed","paper":{"title":"K\\\"ahler-Einstein metrics with mixed Poincar\\'e and cone singularities along a normal crossing divisor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.CV","authors_text":"Henri Guenancia","submitted_at":"2012-01-04T18:14:36Z","abstract_excerpt":"Let X be a K\\\"ahler manifold and D be a R-divisor with simple normal crossing support and coefficients between 1/2 and 1. Assuming that K_X+D is ample, we prove the existence and uniqueness of a negatively curved Kahler-Einstein metric on X\\D having mixed Poincar\\'e and cone singularities according to the coefficients of D. As an application we prove a vanishing theorem for certain holomorphic tensor fields attached to the pair (X,D)."},"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":"1201.0952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2012-01-04T18:14:36Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"aa8c82524e7ecdf6409f630afa1bf754e0b9e551244000f01815e19f72ecb535","abstract_canon_sha256":"a6b530ce7495114083cc690ce2992234f84309016cb772b64943d33a0fdde9f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:15.397237Z","signature_b64":"uyyZMT6JBTGjoMLEuUI0+9bDi3SoasC3lYVvoY2uJTxg77ZZPIKFjq9+s1jRsycCz24ZDfoqnYVjgW0pi4USDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a88d10c3ff358462bd8f8c709683b2a06820a17e5fc75b537a7ade591aa3f280","last_reissued_at":"2026-05-18T04:05:15.396600Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:15.396600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"K\\\"ahler-Einstein metrics with mixed Poincar\\'e and cone singularities along a normal crossing divisor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.CV","authors_text":"Henri Guenancia","submitted_at":"2012-01-04T18:14:36Z","abstract_excerpt":"Let X be a K\\\"ahler manifold and D be a R-divisor with simple normal crossing support and coefficients between 1/2 and 1. Assuming that K_X+D is ample, we prove the existence and uniqueness of a negatively curved Kahler-Einstein metric on X\\D having mixed Poincar\\'e and cone singularities according to the coefficients of D. As an application we prove a vanishing theorem for certain holomorphic tensor fields attached to the pair (X,D)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0952","kind":"arxiv","version":1},"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":"1201.0952","created_at":"2026-05-18T04:05:15.396698+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.0952v1","created_at":"2026-05-18T04:05:15.396698+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0952","created_at":"2026-05-18T04:05:15.396698+00:00"},{"alias_kind":"pith_short_12","alias_value":"VCGRBQ77GWCG","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"VCGRBQ77GWCGFPMP","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"VCGRBQ77","created_at":"2026-05-18T12:27:25.539911+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/VCGRBQ77GWCGFPMPRRYJNA5SUB","json":"https://pith.science/pith/VCGRBQ77GWCGFPMPRRYJNA5SUB.json","graph_json":"https://pith.science/api/pith-number/VCGRBQ77GWCGFPMPRRYJNA5SUB/graph.json","events_json":"https://pith.science/api/pith-number/VCGRBQ77GWCGFPMPRRYJNA5SUB/events.json","paper":"https://pith.science/paper/VCGRBQ77"},"agent_actions":{"view_html":"https://pith.science/pith/VCGRBQ77GWCGFPMPRRYJNA5SUB","download_json":"https://pith.science/pith/VCGRBQ77GWCGFPMPRRYJNA5SUB.json","view_paper":"https://pith.science/paper/VCGRBQ77","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.0952&json=true","fetch_graph":"https://pith.science/api/pith-number/VCGRBQ77GWCGFPMPRRYJNA5SUB/graph.json","fetch_events":"https://pith.science/api/pith-number/VCGRBQ77GWCGFPMPRRYJNA5SUB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VCGRBQ77GWCGFPMPRRYJNA5SUB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VCGRBQ77GWCGFPMPRRYJNA5SUB/action/storage_attestation","attest_author":"https://pith.science/pith/VCGRBQ77GWCGFPMPRRYJNA5SUB/action/author_attestation","sign_citation":"https://pith.science/pith/VCGRBQ77GWCGFPMPRRYJNA5SUB/action/citation_signature","submit_replication":"https://pith.science/pith/VCGRBQ77GWCGFPMPRRYJNA5SUB/action/replication_record"}},"created_at":"2026-05-18T04:05:15.396698+00:00","updated_at":"2026-05-18T04:05:15.396698+00:00"}