{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:U6YIO46JZO2BFW6ONYDKGCSADY","short_pith_number":"pith:U6YIO46J","schema_version":"1.0","canonical_sha256":"a7b08773c9cbb412dbce6e06a30a401e1db7d464083fd3e6b7cf0e0d2a919b11","source":{"kind":"arxiv","id":"1212.4714","version":1},"attestation_state":"computed","paper":{"title":"Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 \\pi","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"math.DG","authors_text":"Simon Donaldson, Song Sun, Xiuxiong Chen","submitted_at":"2012-12-19T15:56:55Z","abstract_excerpt":"This is the second of a series of three papers which provide proofs of results announced in arXiv:1210.7494. In this paper we consider the Gromov-Hausdorff limits of metrics with cone singularities in the case when the limiting cone angle is less than 2\\pi. We show that these are in a natrual way projective algebraic varieties. In the case when the limiting variety and the limiting divisor are smooth we show that the limiting metric also has standard cone singularities."},"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":"1212.4714","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-19T15:56:55Z","cross_cats_sorted":["math-ph","math.AG","math.MP"],"title_canon_sha256":"33169be09bdae2be5a3b855d9d175f512c1a1c3e4fbc2bad18dc471fb1c38228","abstract_canon_sha256":"df130d1711f8a7137d7a8aeb0724f401eeae67fcd84381c79da5a810147f6884"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:11.717715Z","signature_b64":"Yug4Overoqe/lvDO8MC0F0dthtVud+kOuLVRcyi3OxDkgRMi4mRvm3yPRtIDsFU2l4An3nYjVpgKOYkj4gpqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7b08773c9cbb412dbce6e06a30a401e1db7d464083fd3e6b7cf0e0d2a919b11","last_reissued_at":"2026-05-18T03:38:11.717301Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:11.717301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 \\pi","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AG","math.MP"],"primary_cat":"math.DG","authors_text":"Simon Donaldson, Song Sun, Xiuxiong Chen","submitted_at":"2012-12-19T15:56:55Z","abstract_excerpt":"This is the second of a series of three papers which provide proofs of results announced in arXiv:1210.7494. In this paper we consider the Gromov-Hausdorff limits of metrics with cone singularities in the case when the limiting cone angle is less than 2\\pi. We show that these are in a natrual way projective algebraic varieties. In the case when the limiting variety and the limiting divisor are smooth we show that the limiting metric also has standard cone singularities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4714","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":"1212.4714","created_at":"2026-05-18T03:38:11.717371+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.4714v1","created_at":"2026-05-18T03:38:11.717371+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4714","created_at":"2026-05-18T03:38:11.717371+00:00"},{"alias_kind":"pith_short_12","alias_value":"U6YIO46JZO2B","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"U6YIO46JZO2BFW6O","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"U6YIO46J","created_at":"2026-05-18T12:27:23.164592+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/U6YIO46JZO2BFW6ONYDKGCSADY","json":"https://pith.science/pith/U6YIO46JZO2BFW6ONYDKGCSADY.json","graph_json":"https://pith.science/api/pith-number/U6YIO46JZO2BFW6ONYDKGCSADY/graph.json","events_json":"https://pith.science/api/pith-number/U6YIO46JZO2BFW6ONYDKGCSADY/events.json","paper":"https://pith.science/paper/U6YIO46J"},"agent_actions":{"view_html":"https://pith.science/pith/U6YIO46JZO2BFW6ONYDKGCSADY","download_json":"https://pith.science/pith/U6YIO46JZO2BFW6ONYDKGCSADY.json","view_paper":"https://pith.science/paper/U6YIO46J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.4714&json=true","fetch_graph":"https://pith.science/api/pith-number/U6YIO46JZO2BFW6ONYDKGCSADY/graph.json","fetch_events":"https://pith.science/api/pith-number/U6YIO46JZO2BFW6ONYDKGCSADY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U6YIO46JZO2BFW6ONYDKGCSADY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U6YIO46JZO2BFW6ONYDKGCSADY/action/storage_attestation","attest_author":"https://pith.science/pith/U6YIO46JZO2BFW6ONYDKGCSADY/action/author_attestation","sign_citation":"https://pith.science/pith/U6YIO46JZO2BFW6ONYDKGCSADY/action/citation_signature","submit_replication":"https://pith.science/pith/U6YIO46JZO2BFW6ONYDKGCSADY/action/replication_record"}},"created_at":"2026-05-18T03:38:11.717371+00:00","updated_at":"2026-05-18T03:38:11.717371+00:00"}