{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HORAWMQ5KLINMXYBSBAEHRQPJY","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":"d6713a38c3791135c2371bdc855fcb50f9733ae7c29402f125b5daa2cd20bb06","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-17T13:41:33Z","title_canon_sha256":"684358bfbfc5be928867c35cd990f2bc5dce1c8c59301c5a1a63c1f93ce03477"},"schema_version":"1.0","source":{"id":"1208.3597","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3597","created_at":"2026-05-18T03:16:17Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3597v2","created_at":"2026-05-18T03:16:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3597","created_at":"2026-05-18T03:16:17Z"},{"alias_kind":"pith_short_12","alias_value":"HORAWMQ5KLIN","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HORAWMQ5KLINMXYB","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HORAWMQ5","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:94d5088e82742d809549082aa845ef35107a91afd904c788b0b8e484c202911e","target":"graph","created_at":"2026-05-18T03:16:17Z","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 relate the global log canonical threshold of a variety with torus action to the global log canonical threshold of its quotient. We apply this to certain Fano varieties and use Tian's criterion to prove the existence of Kahler-Einstein metrics on them. In particular, we obtain simple examples of Fano threefolds being Kahler-Einstein but admitting deformations without Kahler-Einstein metric.","authors_text":"Hendrik S\\\"u{\\ss}","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-17T13:41:33Z","title":"Kahler-Einstein metrics on symmetric Fano T-varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3597","kind":"arxiv","version":2},"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":"sha256:512b5f0e3abf90a0ac71b89fd469d9985196fd8480bcdc35213cb14943032f72","target":"record","created_at":"2026-05-18T03:16:17Z","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":"d6713a38c3791135c2371bdc855fcb50f9733ae7c29402f125b5daa2cd20bb06","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-08-17T13:41:33Z","title_canon_sha256":"684358bfbfc5be928867c35cd990f2bc5dce1c8c59301c5a1a63c1f93ce03477"},"schema_version":"1.0","source":{"id":"1208.3597","kind":"arxiv","version":2}},"canonical_sha256":"3ba20b321d52d0d65f01904043c60f4e2f2cf48d51a44a9ea0ffb9d23ddc5f21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ba20b321d52d0d65f01904043c60f4e2f2cf48d51a44a9ea0ffb9d23ddc5f21","first_computed_at":"2026-05-18T03:16:17.273854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:16:17.273854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/12hKi6IbWdLtnxbUfci1W6hCo2Vz7QnTGVTuEQj96c/CTkH5fghxNyNLutk1SLQAYC/9pBw8IWo+W9GkQP5Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:16:17.274569Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3597","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:512b5f0e3abf90a0ac71b89fd469d9985196fd8480bcdc35213cb14943032f72","sha256:94d5088e82742d809549082aa845ef35107a91afd904c788b0b8e484c202911e"],"state_sha256":"d474beda19420f935f844c0687a1a39d89e95d56c341f57a1a877908532842d0"}