{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:GBFUCA3JXXJOSKE5EM3DPN2G3J","short_pith_number":"pith:GBFUCA3J","schema_version":"1.0","canonical_sha256":"304b410369bdd2e9289d233637b746da4880f2aa06003bade6548141264ccf1f","source":{"kind":"arxiv","id":"1506.07495","version":1},"attestation_state":"computed","paper":{"title":"K\\\"ahler-Einstein metrics along the smooth continuity method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"G\\'abor Sz\\'ekelyhidi, Ved Datar","submitted_at":"2015-06-24T18:51:09Z","abstract_excerpt":"We show that if a Fano manifold $M$ is K-stable with respect to special degenerations equivariant under a compact group of automorphisms, then $M$ admits a K\\\"ahler-Einstein metric. This is a strengthening of the solution of the Yau-Tian-Donaldson conjecture for Fano manifolds by Chen-Donaldson-Sun, and can be used to obtain new examples of K\\\"ahler-Einstein manifolds. We also give analogous results for twisted K\\\"ahler-Einstein metrics and Kahler-Ricci solitons."},"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":"1506.07495","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-06-24T18:51:09Z","cross_cats_sorted":[],"title_canon_sha256":"589a89abd85afd4f603a47709e22a590eb5d786d27830e242ff4912563d6a121","abstract_canon_sha256":"521b75d34fddeb2745e288e4ae44d29e6f322e69c4d5435788279cdbc54ad5c0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:53.910896Z","signature_b64":"XZnPsYqZsE87r4e6ZIPLugdZTLCgArZqanX1qBhfvTUVyVXCg/kLe+XBXQPFl7dQRq7V1fTSQz477CbC97l2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"304b410369bdd2e9289d233637b746da4880f2aa06003bade6548141264ccf1f","last_reissued_at":"2026-05-18T01:39:53.910429Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:53.910429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"K\\\"ahler-Einstein metrics along the smooth continuity method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"G\\'abor Sz\\'ekelyhidi, Ved Datar","submitted_at":"2015-06-24T18:51:09Z","abstract_excerpt":"We show that if a Fano manifold $M$ is K-stable with respect to special degenerations equivariant under a compact group of automorphisms, then $M$ admits a K\\\"ahler-Einstein metric. This is a strengthening of the solution of the Yau-Tian-Donaldson conjecture for Fano manifolds by Chen-Donaldson-Sun, and can be used to obtain new examples of K\\\"ahler-Einstein manifolds. We also give analogous results for twisted K\\\"ahler-Einstein metrics and Kahler-Ricci solitons."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07495","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":"1506.07495","created_at":"2026-05-18T01:39:53.910503+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.07495v1","created_at":"2026-05-18T01:39:53.910503+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07495","created_at":"2026-05-18T01:39:53.910503+00:00"},{"alias_kind":"pith_short_12","alias_value":"GBFUCA3JXXJO","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"GBFUCA3JXXJOSKE5","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"GBFUCA3J","created_at":"2026-05-18T12:29:22.688609+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/GBFUCA3JXXJOSKE5EM3DPN2G3J","json":"https://pith.science/pith/GBFUCA3JXXJOSKE5EM3DPN2G3J.json","graph_json":"https://pith.science/api/pith-number/GBFUCA3JXXJOSKE5EM3DPN2G3J/graph.json","events_json":"https://pith.science/api/pith-number/GBFUCA3JXXJOSKE5EM3DPN2G3J/events.json","paper":"https://pith.science/paper/GBFUCA3J"},"agent_actions":{"view_html":"https://pith.science/pith/GBFUCA3JXXJOSKE5EM3DPN2G3J","download_json":"https://pith.science/pith/GBFUCA3JXXJOSKE5EM3DPN2G3J.json","view_paper":"https://pith.science/paper/GBFUCA3J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.07495&json=true","fetch_graph":"https://pith.science/api/pith-number/GBFUCA3JXXJOSKE5EM3DPN2G3J/graph.json","fetch_events":"https://pith.science/api/pith-number/GBFUCA3JXXJOSKE5EM3DPN2G3J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GBFUCA3JXXJOSKE5EM3DPN2G3J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GBFUCA3JXXJOSKE5EM3DPN2G3J/action/storage_attestation","attest_author":"https://pith.science/pith/GBFUCA3JXXJOSKE5EM3DPN2G3J/action/author_attestation","sign_citation":"https://pith.science/pith/GBFUCA3JXXJOSKE5EM3DPN2G3J/action/citation_signature","submit_replication":"https://pith.science/pith/GBFUCA3JXXJOSKE5EM3DPN2G3J/action/replication_record"}},"created_at":"2026-05-18T01:39:53.910503+00:00","updated_at":"2026-05-18T01:39:53.910503+00:00"}