{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:BFXSTZNZFFH5ODRYS2X73DRQJN","short_pith_number":"pith:BFXSTZNZ","schema_version":"1.0","canonical_sha256":"096f29e5b9294fd70e3896affd8e304b4730043f35c1b74079ab878551ca5633","source":{"kind":"arxiv","id":"2103.15278","version":2},"attestation_state":"computed","paper":{"title":"The existence of the K\\\"ahler-Ricci soliton degeneration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Chenyang Xu, Harold Blum, Yuchen Liu, Ziquan Zhuang","submitted_at":"2021-03-29T02:10:19Z","abstract_excerpt":"We prove an algebraic version of the Hamilton-Tian Conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a reduced uniformly Ding stable triple, which admits a K\\\"ahler-Ricci soliton when the ground field $\\mathbb{k}=\\mathbb{C}$."},"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":"2103.15278","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-03-29T02:10:19Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"af6c4c220201ac4c2f6ae625d3010611cbd30b4e97b48e1e03d632b4c0001111","abstract_canon_sha256":"c1fffb490b372f21f0fa20f0323196599df03398e0f3019b4aa220b5fd2da178"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:21:26.812843Z","signature_b64":"+udCIA0kWWLql+0iQoEeH6PpEZ4qusiigVG0dz9lnK7gWnWpndjVXtYNb9IcVUvwCG3L7tQt36iOqIjDgJ5PDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"096f29e5b9294fd70e3896affd8e304b4730043f35c1b74079ab878551ca5633","last_reissued_at":"2026-07-05T06:21:26.812408Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:21:26.812408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The existence of the K\\\"ahler-Ricci soliton degeneration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Chenyang Xu, Harold Blum, Yuchen Liu, Ziquan Zhuang","submitted_at":"2021-03-29T02:10:19Z","abstract_excerpt":"We prove an algebraic version of the Hamilton-Tian Conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a reduced uniformly Ding stable triple, which admits a K\\\"ahler-Ricci soliton when the ground field $\\mathbb{k}=\\mathbb{C}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.15278","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.15278/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2103.15278","created_at":"2026-07-05T06:21:26.812460+00:00"},{"alias_kind":"arxiv_version","alias_value":"2103.15278v2","created_at":"2026-07-05T06:21:26.812460+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.15278","created_at":"2026-07-05T06:21:26.812460+00:00"},{"alias_kind":"pith_short_12","alias_value":"BFXSTZNZFFH5","created_at":"2026-07-05T06:21:26.812460+00:00"},{"alias_kind":"pith_short_16","alias_value":"BFXSTZNZFFH5ODRY","created_at":"2026-07-05T06:21:26.812460+00:00"},{"alias_kind":"pith_short_8","alias_value":"BFXSTZNZ","created_at":"2026-07-05T06:21:26.812460+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2409.01705","citing_title":"On the geometry of spaces of filtrations on local rings","ref_index":15,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BFXSTZNZFFH5ODRYS2X73DRQJN","json":"https://pith.science/pith/BFXSTZNZFFH5ODRYS2X73DRQJN.json","graph_json":"https://pith.science/api/pith-number/BFXSTZNZFFH5ODRYS2X73DRQJN/graph.json","events_json":"https://pith.science/api/pith-number/BFXSTZNZFFH5ODRYS2X73DRQJN/events.json","paper":"https://pith.science/paper/BFXSTZNZ"},"agent_actions":{"view_html":"https://pith.science/pith/BFXSTZNZFFH5ODRYS2X73DRQJN","download_json":"https://pith.science/pith/BFXSTZNZFFH5ODRYS2X73DRQJN.json","view_paper":"https://pith.science/paper/BFXSTZNZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2103.15278&json=true","fetch_graph":"https://pith.science/api/pith-number/BFXSTZNZFFH5ODRYS2X73DRQJN/graph.json","fetch_events":"https://pith.science/api/pith-number/BFXSTZNZFFH5ODRYS2X73DRQJN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BFXSTZNZFFH5ODRYS2X73DRQJN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BFXSTZNZFFH5ODRYS2X73DRQJN/action/storage_attestation","attest_author":"https://pith.science/pith/BFXSTZNZFFH5ODRYS2X73DRQJN/action/author_attestation","sign_citation":"https://pith.science/pith/BFXSTZNZFFH5ODRYS2X73DRQJN/action/citation_signature","submit_replication":"https://pith.science/pith/BFXSTZNZFFH5ODRYS2X73DRQJN/action/replication_record"}},"created_at":"2026-07-05T06:21:26.812460+00:00","updated_at":"2026-07-05T06:21:26.812460+00:00"}