{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:JE7WPX3VQC3ENZLLKVDX6CCSC7","short_pith_number":"pith:JE7WPX3V","schema_version":"1.0","canonical_sha256":"493f67df7580b646e56b55477f085217d7d6041dda04c23d4045a230ac51e946","source":{"kind":"arxiv","id":"1309.5342","version":2},"attestation_state":"computed","paper":{"title":"Fano varieties with small non-klt locus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Andreas H\\\"oring, Carla Novelli, Mauro C. Beltrametti","submitted_at":"2013-09-20T18:42:32Z","abstract_excerpt":"Let X be a Fano variety of index k such that the non-klt locus Nklt(X) is not empty. We prove that Nklt(X) has dimension at least k-1 and equality holds if and only if Nklt(X) is a linear projective space P^{k-1}. In this case X has lc singularities and is a generalised cone with Nklt(X) as vertex. If X has lc singularities and Nklt(X) has dimension k we describe the non-klt locus and the global geometry of X. Moreover, we construct examples to show that all the classification results are effective."},"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":"1309.5342","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-20T18:42:32Z","cross_cats_sorted":[],"title_canon_sha256":"d9f449122125f710b3d0583c20600fd394ad7f368f27001559c69ecc2dd6bd4f","abstract_canon_sha256":"ccf7b74e62db63216e9e5159e87a49bcd19c808a7df11241521fd0cdd0cc8a3e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:21.960440Z","signature_b64":"u/iY9+ouEETPAa1RmxVAaFcEE2Zi2wj4WprsDLTO78ylpe76NI6J7u7GrutdUi+CDeJOt9ZpAnjIbXrJ8nXoDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"493f67df7580b646e56b55477f085217d7d6041dda04c23d4045a230ac51e946","last_reissued_at":"2026-05-18T00:32:21.959843Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:21.959843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fano varieties with small non-klt locus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Andreas H\\\"oring, Carla Novelli, Mauro C. Beltrametti","submitted_at":"2013-09-20T18:42:32Z","abstract_excerpt":"Let X be a Fano variety of index k such that the non-klt locus Nklt(X) is not empty. We prove that Nklt(X) has dimension at least k-1 and equality holds if and only if Nklt(X) is a linear projective space P^{k-1}. In this case X has lc singularities and is a generalised cone with Nklt(X) as vertex. If X has lc singularities and Nklt(X) has dimension k we describe the non-klt locus and the global geometry of X. Moreover, we construct examples to show that all the classification results are effective."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.5342","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":""},"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":"1309.5342","created_at":"2026-05-18T00:32:21.959931+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.5342v2","created_at":"2026-05-18T00:32:21.959931+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.5342","created_at":"2026-05-18T00:32:21.959931+00:00"},{"alias_kind":"pith_short_12","alias_value":"JE7WPX3VQC3E","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"JE7WPX3VQC3ENZLL","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"JE7WPX3V","created_at":"2026-05-18T12:27:49.015174+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/JE7WPX3VQC3ENZLLKVDX6CCSC7","json":"https://pith.science/pith/JE7WPX3VQC3ENZLLKVDX6CCSC7.json","graph_json":"https://pith.science/api/pith-number/JE7WPX3VQC3ENZLLKVDX6CCSC7/graph.json","events_json":"https://pith.science/api/pith-number/JE7WPX3VQC3ENZLLKVDX6CCSC7/events.json","paper":"https://pith.science/paper/JE7WPX3V"},"agent_actions":{"view_html":"https://pith.science/pith/JE7WPX3VQC3ENZLLKVDX6CCSC7","download_json":"https://pith.science/pith/JE7WPX3VQC3ENZLLKVDX6CCSC7.json","view_paper":"https://pith.science/paper/JE7WPX3V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.5342&json=true","fetch_graph":"https://pith.science/api/pith-number/JE7WPX3VQC3ENZLLKVDX6CCSC7/graph.json","fetch_events":"https://pith.science/api/pith-number/JE7WPX3VQC3ENZLLKVDX6CCSC7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JE7WPX3VQC3ENZLLKVDX6CCSC7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JE7WPX3VQC3ENZLLKVDX6CCSC7/action/storage_attestation","attest_author":"https://pith.science/pith/JE7WPX3VQC3ENZLLKVDX6CCSC7/action/author_attestation","sign_citation":"https://pith.science/pith/JE7WPX3VQC3ENZLLKVDX6CCSC7/action/citation_signature","submit_replication":"https://pith.science/pith/JE7WPX3VQC3ENZLLKVDX6CCSC7/action/replication_record"}},"created_at":"2026-05-18T00:32:21.959931+00:00","updated_at":"2026-05-18T00:32:21.959931+00:00"}