{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:VMLXRAZ3L7PYMJR5F4SU7U4MPF","short_pith_number":"pith:VMLXRAZ3","schema_version":"1.0","canonical_sha256":"ab1778833b5fdf86263d2f254fd38c797a49a8d4e8f2062872dea9a73159b58e","source":{"kind":"arxiv","id":"0902.0648","version":4},"attestation_state":"computed","paper":{"title":"Log canonical singularities are Du Bois","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"J\\'anos Koll\\'ar, S\\'andor J Kov\\'acs","submitted_at":"2009-02-04T00:59:30Z","abstract_excerpt":"A recurring difficulty in the Minimal Model Program is that while log terminal singularities are quite well behaved (for instance, they are rational), log canonical singularities are much more complicated; they need not even be Cohen-Macaulay. The aim of this paper is to prove that log canonical singularities are Du Bois. The concept of Du Bois singularities, introduced by Steenbrink, is a weakening of rationality. We also prove flatness of the cohomology sheaves of the relative dualizing complex of a projective family with Du Bois fibers. This implies that each connected component of the modu"},"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":"0902.0648","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-02-04T00:59:30Z","cross_cats_sorted":[],"title_canon_sha256":"8aa5642c2c353e43c9424a0b7f30dab053b86571f33f8a4ce4f7e929c4a93262","abstract_canon_sha256":"3b1814fe7476ebc6f7b021ffddf4a6e73a11eb2c81939538518f35b55789dbe4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:54.333672Z","signature_b64":"c8o6HiAoyhds+F6sT5RSKCL7xrPIJleKqeNf9zTHXBP3Uq5wdulrZ+Ig8xplJQzgtV9FmOt9luMPc2An+olHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab1778833b5fdf86263d2f254fd38c797a49a8d4e8f2062872dea9a73159b58e","last_reissued_at":"2026-05-18T02:14:54.333124Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:54.333124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Log canonical singularities are Du Bois","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"J\\'anos Koll\\'ar, S\\'andor J Kov\\'acs","submitted_at":"2009-02-04T00:59:30Z","abstract_excerpt":"A recurring difficulty in the Minimal Model Program is that while log terminal singularities are quite well behaved (for instance, they are rational), log canonical singularities are much more complicated; they need not even be Cohen-Macaulay. The aim of this paper is to prove that log canonical singularities are Du Bois. The concept of Du Bois singularities, introduced by Steenbrink, is a weakening of rationality. We also prove flatness of the cohomology sheaves of the relative dualizing complex of a projective family with Du Bois fibers. This implies that each connected component of the modu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.0648","kind":"arxiv","version":4},"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":"0902.0648","created_at":"2026-05-18T02:14:54.333208+00:00"},{"alias_kind":"arxiv_version","alias_value":"0902.0648v4","created_at":"2026-05-18T02:14:54.333208+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.0648","created_at":"2026-05-18T02:14:54.333208+00:00"},{"alias_kind":"pith_short_12","alias_value":"VMLXRAZ3L7PY","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"VMLXRAZ3L7PYMJR5","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"VMLXRAZ3","created_at":"2026-05-18T12:26:02.257875+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/VMLXRAZ3L7PYMJR5F4SU7U4MPF","json":"https://pith.science/pith/VMLXRAZ3L7PYMJR5F4SU7U4MPF.json","graph_json":"https://pith.science/api/pith-number/VMLXRAZ3L7PYMJR5F4SU7U4MPF/graph.json","events_json":"https://pith.science/api/pith-number/VMLXRAZ3L7PYMJR5F4SU7U4MPF/events.json","paper":"https://pith.science/paper/VMLXRAZ3"},"agent_actions":{"view_html":"https://pith.science/pith/VMLXRAZ3L7PYMJR5F4SU7U4MPF","download_json":"https://pith.science/pith/VMLXRAZ3L7PYMJR5F4SU7U4MPF.json","view_paper":"https://pith.science/paper/VMLXRAZ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0902.0648&json=true","fetch_graph":"https://pith.science/api/pith-number/VMLXRAZ3L7PYMJR5F4SU7U4MPF/graph.json","fetch_events":"https://pith.science/api/pith-number/VMLXRAZ3L7PYMJR5F4SU7U4MPF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VMLXRAZ3L7PYMJR5F4SU7U4MPF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VMLXRAZ3L7PYMJR5F4SU7U4MPF/action/storage_attestation","attest_author":"https://pith.science/pith/VMLXRAZ3L7PYMJR5F4SU7U4MPF/action/author_attestation","sign_citation":"https://pith.science/pith/VMLXRAZ3L7PYMJR5F4SU7U4MPF/action/citation_signature","submit_replication":"https://pith.science/pith/VMLXRAZ3L7PYMJR5F4SU7U4MPF/action/replication_record"}},"created_at":"2026-05-18T02:14:54.333208+00:00","updated_at":"2026-05-18T02:14:54.333208+00:00"}