{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:QFFJJPPLVN2PTNWLIZDOXR7JQU","short_pith_number":"pith:QFFJJPPL","schema_version":"1.0","canonical_sha256":"814a94bdebab74f9b6cb4646ebc7e9853e493728d069020bbb4c69f25491a0cb","source":{"kind":"arxiv","id":"2311.15159","version":3},"attestation_state":"computed","paper":{"title":"Du Bois complex and extension of forms beyond rational singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Sung Gi Park","submitted_at":"2023-11-26T01:43:03Z","abstract_excerpt":"We establish a characterization of the Du Bois complex of a reduced pair $(X,Z)$ when $X\\smallsetminus Z$ has rational singularities. As an application, when $X$ has normal Du Bois singularities and $Z$ is the locus of non-rational singularities of $X$, holomorphic $p$-forms on the smooth locus of $X$ extend regularly to forms on a resolution of singularities for $p\\le\\mathrm{codim}_X Z-1$, and to forms with log poles over $Z$ for $p\\ge\\mathrm{codim}_X Z$. If $X$ is not necessarily Du Bois, then $p$-forms extend regularly for $p\\le\\mathrm{codim}_X Z-2$. This is a generalization of the theorems"},"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":"2311.15159","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-11-26T01:43:03Z","cross_cats_sorted":[],"title_canon_sha256":"47ea9a95ea1a4135bdc10ba8cab0a557670b87f88efa465a08fe8aaa2b1e4e13","abstract_canon_sha256":"7cdf0f7002a50756058f6456c4caa66122d68ccb036c51eedb0ade0d89b59b71"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:43:01.452500Z","signature_b64":"MkwBTc9t7AZ8LxUcEUxRhJnTTKxnoBEz6TXzOgU1Iv1dPTi8zi0+0hb9yMIDKpdirYh3jlJoGdl5FUKg6JZuAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"814a94bdebab74f9b6cb4646ebc7e9853e493728d069020bbb4c69f25491a0cb","last_reissued_at":"2026-07-05T07:43:01.452059Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:43:01.452059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Du Bois complex and extension of forms beyond rational singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Sung Gi Park","submitted_at":"2023-11-26T01:43:03Z","abstract_excerpt":"We establish a characterization of the Du Bois complex of a reduced pair $(X,Z)$ when $X\\smallsetminus Z$ has rational singularities. As an application, when $X$ has normal Du Bois singularities and $Z$ is the locus of non-rational singularities of $X$, holomorphic $p$-forms on the smooth locus of $X$ extend regularly to forms on a resolution of singularities for $p\\le\\mathrm{codim}_X Z-1$, and to forms with log poles over $Z$ for $p\\ge\\mathrm{codim}_X Z$. If $X$ is not necessarily Du Bois, then $p$-forms extend regularly for $p\\le\\mathrm{codim}_X Z-2$. This is a generalization of the theorems"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.15159","kind":"arxiv","version":3},"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/2311.15159/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":"2311.15159","created_at":"2026-07-05T07:43:01.452119+00:00"},{"alias_kind":"arxiv_version","alias_value":"2311.15159v3","created_at":"2026-07-05T07:43:01.452119+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.15159","created_at":"2026-07-05T07:43:01.452119+00:00"},{"alias_kind":"pith_short_12","alias_value":"QFFJJPPLVN2P","created_at":"2026-07-05T07:43:01.452119+00:00"},{"alias_kind":"pith_short_16","alias_value":"QFFJJPPLVN2PTNWL","created_at":"2026-07-05T07:43:01.452119+00:00"},{"alias_kind":"pith_short_8","alias_value":"QFFJJPPL","created_at":"2026-07-05T07:43:01.452119+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2410.21007","citing_title":"Differential Forms and Hodge Structures on Singular Varieties","ref_index":14,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QFFJJPPLVN2PTNWLIZDOXR7JQU","json":"https://pith.science/pith/QFFJJPPLVN2PTNWLIZDOXR7JQU.json","graph_json":"https://pith.science/api/pith-number/QFFJJPPLVN2PTNWLIZDOXR7JQU/graph.json","events_json":"https://pith.science/api/pith-number/QFFJJPPLVN2PTNWLIZDOXR7JQU/events.json","paper":"https://pith.science/paper/QFFJJPPL"},"agent_actions":{"view_html":"https://pith.science/pith/QFFJJPPLVN2PTNWLIZDOXR7JQU","download_json":"https://pith.science/pith/QFFJJPPLVN2PTNWLIZDOXR7JQU.json","view_paper":"https://pith.science/paper/QFFJJPPL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2311.15159&json=true","fetch_graph":"https://pith.science/api/pith-number/QFFJJPPLVN2PTNWLIZDOXR7JQU/graph.json","fetch_events":"https://pith.science/api/pith-number/QFFJJPPLVN2PTNWLIZDOXR7JQU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QFFJJPPLVN2PTNWLIZDOXR7JQU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QFFJJPPLVN2PTNWLIZDOXR7JQU/action/storage_attestation","attest_author":"https://pith.science/pith/QFFJJPPLVN2PTNWLIZDOXR7JQU/action/author_attestation","sign_citation":"https://pith.science/pith/QFFJJPPLVN2PTNWLIZDOXR7JQU/action/citation_signature","submit_replication":"https://pith.science/pith/QFFJJPPLVN2PTNWLIZDOXR7JQU/action/replication_record"}},"created_at":"2026-07-05T07:43:01.452119+00:00","updated_at":"2026-07-05T07:43:01.452119+00:00"}