{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:6A3C3GOUP7JBJHPS46446VXVEJ","short_pith_number":"pith:6A3C3GOU","schema_version":"1.0","canonical_sha256":"f0362d99d47fd2149df2e7b9cf56f522793a56548349effe092f3a6b484daca3","source":{"kind":"arxiv","id":"2501.01567","version":2},"attestation_state":"computed","paper":{"title":"$K_2$-regularity and normality","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.AG","authors_text":"Charles A. Weibel, Christian Haesemeyer","submitted_at":"2025-01-02T23:02:32Z","abstract_excerpt":"We take a fresh look at the relationship between $K$-regularity and regularity of schemes, proving two results in this direction. First, we show that $K_2$-regular affine algebras over fields of characteristic zero are normal. Second, we improve on Vorst's $K$-regularity bound in the case of local complete intersections; this is related to recent work on higher du Bois singularities."},"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":"2501.01567","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-01-02T23:02:32Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"b4ddde394283febddb4fc97fa78c9b02a0d38c839e0ee6551c969c2a6af4d612","abstract_canon_sha256":"93d03b28159dcb2b59fa630f442da0bce9835512e30f1355055ee118a6cee1fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:12:24.774066Z","signature_b64":"s2qLmSU66652rcRRYW9ATxbRD2lpiFDozX6ViifKEfNSBBF0fEdRrmzBAJBG0Dh49nWfVajfCbbwJehKGEnjAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0362d99d47fd2149df2e7b9cf56f522793a56548349effe092f3a6b484daca3","last_reissued_at":"2026-07-05T10:12:24.773598Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:12:24.773598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$K_2$-regularity and normality","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.AG","authors_text":"Charles A. Weibel, Christian Haesemeyer","submitted_at":"2025-01-02T23:02:32Z","abstract_excerpt":"We take a fresh look at the relationship between $K$-regularity and regularity of schemes, proving two results in this direction. First, we show that $K_2$-regular affine algebras over fields of characteristic zero are normal. Second, we improve on Vorst's $K$-regularity bound in the case of local complete intersections; this is related to recent work on higher du Bois singularities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.01567","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/2501.01567/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":"2501.01567","created_at":"2026-07-05T10:12:24.773656+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.01567v2","created_at":"2026-07-05T10:12:24.773656+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.01567","created_at":"2026-07-05T10:12:24.773656+00:00"},{"alias_kind":"pith_short_12","alias_value":"6A3C3GOUP7JB","created_at":"2026-07-05T10:12:24.773656+00:00"},{"alias_kind":"pith_short_16","alias_value":"6A3C3GOUP7JBJHPS","created_at":"2026-07-05T10:12:24.773656+00:00"},{"alias_kind":"pith_short_8","alias_value":"6A3C3GOU","created_at":"2026-07-05T10:12:24.773656+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/6A3C3GOUP7JBJHPS46446VXVEJ","json":"https://pith.science/pith/6A3C3GOUP7JBJHPS46446VXVEJ.json","graph_json":"https://pith.science/api/pith-number/6A3C3GOUP7JBJHPS46446VXVEJ/graph.json","events_json":"https://pith.science/api/pith-number/6A3C3GOUP7JBJHPS46446VXVEJ/events.json","paper":"https://pith.science/paper/6A3C3GOU"},"agent_actions":{"view_html":"https://pith.science/pith/6A3C3GOUP7JBJHPS46446VXVEJ","download_json":"https://pith.science/pith/6A3C3GOUP7JBJHPS46446VXVEJ.json","view_paper":"https://pith.science/paper/6A3C3GOU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.01567&json=true","fetch_graph":"https://pith.science/api/pith-number/6A3C3GOUP7JBJHPS46446VXVEJ/graph.json","fetch_events":"https://pith.science/api/pith-number/6A3C3GOUP7JBJHPS46446VXVEJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6A3C3GOUP7JBJHPS46446VXVEJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6A3C3GOUP7JBJHPS46446VXVEJ/action/storage_attestation","attest_author":"https://pith.science/pith/6A3C3GOUP7JBJHPS46446VXVEJ/action/author_attestation","sign_citation":"https://pith.science/pith/6A3C3GOUP7JBJHPS46446VXVEJ/action/citation_signature","submit_replication":"https://pith.science/pith/6A3C3GOUP7JBJHPS46446VXVEJ/action/replication_record"}},"created_at":"2026-07-05T10:12:24.773656+00:00","updated_at":"2026-07-05T10:12:24.773656+00:00"}