{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:Z5UMBZX4G4BVBIXALYQEPSFGS7","short_pith_number":"pith:Z5UMBZX4","schema_version":"1.0","canonical_sha256":"cf68c0e6fc370350a2e05e2047c8a697fd3573b3442472dc6743d76b09eac3bf","source":{"kind":"arxiv","id":"1803.05382","version":2},"attestation_state":"computed","paper":{"title":"$F$-rationality of Rees algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Manoj Kummini, Mitra Koley","submitted_at":"2018-03-14T16:24:30Z","abstract_excerpt":"In this paper, we study the $F$-rationality of the Rees algebra and the extended Rees algebra of $\\mathfrak{m}$-primary ideals in excellent local rings $(R, \\mathfrak{m})$ of prime characteristic. We partially answer some conjectures and questions raised by N. Hara, K.-i. Watanabe and K.-i. Yoshida (J. Algebra, pp.153--190, vol 247, 2002)."},"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":"1803.05382","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-03-14T16:24:30Z","cross_cats_sorted":[],"title_canon_sha256":"0a0077a88965e73b3fab34d87426215443c62920d98506c3c886a11b57b1888c","abstract_canon_sha256":"f479d2dfbcf89f9cefd8cf1aad0477b415be14b855ddb17a0d3757a4952c212f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:23.493454Z","signature_b64":"pPAOm1PnrW7+TvwMbccNEEsUn5CnjhhmoAZ9L8T8QnquQMkrmBAfiqjmIjB0gpd8R/gDIOylOVi+2BKYni/+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf68c0e6fc370350a2e05e2047c8a697fd3573b3442472dc6743d76b09eac3bf","last_reissued_at":"2026-05-18T00:04:23.492725Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:23.492725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$F$-rationality of Rees algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Manoj Kummini, Mitra Koley","submitted_at":"2018-03-14T16:24:30Z","abstract_excerpt":"In this paper, we study the $F$-rationality of the Rees algebra and the extended Rees algebra of $\\mathfrak{m}$-primary ideals in excellent local rings $(R, \\mathfrak{m})$ of prime characteristic. We partially answer some conjectures and questions raised by N. Hara, K.-i. Watanabe and K.-i. Yoshida (J. Algebra, pp.153--190, vol 247, 2002)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05382","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":"1803.05382","created_at":"2026-05-18T00:04:23.492819+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.05382v2","created_at":"2026-05-18T00:04:23.492819+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05382","created_at":"2026-05-18T00:04:23.492819+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z5UMBZX4G4BV","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z5UMBZX4G4BVBIXA","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z5UMBZX4","created_at":"2026-05-18T12:33:04.347982+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/Z5UMBZX4G4BVBIXALYQEPSFGS7","json":"https://pith.science/pith/Z5UMBZX4G4BVBIXALYQEPSFGS7.json","graph_json":"https://pith.science/api/pith-number/Z5UMBZX4G4BVBIXALYQEPSFGS7/graph.json","events_json":"https://pith.science/api/pith-number/Z5UMBZX4G4BVBIXALYQEPSFGS7/events.json","paper":"https://pith.science/paper/Z5UMBZX4"},"agent_actions":{"view_html":"https://pith.science/pith/Z5UMBZX4G4BVBIXALYQEPSFGS7","download_json":"https://pith.science/pith/Z5UMBZX4G4BVBIXALYQEPSFGS7.json","view_paper":"https://pith.science/paper/Z5UMBZX4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.05382&json=true","fetch_graph":"https://pith.science/api/pith-number/Z5UMBZX4G4BVBIXALYQEPSFGS7/graph.json","fetch_events":"https://pith.science/api/pith-number/Z5UMBZX4G4BVBIXALYQEPSFGS7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z5UMBZX4G4BVBIXALYQEPSFGS7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z5UMBZX4G4BVBIXALYQEPSFGS7/action/storage_attestation","attest_author":"https://pith.science/pith/Z5UMBZX4G4BVBIXALYQEPSFGS7/action/author_attestation","sign_citation":"https://pith.science/pith/Z5UMBZX4G4BVBIXALYQEPSFGS7/action/citation_signature","submit_replication":"https://pith.science/pith/Z5UMBZX4G4BVBIXALYQEPSFGS7/action/replication_record"}},"created_at":"2026-05-18T00:04:23.492819+00:00","updated_at":"2026-05-18T00:04:23.492819+00:00"}