{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:G2GDSGM56JDOWFM5HZKXAHDKER","short_pith_number":"pith:G2GDSGM5","schema_version":"1.0","canonical_sha256":"368c39199df246eb159d3e55701c6a2469f724a298d9678f524ca1610be7d3e8","source":{"kind":"arxiv","id":"1308.5285","version":1},"attestation_state":"computed","paper":{"title":"Rees Algebras of Truncations of Complete Intersections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Claudia Polini, Kuei-Nuan Lin","submitted_at":"2013-08-24T02:55:09Z","abstract_excerpt":"In this paper we describe the defining equations of the Rees algebra and the special fiber ring of a truncation I of a complete intersection ideal in a polynomial ring over a field with homogeneous maximal ideal m. To describe explicitly the Rees algebra R(I) in terms of generators and relations we map another Rees ring R(M) onto it, where M is the direct sum of powers of m. We compute a Groebner basis of the ideal defining R(M). It turns out that the normal domain R(M) is a Koszul algebra and from this we deduce that in many instances R(I) is a Koszul algebra as well."},"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":"1308.5285","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-08-24T02:55:09Z","cross_cats_sorted":[],"title_canon_sha256":"5d065e2cf0a1b47e88b2fc2c853166edb99a18e7ada13e3e4481cdb56c95f552","abstract_canon_sha256":"9de6c41b694c1de639ab54b93c40578e2488ab59e1d90c0678450863452a7eff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:07.177761Z","signature_b64":"edi52eg/rCQCa1mtZHXQbT9tH/TAz4UEIJOJ4nHP7iW/Cll8YG+URIdasuOb9U8T07IL8cO2HB9lX7QnAq+YBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"368c39199df246eb159d3e55701c6a2469f724a298d9678f524ca1610be7d3e8","last_reissued_at":"2026-05-18T03:15:07.176752Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:07.176752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rees Algebras of Truncations of Complete Intersections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Claudia Polini, Kuei-Nuan Lin","submitted_at":"2013-08-24T02:55:09Z","abstract_excerpt":"In this paper we describe the defining equations of the Rees algebra and the special fiber ring of a truncation I of a complete intersection ideal in a polynomial ring over a field with homogeneous maximal ideal m. To describe explicitly the Rees algebra R(I) in terms of generators and relations we map another Rees ring R(M) onto it, where M is the direct sum of powers of m. We compute a Groebner basis of the ideal defining R(M). It turns out that the normal domain R(M) is a Koszul algebra and from this we deduce that in many instances R(I) is a Koszul algebra as well."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5285","kind":"arxiv","version":1},"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":"1308.5285","created_at":"2026-05-18T03:15:07.176885+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.5285v1","created_at":"2026-05-18T03:15:07.176885+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5285","created_at":"2026-05-18T03:15:07.176885+00:00"},{"alias_kind":"pith_short_12","alias_value":"G2GDSGM56JDO","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"G2GDSGM56JDOWFM5","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"G2GDSGM5","created_at":"2026-05-18T12:27:45.050594+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/G2GDSGM56JDOWFM5HZKXAHDKER","json":"https://pith.science/pith/G2GDSGM56JDOWFM5HZKXAHDKER.json","graph_json":"https://pith.science/api/pith-number/G2GDSGM56JDOWFM5HZKXAHDKER/graph.json","events_json":"https://pith.science/api/pith-number/G2GDSGM56JDOWFM5HZKXAHDKER/events.json","paper":"https://pith.science/paper/G2GDSGM5"},"agent_actions":{"view_html":"https://pith.science/pith/G2GDSGM56JDOWFM5HZKXAHDKER","download_json":"https://pith.science/pith/G2GDSGM56JDOWFM5HZKXAHDKER.json","view_paper":"https://pith.science/paper/G2GDSGM5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.5285&json=true","fetch_graph":"https://pith.science/api/pith-number/G2GDSGM56JDOWFM5HZKXAHDKER/graph.json","fetch_events":"https://pith.science/api/pith-number/G2GDSGM56JDOWFM5HZKXAHDKER/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G2GDSGM56JDOWFM5HZKXAHDKER/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G2GDSGM56JDOWFM5HZKXAHDKER/action/storage_attestation","attest_author":"https://pith.science/pith/G2GDSGM56JDOWFM5HZKXAHDKER/action/author_attestation","sign_citation":"https://pith.science/pith/G2GDSGM56JDOWFM5HZKXAHDKER/action/citation_signature","submit_replication":"https://pith.science/pith/G2GDSGM56JDOWFM5HZKXAHDKER/action/replication_record"}},"created_at":"2026-05-18T03:15:07.176885+00:00","updated_at":"2026-05-18T03:15:07.176885+00:00"}