{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:SKNO7ZRB5QBYUQWVHOLAGQRRIC","short_pith_number":"pith:SKNO7ZRB","schema_version":"1.0","canonical_sha256":"929aefe621ec038a42d53b9603423140aad5c444caf366e837f1e99008496984","source":{"kind":"arxiv","id":"1506.06480","version":1},"attestation_state":"computed","paper":{"title":"The almost Gorenstein Rees algebras over two-dimensional regular local rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Ken-ichi Yoshida, Naoki Taniguchi, Naoyuki Matsuoka, Shiro Goto","submitted_at":"2015-06-22T06:47:29Z","abstract_excerpt":"Let $(R,\\mathfrak{m})$ be a two-dimensional regular local ring with infinite residue class field. Then the Rees algebra $\\mathcal{R} (I)= \\bigoplus_{n \\ge 0}I^n$ of $I$ is an almost Gorenstein graded ring in the sense of Goto-Takahashi-Taniguchi for every $\\mathfrak{m}$-primary integrally closed ideal $I$ in $R$."},"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":"1506.06480","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2015-06-22T06:47:29Z","cross_cats_sorted":[],"title_canon_sha256":"b44b0b75563d5cd08b9eeb6c7a625c4f66ad539055cc8fd0b957e3408a557393","abstract_canon_sha256":"2a66d21c144bfe01324a70b98b229b0c270c1e8d30cf53ae458cb748c7a0de29"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:45.113291Z","signature_b64":"/gIs2y5ki6qrEvAwJxpZH9+mqGhH8tkTPCQGzmq2P+k+ASJQz5AlWbckJflnB9dHO2P9j7rX9FcqZuLLiUPbDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"929aefe621ec038a42d53b9603423140aad5c444caf366e837f1e99008496984","last_reissued_at":"2026-05-18T01:41:45.112706Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:45.112706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The almost Gorenstein Rees algebras over two-dimensional regular local rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Ken-ichi Yoshida, Naoki Taniguchi, Naoyuki Matsuoka, Shiro Goto","submitted_at":"2015-06-22T06:47:29Z","abstract_excerpt":"Let $(R,\\mathfrak{m})$ be a two-dimensional regular local ring with infinite residue class field. Then the Rees algebra $\\mathcal{R} (I)= \\bigoplus_{n \\ge 0}I^n$ of $I$ is an almost Gorenstein graded ring in the sense of Goto-Takahashi-Taniguchi for every $\\mathfrak{m}$-primary integrally closed ideal $I$ in $R$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06480","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":"1506.06480","created_at":"2026-05-18T01:41:45.112797+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.06480v1","created_at":"2026-05-18T01:41:45.112797+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06480","created_at":"2026-05-18T01:41:45.112797+00:00"},{"alias_kind":"pith_short_12","alias_value":"SKNO7ZRB5QBY","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"SKNO7ZRB5QBYUQWV","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"SKNO7ZRB","created_at":"2026-05-18T12:29:42.218222+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/SKNO7ZRB5QBYUQWVHOLAGQRRIC","json":"https://pith.science/pith/SKNO7ZRB5QBYUQWVHOLAGQRRIC.json","graph_json":"https://pith.science/api/pith-number/SKNO7ZRB5QBYUQWVHOLAGQRRIC/graph.json","events_json":"https://pith.science/api/pith-number/SKNO7ZRB5QBYUQWVHOLAGQRRIC/events.json","paper":"https://pith.science/paper/SKNO7ZRB"},"agent_actions":{"view_html":"https://pith.science/pith/SKNO7ZRB5QBYUQWVHOLAGQRRIC","download_json":"https://pith.science/pith/SKNO7ZRB5QBYUQWVHOLAGQRRIC.json","view_paper":"https://pith.science/paper/SKNO7ZRB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.06480&json=true","fetch_graph":"https://pith.science/api/pith-number/SKNO7ZRB5QBYUQWVHOLAGQRRIC/graph.json","fetch_events":"https://pith.science/api/pith-number/SKNO7ZRB5QBYUQWVHOLAGQRRIC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SKNO7ZRB5QBYUQWVHOLAGQRRIC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SKNO7ZRB5QBYUQWVHOLAGQRRIC/action/storage_attestation","attest_author":"https://pith.science/pith/SKNO7ZRB5QBYUQWVHOLAGQRRIC/action/author_attestation","sign_citation":"https://pith.science/pith/SKNO7ZRB5QBYUQWVHOLAGQRRIC/action/citation_signature","submit_replication":"https://pith.science/pith/SKNO7ZRB5QBYUQWVHOLAGQRRIC/action/replication_record"}},"created_at":"2026-05-18T01:41:45.112797+00:00","updated_at":"2026-05-18T01:41:45.112797+00:00"}