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We give a simple proof for the the Gorenstein property for the symbolic blowup algebras of these curves."},"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":"1708.01374","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2017-08-04T04:23:45Z","cross_cats_sorted":[],"title_canon_sha256":"32efbbdf74a00f41090319cc7ef7ae2ffc2f4cebdf40726444e7d6bf1bc548e7","abstract_canon_sha256":"3338904c7c549bf6a2b1ae913cca6f7a60d25e170805564d016c86a96aacd2b9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:12.065245Z","signature_b64":"HyQhaxUwMtsc9YLUjfIfUzQgh1jQ6gZ9GGjpmB+DBfWBEHSbBBTS3eHkhWGZ5/hlqH93eJdUmrtYcmu93WgUCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83503ce2290e18973df0af49f65bc9efcc0b74295d0e28fea62c5ef5d03afeda","last_reissued_at":"2026-05-18T00:31:12.064527Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:12.064527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symbolic Blowup algebras of monomial curves in ${\\mathbb A}^3$ defined by arithmetic sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Clare D'Cruz","submitted_at":"2017-08-04T04:23:45Z","abstract_excerpt":"In this paper, we consider monomial curves in ${\\mathbb A}_k^3$ parameterized by $t \\rightarrow (t^{2q +1}, t^{2q +1 + m}, t^{2q +1 +2 m})$ where $gcd( 2q+1,m)=1$. 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We give a simple proof for the the Gorenstein property for the symbolic blowup algebras of these curves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01374","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":"1708.01374","created_at":"2026-05-18T00:31:12.064671+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.01374v2","created_at":"2026-05-18T00:31:12.064671+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01374","created_at":"2026-05-18T00:31:12.064671+00:00"},{"alias_kind":"pith_short_12","alias_value":"QNIDZYRJBYMJ","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"QNIDZYRJBYMJOPPQ","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"QNIDZYRJ","created_at":"2026-05-18T12:31:39.905425+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/QNIDZYRJBYMJOPPQV5E7MW6J57","json":"https://pith.science/pith/QNIDZYRJBYMJOPPQV5E7MW6J57.json","graph_json":"https://pith.science/api/pith-number/QNIDZYRJBYMJOPPQV5E7MW6J57/graph.json","events_json":"https://pith.science/api/pith-number/QNIDZYRJBYMJOPPQV5E7MW6J57/events.json","paper":"https://pith.science/paper/QNIDZYRJ"},"agent_actions":{"view_html":"https://pith.science/pith/QNIDZYRJBYMJOPPQV5E7MW6J57","download_json":"https://pith.science/pith/QNIDZYRJBYMJOPPQV5E7MW6J57.json","view_paper":"https://pith.science/paper/QNIDZYRJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.01374&json=true","fetch_graph":"https://pith.science/api/pith-number/QNIDZYRJBYMJOPPQV5E7MW6J57/graph.json","fetch_events":"https://pith.science/api/pith-number/QNIDZYRJBYMJOPPQV5E7MW6J57/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QNIDZYRJBYMJOPPQV5E7MW6J57/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QNIDZYRJBYMJOPPQV5E7MW6J57/action/storage_attestation","attest_author":"https://pith.science/pith/QNIDZYRJBYMJOPPQV5E7MW6J57/action/author_attestation","sign_citation":"https://pith.science/pith/QNIDZYRJBYMJOPPQV5E7MW6J57/action/citation_signature","submit_replication":"https://pith.science/pith/QNIDZYRJBYMJOPPQV5E7MW6J57/action/replication_record"}},"created_at":"2026-05-18T00:31:12.064671+00:00","updated_at":"2026-05-18T00:31:12.064671+00:00"}