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We study the set AP_m(a,q) and we parametrize it by the rational points of an algebraic curve."},"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":"1304.4361","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-04-16T08:34:58Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"c865d6893f470d8a5223530a07b1e12b3cc88e578e7dea8eed89b72b48a70b8e","abstract_canon_sha256":"2c832cb465a9c92b8aec9185d10d77bcd54756313c1919f9e1e2626bef859483"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:26.300676Z","signature_b64":"Obpo0obC8jjPj4eamZn/dtM/nrjJXg5XNPcTkY2rIlVuq5sTPeqjlQCQ4cA8but7afCc3+nZipHqUFHzvEMSAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1eaf297f2e32b7d2f6f0fc1452fdd837d354a49e841306938661eeef63cc23fd","last_reissued_at":"2026-05-18T02:19:26.299997Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:26.299997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On arithmetic progressions on Edwards curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Enrique Gonzalez-Jimenez","submitted_at":"2013-04-16T08:34:58Z","abstract_excerpt":"Let m be a positive integer and a,q two rational numbers. 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