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For $m$ a divisor of $q+1$, complete plane arcs of size approximately $q/m$ are obtained, provided that $(m,6)=1$ and $m<\\{1}{4}q^{1/4}$. If in addition $m=m_1m_2$ with $(m_1,m_2)=1$, then complete caps of size approximately $\\{m_1+m_2}{m}q^{N/2}$ in affine spaces of dimension $N\\equiv 0 \\pmod 4$ are constructed."},"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":"1305.3420","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-05-15T10:29:18Z","cross_cats_sorted":[],"title_canon_sha256":"efb8f50150f4847b3044580f77b575a288c236a810a10dff3f925ad717b4428d","abstract_canon_sha256":"7d67079f6b2faad3e67cdcb9823af81dfc4014192acee8a97895a4d087e14249"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:35.845868Z","signature_b64":"THnKU6K4hqf8ofD+cX+6uFQd6U4z4irW+yPgGm9qLx3Pv6I1ZEVKWqKQ5IR3ClUVoeYee4iyONK9sN2c44mSDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e258204c2acf4db2d003d231485a92252bc416694aa947f7fbabed7ecf8fcaf","last_reissued_at":"2026-05-18T03:25:35.845466Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:35.845466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Complete arcs and complete caps from cubics with an isolated double point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Daniele Bartoli, Irene Platoni, Massimo Giulietti, Nurdagul Anbar","submitted_at":"2013-05-15T10:29:18Z","abstract_excerpt":"Small complete arcs and caps in Galois spaces over finite fields $\\fq$ with characteristic greater than 3 are constructed from cubic curves with an isolated double point. 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