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Recently, Fortin-Jacob-Mathieu and Hirschhorn-Sellers independently obtained 2-, 3- and 4-dissections of the generating function for $\\overline{p}(n)$ and derived a number of congruences for $\\overline{p}(n)$ modulo $4$, $8$ and $64$ including $\\overline{p}(5n+2)\\equiv 0 \\pmod{4}$, $\\overline{p}(4n+3)\\equiv 0 \\pmod{8}$ and $\\overline{p}(8n+7)\\equiv 0 \\pmod{64}$. By employing dissection techniques, Yao and Xia obtained congruences for $\\overline{p}(n)$ modulo $8, 16$ and $32$, such as $\\overline{p}(48n+26) \\equiv 0 \\pmod{8}$, $\\o"},"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":"1408.1597","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-08-07T14:03:56Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"812ba76a571d0d17616f1a75b2f6155643685ea71965826102eedb4c183a1cec","abstract_canon_sha256":"a19084c544104237993b4ccdd533b5e996b544d767daa28ea84468186bee1930"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:40.110746Z","signature_b64":"A6osjMZU2u3mNevE8bwoH4YQ4Vbg9K+75zjvEJIf6TL7ii+n+tFGb6D77jQMPBMt/QZsGqLrISKXIWHNZZnHBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fe7f501c7e00d96bf72ce87a3a5d736b3f904ae0b039e99c6a384e192456a2a","last_reissued_at":"2026-05-18T02:45:40.110032Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:40.110032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ramanujan-type Congruences for Overpartitions Modulo 16","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.CO","authors_text":"Lisa H. Sun, Li Zhang, Qing-Hu Hou, William Y.C. Chen","submitted_at":"2014-08-07T14:03:56Z","abstract_excerpt":"Let $\\overline{p}(n)$ denote the number of overpartitions of $n$. Recently, Fortin-Jacob-Mathieu and Hirschhorn-Sellers independently obtained 2-, 3- and 4-dissections of the generating function for $\\overline{p}(n)$ and derived a number of congruences for $\\overline{p}(n)$ modulo $4$, $8$ and $64$ including $\\overline{p}(5n+2)\\equiv 0 \\pmod{4}$, $\\overline{p}(4n+3)\\equiv 0 \\pmod{8}$ and $\\overline{p}(8n+7)\\equiv 0 \\pmod{64}$. 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