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In this paper, we investigate the question whether all non-cyclic finite abelian groups $G$ share with the following property: There exists at least one integer $t\\in [\\exp(G)+1,\\eta(G)-1]$ such that every zero-sum sequence of length exactly $t$ contains a zero-sum subsequence of length in $[1,\\exp(G)]$. Previous results showed that the groups $C_n^2$ ($n\\geq 3$) and $C_3^3$ have the prope"},"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":"1108.2866","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2011-08-14T12:47:41Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"9b5d684ce00f39243a9fdd6cf59ee6c33f41dadd88066b97855c651d01c91c9b","abstract_canon_sha256":"6b39140db154b5b784bc8842755e9cebc5e12aa55a48e9b2298f653c54887ec5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:29.039569Z","signature_b64":"oho6SXHZ1NcPNG10fg6siE0uwF9oJcsUF+yRLewS2kYSlWKdKAwG/7Hnbjhtp8OZ5Pfv7yj/egtESZ8K6RBGCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f24632a58daf667c9c3dd020e5cc7f6bb52391bee7c61fa97fbf6092a1731f0","last_reissued_at":"2026-05-18T04:15:29.039100Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:29.039100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On short zero-sum subsequences of zero-sum sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.NT","authors_text":"Guoqing Wang, Jujuan Zhuang, Qinghai Zhong, Weidong Gao, Yushuang Fan","submitted_at":"2011-08-14T12:47:41Z","abstract_excerpt":"Let $G$ be a finite abelian group, and let $\\eta(G)$ be the smallest integer $d$ such that every sequence over $G$ of length at least $d$ contains a zero-sum subsequence $T$ with length $|T|\\in [1,\\exp(G)]$. 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