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Let $P\\in A(K)$ be such that $\\phi(P)=(Q_1,\\dots, Q_m)$ with $\\text{Rank}_\\mathbb{Z}(\\langle Q_1,\\dots, Q_m\\rangle)=1$. We will study a divisibility sequence related to the point $P$ and show its relation with elliptic divisibility sequences."},"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":"2309.09699","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2023-09-18T12:05:16Z","cross_cats_sorted":[],"title_canon_sha256":"1e1f608ed456d9c7bc8c9ac6f843e210b973c171deea4af9e8e089f9bc30b5b3","abstract_canon_sha256":"56b21888dd8a7ce17bb72fd7b85d3ae51a9f50d465d1cd337c643169effa5102"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:02:32.304393Z","signature_b64":"DGDDZwPwQxzfoCmL+Q6FHOLrgHrbMZ/WbA77FmO3BbRq+RoDxF/hCKeC7D9/cVgtu8sMqbfH1APcH274DsIZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eae388b998c1a8cea51c777442d5ca8e35bb9357d4643b56c8798feac7ebb904","last_reissued_at":"2026-07-05T12:02:32.303882Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:02:32.303882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Bartosz Naskr\\k{e}cki, Matteo Verzobio, Stefan Bara\\'nczuk","submitted_at":"2023-09-18T12:05:16Z","abstract_excerpt":"Let $A$ be an abelian variety defined over a number field $K$, $E/K$ be an elliptic curve, and $\\phi:A\\to E^m$ be an isogeny defined over $K$. Let $P\\in A(K)$ be such that $\\phi(P)=(Q_1,\\dots, Q_m)$ with $\\text{Rank}_\\mathbb{Z}(\\langle Q_1,\\dots, Q_m\\rangle)=1$. 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