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If there exist infinitely many $\\l\\in\\Kbar$ such that both $\\bfa(\\l)$ and $\\bfb(\\l)$ are torsion points for $\\Phi^\\l$, then we show that for each $\\l\\in\\Kbar$, we have that $\\bfa(\\l)$ is torsion for $\\Phi^\\l$ if and only if $\\bfb(\\l)$ is torsion for $\\Phi^\\l$. In the case $\\bfa,\\bfb\\in K$, then we prove in addition that $\\bfa$ and $\\bfb$ must be $\\Fpbar$-linearly depend"},"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":"1206.7047","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-06-29T15:07:58Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"361c8b3a8443d0f8e07ec1704df703c670ad0fc5f70bbed1e837f4abc879739b","abstract_canon_sha256":"3fa3ac6a03185cff9312feed22c38ac76c82d80deacab69a1c0612a77d2c3a7e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:13.131101Z","signature_b64":"8KLnmXASOHlkfz4jVrZ0MwXnsI97V3Js2xzTkLVB1UovZ8kzbzpUFEeKM2wij1XQ/fu08R9uYhcehWer5UGmDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2efbd15cca23a67e3294d1f0178792aedc8a58db77bb58a3b7e115a4743ceab0","last_reissued_at":"2026-05-18T03:52:13.130117Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:13.130117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Torsion points in families of Drinfeld modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.NT","authors_text":"Dragos Ghioca, Liang-Chung Hsia","submitted_at":"2012-06-29T15:07:58Z","abstract_excerpt":"Let $\\Phi^\\l$ be an algebraic family of Drinfeld modules defined over a field $K$ of characteristic $p$, and let $\\bfa,\\bfb\\in K[\\l]$. 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