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In a recent paper, Chonoles et. al. study iterated towers of number fields over $K$ generated by the generalized Rikuna polynomial, $r_n(x,t;\\ell) \\in K(t)[x]$. They note that when $K = \\mathbb{Q}$, $t \\in \\{0,1\\}$, and $\\ell=3$, the only ramified prime in the resulting tower is 3, and they ask under what conditions is the number of ramified primes small. In this paper, we apply a theorem of Gu\\`ardia, Montes, and Nart to der"},"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":"1409.7829","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-09-27T18:53:07Z","cross_cats_sorted":[],"title_canon_sha256":"f689dbdf3ddac5e5549fdef806f428b78773e6b21d1a5ef22840be2b3b782ea1","abstract_canon_sha256":"206f0c4e6a519dede537de411b9fca1135b842eb1f864defd6d1dcf38cc54c76"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:40.463942Z","signature_b64":"afTFENWR390LMqNyVk65KIykAsS0SbhQfRbTDdxj0A0Zn75NOztGMETLyJrS9H6/UuJjndmqZdCHeJe2IJd8BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcd1eea9320407a207dc15b7ef3786ffe3dffcd7df145593fc613d1d5a6ff8ff","last_reissued_at":"2026-05-18T02:41:40.463416Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:40.463416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Discriminants of simplest 3^n-tic extensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"T. 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