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We show that if p >= 7 (or p=5 and extra conditions are met) and K is totally real with K/Q ramified at p, then K is not Hilbert-Speiser of type C_p."},"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":"0806.0258","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2008-06-02T11:47:46Z","cross_cats_sorted":[],"title_canon_sha256":"0fd44cde36cd80cc4471df9c27106c5ea4c6c73637b21b97b6afb1994dc31761","abstract_canon_sha256":"2e407f2d0c1b635adf733464042d5eacf1284b262ec896e2aa7cdfe4c0eb8136"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:52.048977Z","signature_b64":"ZqyY39UyMAoWTiGBBc+mZorvGh+Il2wCBj2+qV+q0lsCn2jJkTFbHYOF+sbdgiIuJBiKACYLS2KWW9Hto7wZDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc10a89371d183d2e8f9af389b27bf12f76fd8f6f44ec8304fcdf20f10ec16d4","last_reissued_at":"2026-05-18T02:15:52.048624Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:52.048624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On totally real Hilbert-Speiser Fields of type C_p","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Cornelius Greither, Henri Johnston","submitted_at":"2008-06-02T11:47:46Z","abstract_excerpt":"Let G be a finite abelian group. 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