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We will determine $\\mathcal{H}^i(G)$ for i=0,1,2, and 4 in the case where G is a finite p-group."},"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":"1302.1255","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-02-06T03:39:14Z","cross_cats_sorted":[],"title_canon_sha256":"d3adbcb816938ca9794df025052c025d8e989536302ae3f2805f5efd5cb99872","abstract_canon_sha256":"4ca11907d6e0f1e711bc27390bf51add8e0f7a2fb571e356c2ea24c0b0a23713"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:24.768477Z","signature_b64":"qZbnzO3L7gkaPYYEYC5xy11fbCm9Nsg9pJd+C1sYRR60MTU/gsYfSzFbLFcm/oB/+HqhXZ/dRNOS+SsVVM7rBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37884109c027ba330fb99bfe26939d3830ae0380af3bcd96d6ee2530cd2dcdca","last_reissued_at":"2026-05-18T03:34:24.768039Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:24.768039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the abelian groups which occur as Galois cohomology groups of global unit groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Manabu Ozaki","submitted_at":"2013-02-06T03:39:14Z","abstract_excerpt":"For any finite group G and integer i, let $\\mathcal{H}^i(G)$ be the set of all the isomorphism classes of the Galois cohomology groups $\\hat{H}^i(K/k,E_K)$, where K/k runs over all the unramified G-extension of number fields and E_K denotes the global unit group of K. 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