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Let (\\pi_n)_{n\\ge 0} be a system of p-power roots of a uniformizer \\pi=\\pi_0 of K with \\pi^p_{n+1}=\\pi_n, and define G_s (resp.\\ G_{\\infty}) the absolute Galois group of K(\\pi_s) (resp.\\ K_{\\infty}:=\\bigcup_{n\\ge 0} K(\\pi_n)). In this paper, we study G_s-equivatiantness properties of G_{\\infty}-equivariant homomorphisms between torsion (potentially) crystalline representations"},"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":"1304.2095","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-04-08T03:52:28Z","cross_cats_sorted":[],"title_canon_sha256":"902870f9fc2f785498554cdd4fa3bbf6806a93a872fee19c29b8146df9bea360","abstract_canon_sha256":"2b7e4ad90be36cb51ad9267093bf4f9e379bcd0f7a62a201d3ab13f5817671b9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:39.235191Z","signature_b64":"h8EaHndcUQjBaif+k9DoXG5Snuve0SMNIOwLbSwBhD5yfuGFvWnYJslCaQPlluPtRYz2NYDv8Qr/7qsKZCwaDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"635ca3fd50b7ffe0331b6804290e715badbd45553d0d116a1ab03063b3040db5","last_reissued_at":"2026-05-18T02:55:39.234514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:39.234514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Galois equivariance of homomorphisms between torsion potentially crystalline representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Yoshiyasu Ozeki","submitted_at":"2013-04-08T03:52:28Z","abstract_excerpt":"Let K be a complete discrete valuation field of mixed characteristic (0,p) with perfect residue field. Let (\\pi_n)_{n\\ge 0} be a system of p-power roots of a uniformizer \\pi=\\pi_0 of K with \\pi^p_{n+1}=\\pi_n, and define G_s (resp.\\ G_{\\infty}) the absolute Galois group of K(\\pi_s) (resp.\\ K_{\\infty}:=\\bigcup_{n\\ge 0} K(\\pi_n)). 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