{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MNOKH7KQW776AMY3NACCSDTRLO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2b7e4ad90be36cb51ad9267093bf4f9e379bcd0f7a62a201d3ab13f5817671b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-04-08T03:52:28Z","title_canon_sha256":"902870f9fc2f785498554cdd4fa3bbf6806a93a872fee19c29b8146df9bea360"},"schema_version":"1.0","source":{"id":"1304.2095","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2095","created_at":"2026-05-18T02:55:39Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2095v3","created_at":"2026-05-18T02:55:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2095","created_at":"2026-05-18T02:55:39Z"},{"alias_kind":"pith_short_12","alias_value":"MNOKH7KQW776","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MNOKH7KQW776AMY3","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MNOKH7KQ","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:3db50e677423fd721824c5a2fd442b51efa79ca41abc54a455eccf4c6be7598d","target":"graph","created_at":"2026-05-18T02:55:39Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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)). In this paper, we study G_s-equivatiantness properties of G_{\\infty}-equivariant homomorphisms between torsion (potentially) crystalline representations","authors_text":"Yoshiyasu Ozeki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-04-08T03:52:28Z","title":"On Galois equivariance of homomorphisms between torsion potentially crystalline representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2095","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:822ad1484a396183b7d16ec90657a1934caeb565319eac21884a41d9ae9fa7a9","target":"record","created_at":"2026-05-18T02:55:39Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2b7e4ad90be36cb51ad9267093bf4f9e379bcd0f7a62a201d3ab13f5817671b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-04-08T03:52:28Z","title_canon_sha256":"902870f9fc2f785498554cdd4fa3bbf6806a93a872fee19c29b8146df9bea360"},"schema_version":"1.0","source":{"id":"1304.2095","kind":"arxiv","version":3}},"canonical_sha256":"635ca3fd50b7ffe0331b6804290e715badbd45553d0d116a1ab03063b3040db5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"635ca3fd50b7ffe0331b6804290e715badbd45553d0d116a1ab03063b3040db5","first_computed_at":"2026-05-18T02:55:39.234514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:39.234514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h8EaHndcUQjBaif+k9DoXG5Snuve0SMNIOwLbSwBhD5yfuGFvWnYJslCaQPlluPtRYz2NYDv8Qr/7qsKZCwaDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:39.235191Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.2095","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:822ad1484a396183b7d16ec90657a1934caeb565319eac21884a41d9ae9fa7a9","sha256:3db50e677423fd721824c5a2fd442b51efa79ca41abc54a455eccf4c6be7598d"],"state_sha256":"125835b883e615f11c9d225ea6ddb4e9b661af7793e3259651f6a58b9cc4a1a1"}