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In particular, (F_n)^{hG_n} \\simeq L_{K(n)}(S^0). More generally, for any closed subgroup H of G_n, there is a discrete H-spectrum Z_{n, H}, such that (Z_{n, H})^{hH} \\simeq E_n^{hH}. These conclusions are obtained from results about consistent k-local profinite G-Galois extensions E of finite vcd, where L_k(-) is L_M(L_T(-)), with M a finite "},"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":"1006.3288","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2010-06-16T18:21:42Z","cross_cats_sorted":[],"title_canon_sha256":"cdf07fb3e66c6250a5a73c19418bb5dc88bbbdde7aaa588b9498e389e1ad6ea6","abstract_canon_sha256":"1a38ea654a49c3e6bf25bb2f921a03b43e8b936767e418d62a5516c373f4bc6c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:43.803166Z","signature_b64":"MH/11VBJxnp5qZUQPiL0iTnBXljUmedE71QvqTC+iin9hO0Pv500+5eBD4EI1xDPu0jEv/vKenyTzgNTLAA5AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac2e0cca3229f0df15e82236801feed93caaf26947169d5d1aa4fa2db0d88124","last_reissued_at":"2026-05-18T04:41:43.802745Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:43.802745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Obtaining intermediate rings of a local profinite Galois extension without localization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Daniel G. Davis","submitted_at":"2010-06-16T18:21:42Z","abstract_excerpt":"Let E_n be the Lubin-Tate spectrum and let G_n be the nth extended Morava stabilizer group. Then there is a discrete G_n-spectrum F_n, with L_{K(n)}(F_n) \\simeq E_n, that has the property that (F_n)^{hU} \\simeq E_n^{hU}, for every open subgroup U of G_n. In particular, (F_n)^{hG_n} \\simeq L_{K(n)}(S^0). More generally, for any closed subgroup H of G_n, there is a discrete H-spectrum Z_{n, H}, such that (Z_{n, H})^{hH} \\simeq E_n^{hH}. These conclusions are obtained from results about consistent k-local profinite G-Galois extensions E of finite vcd, where L_k(-) is L_M(L_T(-)), with M a finite "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3288","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1006.3288","created_at":"2026-05-18T04:41:43.802807+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.3288v2","created_at":"2026-05-18T04:41:43.802807+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3288","created_at":"2026-05-18T04:41:43.802807+00:00"},{"alias_kind":"pith_short_12","alias_value":"VQXAZSRSFHYN","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"VQXAZSRSFHYN6FPI","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"VQXAZSRS","created_at":"2026-05-18T12:26:15.391820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VQXAZSRSFHYN6FPIEI3IAH7O3E","json":"https://pith.science/pith/VQXAZSRSFHYN6FPIEI3IAH7O3E.json","graph_json":"https://pith.science/api/pith-number/VQXAZSRSFHYN6FPIEI3IAH7O3E/graph.json","events_json":"https://pith.science/api/pith-number/VQXAZSRSFHYN6FPIEI3IAH7O3E/events.json","paper":"https://pith.science/paper/VQXAZSRS"},"agent_actions":{"view_html":"https://pith.science/pith/VQXAZSRSFHYN6FPIEI3IAH7O3E","download_json":"https://pith.science/pith/VQXAZSRSFHYN6FPIEI3IAH7O3E.json","view_paper":"https://pith.science/paper/VQXAZSRS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.3288&json=true","fetch_graph":"https://pith.science/api/pith-number/VQXAZSRSFHYN6FPIEI3IAH7O3E/graph.json","fetch_events":"https://pith.science/api/pith-number/VQXAZSRSFHYN6FPIEI3IAH7O3E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VQXAZSRSFHYN6FPIEI3IAH7O3E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VQXAZSRSFHYN6FPIEI3IAH7O3E/action/storage_attestation","attest_author":"https://pith.science/pith/VQXAZSRSFHYN6FPIEI3IAH7O3E/action/author_attestation","sign_citation":"https://pith.science/pith/VQXAZSRSFHYN6FPIEI3IAH7O3E/action/citation_signature","submit_replication":"https://pith.science/pith/VQXAZSRSFHYN6FPIEI3IAH7O3E/action/replication_record"}},"created_at":"2026-05-18T04:41:43.802807+00:00","updated_at":"2026-05-18T04:41:43.802807+00:00"}