{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6JFQ5CGLUE6GDNH3Y6RZKFEUEX","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":"6f8223670c8fcbfaf4cb9b4c4b7f5efb6760100fcd40d5bc33ebcfb2bf9c171c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-11-25T22:58:35Z","title_canon_sha256":"b648fe63df3f6e1c04e2ad7e9e3e20908d3761d3ee857b25f690ffe02415a0f0"},"schema_version":"1.0","source":{"id":"1411.7064","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.7064","created_at":"2026-05-18T01:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"1411.7064v2","created_at":"2026-05-18T01:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7064","created_at":"2026-05-18T01:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"6JFQ5CGLUE6G","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6JFQ5CGLUE6GDNH3","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6JFQ5CGL","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:5124ed9d648a99f1c713f5121d48282ef881e27e264031762932fb4419e6444a","target":"graph","created_at":"2026-05-18T01:30:15Z","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 finite extension of Q_p with residue field F_q and let P(T) = T^d + a_{d-1}T^{d-1} + ... +a_1 T, where d is a power of q and a_i is in the maximal ideal of K for all i. Let u_0 be a uniformizer of O_K and let {u_n}_{n \\geq 0} be a sequence of elements of Q_p^alg such that P(u_{n+1}) = u_n for all n \\geq 0. Let K_infty be the field generated over K by all the u_n. If K_infty / K is a Galois extension, then it is abelian, and our main result is that it is generated by the torsion points of a relative Lubin-Tate group (a generalization of the usual Lubin-Tate groups). The proof of this","authors_text":"Laurent Berger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-11-25T22:58:35Z","title":"Iterated extensions and relative Lubin-Tate groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7064","kind":"arxiv","version":2},"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":"sha256:8e2832ea83f45788a2d4d7fd582ba39c718ef1e115ffb415670be6667367be5f","target":"record","created_at":"2026-05-18T01:30:15Z","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":"6f8223670c8fcbfaf4cb9b4c4b7f5efb6760100fcd40d5bc33ebcfb2bf9c171c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-11-25T22:58:35Z","title_canon_sha256":"b648fe63df3f6e1c04e2ad7e9e3e20908d3761d3ee857b25f690ffe02415a0f0"},"schema_version":"1.0","source":{"id":"1411.7064","kind":"arxiv","version":2}},"canonical_sha256":"f24b0e88cba13c61b4fbc7a395149425cffab13fc37aa84fb4fd92f8deac6523","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f24b0e88cba13c61b4fbc7a395149425cffab13fc37aa84fb4fd92f8deac6523","first_computed_at":"2026-05-18T01:30:15.417839Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:15.417839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Drp/sAA5jE/0JA3VcESclcv1JILRKKVZgHyBuOotlk20jGYvRRywZRyt5Joz9YeYgiOkYCqqndApg5JnNhoNCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:15.418355Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.7064","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e2832ea83f45788a2d4d7fd582ba39c718ef1e115ffb415670be6667367be5f","sha256:5124ed9d648a99f1c713f5121d48282ef881e27e264031762932fb4419e6444a"],"state_sha256":"bf01d38e5840d74356315fae0952c6d8af49b8681bb0cddb47e976dd387a3691"}