{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:OD2QJQJQP5SEWFTH7N245SUMC4","short_pith_number":"pith:OD2QJQJQ","schema_version":"1.0","canonical_sha256":"70f504c1307f644b1667fb75ceca8c172e1bc57e76143635bfd685b0628b58f6","source":{"kind":"arxiv","id":"1202.4732","version":1},"attestation_state":"computed","paper":{"title":"Kummer Theory for Drinfeld Modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Richard Pink","submitted_at":"2012-02-21T19:21:25Z","abstract_excerpt":"Let {\\phi} be a Drinfeld A-module of characteristic p0 over a finitely generated field K. Previous articles determined the image of the absolute Galois group of K up to commensurability in its action on all prime-to-p0 torsion points of {\\phi}, or equivalently, on the prime-to-p0 adelic Tate module of {\\phi}. In this article we consider in addition a finitely generated torsion free A-submodule M of K for the action of A through {\\phi}. We determine the image of the absolute Galois group of K up to commensurability in its action on the prime-to-p0 division hull of M, or equivalently, on the ext"},"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":"1202.4732","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-02-21T19:21:25Z","cross_cats_sorted":[],"title_canon_sha256":"6a6ae842c186cd3f041839131971e2c31a492b5d9c8caeef273c6f7da7e306d3","abstract_canon_sha256":"6394e78a3b82908559d001aef1e5a8469d97e57904410c37fcff5e84f5a8fab0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:10.493324Z","signature_b64":"qpa/TS0w+8mJbRI8MXu8XE1dm6vtKVWFdX6DHashqvpvbusq5IltA1fqQLu+Aw14qcvfP7xoy3kcKNsob6otBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70f504c1307f644b1667fb75ceca8c172e1bc57e76143635bfd685b0628b58f6","last_reissued_at":"2026-05-18T01:18:10.492893Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:10.492893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kummer Theory for Drinfeld Modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Richard Pink","submitted_at":"2012-02-21T19:21:25Z","abstract_excerpt":"Let {\\phi} be a Drinfeld A-module of characteristic p0 over a finitely generated field K. Previous articles determined the image of the absolute Galois group of K up to commensurability in its action on all prime-to-p0 torsion points of {\\phi}, or equivalently, on the prime-to-p0 adelic Tate module of {\\phi}. In this article we consider in addition a finitely generated torsion free A-submodule M of K for the action of A through {\\phi}. We determine the image of the absolute Galois group of K up to commensurability in its action on the prime-to-p0 division hull of M, or equivalently, on the ext"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4732","kind":"arxiv","version":1},"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":"1202.4732","created_at":"2026-05-18T01:18:10.492955+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.4732v1","created_at":"2026-05-18T01:18:10.492955+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4732","created_at":"2026-05-18T01:18:10.492955+00:00"},{"alias_kind":"pith_short_12","alias_value":"OD2QJQJQP5SE","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"OD2QJQJQP5SEWFTH","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"OD2QJQJQ","created_at":"2026-05-18T12:27:16.716162+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/OD2QJQJQP5SEWFTH7N245SUMC4","json":"https://pith.science/pith/OD2QJQJQP5SEWFTH7N245SUMC4.json","graph_json":"https://pith.science/api/pith-number/OD2QJQJQP5SEWFTH7N245SUMC4/graph.json","events_json":"https://pith.science/api/pith-number/OD2QJQJQP5SEWFTH7N245SUMC4/events.json","paper":"https://pith.science/paper/OD2QJQJQ"},"agent_actions":{"view_html":"https://pith.science/pith/OD2QJQJQP5SEWFTH7N245SUMC4","download_json":"https://pith.science/pith/OD2QJQJQP5SEWFTH7N245SUMC4.json","view_paper":"https://pith.science/paper/OD2QJQJQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.4732&json=true","fetch_graph":"https://pith.science/api/pith-number/OD2QJQJQP5SEWFTH7N245SUMC4/graph.json","fetch_events":"https://pith.science/api/pith-number/OD2QJQJQP5SEWFTH7N245SUMC4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OD2QJQJQP5SEWFTH7N245SUMC4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OD2QJQJQP5SEWFTH7N245SUMC4/action/storage_attestation","attest_author":"https://pith.science/pith/OD2QJQJQP5SEWFTH7N245SUMC4/action/author_attestation","sign_citation":"https://pith.science/pith/OD2QJQJQP5SEWFTH7N245SUMC4/action/citation_signature","submit_replication":"https://pith.science/pith/OD2QJQJQP5SEWFTH7N245SUMC4/action/replication_record"}},"created_at":"2026-05-18T01:18:10.492955+00:00","updated_at":"2026-05-18T01:18:10.492955+00:00"}