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Let $J$ be the Jacobian of the hyperelliptic curve defined over $K$ which is given by the equation $y^{2} = \\prod_{i = 1}^{5} (x - \\alpha_{i})$. We define a tower of field extensions $K = K_{0}' \\subset K_{1}' \\subset K_{2}' \\subset ...$ by giving recursive formulas for the generators of each $K_{n}'$ over $K_{n - 1}'"},"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":"1410.8110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-10-29T19:31:11Z","cross_cats_sorted":[],"title_canon_sha256":"db28752a9951d428d8fbaa8f647868f666a9ed0c6a4583b4c1415c6dca1a8ac2","abstract_canon_sha256":"010c8a2c8e5e754ca30c7fb62e5bc5c2782f248054da8dfc211e637c5ab31ad6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:01.655074Z","signature_b64":"4A3aEcihzDVXnLELOaGkbMcDPemjyMXGUqz/GmUvk3OOtHifNNrnpiKeOkuuXGTY/Zx5Em24d6MX3m98ZMmTDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c414dcf39130ef97d306aa05da9c46e7910f8d191b63b509e97afbbfa7106fe","last_reissued_at":"2026-05-18T02:39:01.654480Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:01.654480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dyadic torsion of 2-dimensional hyperelliptic Jacobians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jeffrey Yelton","submitted_at":"2014-10-29T19:31:11Z","abstract_excerpt":"Let $k$ be a field of characteristic $0$, and let $\\alpha_{1}$, $\\alpha_{2}$, ..., $\\alpha_{5}$ be algebraically independent and transcendental over $k$. 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We define a tower of field extensions $K = K_{0}' \\subset K_{1}' \\subset K_{2}' \\subset ...$ by giving recursive formulas for the generators of each $K_{n}'$ over $K_{n - 1}'"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8110","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":"1410.8110","created_at":"2026-05-18T02:39:01.654573+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.8110v1","created_at":"2026-05-18T02:39:01.654573+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8110","created_at":"2026-05-18T02:39:01.654573+00:00"},{"alias_kind":"pith_short_12","alias_value":"HRAU3TZZCMHP","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HRAU3TZZCMHPS7JQ","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HRAU3TZZ","created_at":"2026-05-18T12:28:30.664211+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/HRAU3TZZCMHPS7JQNKQF3KOENZ","json":"https://pith.science/pith/HRAU3TZZCMHPS7JQNKQF3KOENZ.json","graph_json":"https://pith.science/api/pith-number/HRAU3TZZCMHPS7JQNKQF3KOENZ/graph.json","events_json":"https://pith.science/api/pith-number/HRAU3TZZCMHPS7JQNKQF3KOENZ/events.json","paper":"https://pith.science/paper/HRAU3TZZ"},"agent_actions":{"view_html":"https://pith.science/pith/HRAU3TZZCMHPS7JQNKQF3KOENZ","download_json":"https://pith.science/pith/HRAU3TZZCMHPS7JQNKQF3KOENZ.json","view_paper":"https://pith.science/paper/HRAU3TZZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.8110&json=true","fetch_graph":"https://pith.science/api/pith-number/HRAU3TZZCMHPS7JQNKQF3KOENZ/graph.json","fetch_events":"https://pith.science/api/pith-number/HRAU3TZZCMHPS7JQNKQF3KOENZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HRAU3TZZCMHPS7JQNKQF3KOENZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HRAU3TZZCMHPS7JQNKQF3KOENZ/action/storage_attestation","attest_author":"https://pith.science/pith/HRAU3TZZCMHPS7JQNKQF3KOENZ/action/author_attestation","sign_citation":"https://pith.science/pith/HRAU3TZZCMHPS7JQNKQF3KOENZ/action/citation_signature","submit_replication":"https://pith.science/pith/HRAU3TZZCMHPS7JQNKQF3KOENZ/action/replication_record"}},"created_at":"2026-05-18T02:39:01.654573+00:00","updated_at":"2026-05-18T02:39:01.654573+00:00"}