{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MNFZR6WTOE57KS7NAJZ357SHXJ","short_pith_number":"pith:MNFZR6WT","schema_version":"1.0","canonical_sha256":"634b98fad3713bf54bed0273befe47ba75e89a6963ccdef8ebd2b8c03df4a67c","source":{"kind":"arxiv","id":"1409.7029","version":2},"attestation_state":"computed","paper":{"title":"Low-dimensional factors of superelliptic Jacobians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Douglas Ulmer, Thomas Occhipinti","submitted_at":"2014-09-24T17:52:59Z","abstract_excerpt":"Given a polynomial $f\\in\\mathbb{C}[x]$, we consider the family of superelliptic curves $y^d=f(x)$ and their Jacobians $J_d$ for varying integers $d$. We show that for any integer $g$ the number of abelian varieties up to isogeny of dimension $\\le g$ which appear in any $J_d$ is finite and their multiplicities are bounded."},"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":"1409.7029","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-24T17:52:59Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"88546034691b259246e45321196eb06f795587ec0a5be349f79e34e3470a5355","abstract_canon_sha256":"a8fe6aaa801b486072ce04e39646374e0f06290edc8773427c7c50d1aa07c237"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:17.207936Z","signature_b64":"CgH8Xd4IaByvJa2M5cvlCL4Xl3wlsg1lyXDLU8F5DsjA0ACg81baQTHJJjHkMLWV/kdQrKBwTJ507QnkZFiGBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"634b98fad3713bf54bed0273befe47ba75e89a6963ccdef8ebd2b8c03df4a67c","last_reissued_at":"2026-05-18T02:39:17.207395Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:17.207395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Low-dimensional factors of superelliptic Jacobians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Douglas Ulmer, Thomas Occhipinti","submitted_at":"2014-09-24T17:52:59Z","abstract_excerpt":"Given a polynomial $f\\in\\mathbb{C}[x]$, we consider the family of superelliptic curves $y^d=f(x)$ and their Jacobians $J_d$ for varying integers $d$. We show that for any integer $g$ the number of abelian varieties up to isogeny of dimension $\\le g$ which appear in any $J_d$ is finite and their multiplicities are bounded."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7029","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":"1409.7029","created_at":"2026-05-18T02:39:17.207461+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.7029v2","created_at":"2026-05-18T02:39:17.207461+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7029","created_at":"2026-05-18T02:39:17.207461+00:00"},{"alias_kind":"pith_short_12","alias_value":"MNFZR6WTOE57","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MNFZR6WTOE57KS7N","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MNFZR6WT","created_at":"2026-05-18T12:28:38.356838+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/MNFZR6WTOE57KS7NAJZ357SHXJ","json":"https://pith.science/pith/MNFZR6WTOE57KS7NAJZ357SHXJ.json","graph_json":"https://pith.science/api/pith-number/MNFZR6WTOE57KS7NAJZ357SHXJ/graph.json","events_json":"https://pith.science/api/pith-number/MNFZR6WTOE57KS7NAJZ357SHXJ/events.json","paper":"https://pith.science/paper/MNFZR6WT"},"agent_actions":{"view_html":"https://pith.science/pith/MNFZR6WTOE57KS7NAJZ357SHXJ","download_json":"https://pith.science/pith/MNFZR6WTOE57KS7NAJZ357SHXJ.json","view_paper":"https://pith.science/paper/MNFZR6WT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.7029&json=true","fetch_graph":"https://pith.science/api/pith-number/MNFZR6WTOE57KS7NAJZ357SHXJ/graph.json","fetch_events":"https://pith.science/api/pith-number/MNFZR6WTOE57KS7NAJZ357SHXJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MNFZR6WTOE57KS7NAJZ357SHXJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MNFZR6WTOE57KS7NAJZ357SHXJ/action/storage_attestation","attest_author":"https://pith.science/pith/MNFZR6WTOE57KS7NAJZ357SHXJ/action/author_attestation","sign_citation":"https://pith.science/pith/MNFZR6WTOE57KS7NAJZ357SHXJ/action/citation_signature","submit_replication":"https://pith.science/pith/MNFZR6WTOE57KS7NAJZ357SHXJ/action/replication_record"}},"created_at":"2026-05-18T02:39:17.207461+00:00","updated_at":"2026-05-18T02:39:17.207461+00:00"}