{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:IRGABFV3QZXVV7S6MWWGPWFFEI","short_pith_number":"pith:IRGABFV3","schema_version":"1.0","canonical_sha256":"444c0096bb866f5afe5e65ac67d8a5223e258532c283fb960554d16f422d706a","source":{"kind":"arxiv","id":"1806.02262","version":2},"attestation_state":"computed","paper":{"title":"Computing Zeta Functions of Cyclic Covers in Large Characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Alex J. Best, Edgar Costa, Nicholas Triantafillou, Richard Magner, Vishal Arul","submitted_at":"2018-06-06T15:56:07Z","abstract_excerpt":"We describe an algorithm to compute the zeta function of a cyclic cover of the projective line over a finite field of characteristic $p$ that runs in time $p^{1/2 + o(1)}$.\n  We confirm its practicality and effectiveness by reporting on the performance of our SageMath implementation on a range of examples.\n  The algorithm relies on Gon\\c{c}alves's generalization of Kedlaya's algorithm for cyclic covers, and Harvey's work on Kedlaya's algorithm for large characteristic."},"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":"1806.02262","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-06-06T15:56:07Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"d6d9675b1c1b57e30161a96154804881992917f6044ccf2e43c4f59a44cac014","abstract_canon_sha256":"e2c233f833b72a31b3b81cd4a342d81ccbfa7180cddf53866e51201614da8a41"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:11.380803Z","signature_b64":"d7lfEjNEqlmWUNcp/6chaaSYOYJwRMUcA0uoAKU1FQgupFBRVZMuaijskv2j/yragVB+49XzL+xZp/GbsUtCDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"444c0096bb866f5afe5e65ac67d8a5223e258532c283fb960554d16f422d706a","last_reissued_at":"2026-05-17T23:54:11.380238Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:11.380238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Computing Zeta Functions of Cyclic Covers in Large Characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Alex J. Best, Edgar Costa, Nicholas Triantafillou, Richard Magner, Vishal Arul","submitted_at":"2018-06-06T15:56:07Z","abstract_excerpt":"We describe an algorithm to compute the zeta function of a cyclic cover of the projective line over a finite field of characteristic $p$ that runs in time $p^{1/2 + o(1)}$.\n  We confirm its practicality and effectiveness by reporting on the performance of our SageMath implementation on a range of examples.\n  The algorithm relies on Gon\\c{c}alves's generalization of Kedlaya's algorithm for cyclic covers, and Harvey's work on Kedlaya's algorithm for large characteristic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.02262","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":"1806.02262","created_at":"2026-05-17T23:54:11.380368+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.02262v2","created_at":"2026-05-17T23:54:11.380368+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.02262","created_at":"2026-05-17T23:54:11.380368+00:00"},{"alias_kind":"pith_short_12","alias_value":"IRGABFV3QZXV","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"IRGABFV3QZXVV7S6","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"IRGABFV3","created_at":"2026-05-18T12:32:31.084164+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/IRGABFV3QZXVV7S6MWWGPWFFEI","json":"https://pith.science/pith/IRGABFV3QZXVV7S6MWWGPWFFEI.json","graph_json":"https://pith.science/api/pith-number/IRGABFV3QZXVV7S6MWWGPWFFEI/graph.json","events_json":"https://pith.science/api/pith-number/IRGABFV3QZXVV7S6MWWGPWFFEI/events.json","paper":"https://pith.science/paper/IRGABFV3"},"agent_actions":{"view_html":"https://pith.science/pith/IRGABFV3QZXVV7S6MWWGPWFFEI","download_json":"https://pith.science/pith/IRGABFV3QZXVV7S6MWWGPWFFEI.json","view_paper":"https://pith.science/paper/IRGABFV3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.02262&json=true","fetch_graph":"https://pith.science/api/pith-number/IRGABFV3QZXVV7S6MWWGPWFFEI/graph.json","fetch_events":"https://pith.science/api/pith-number/IRGABFV3QZXVV7S6MWWGPWFFEI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IRGABFV3QZXVV7S6MWWGPWFFEI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IRGABFV3QZXVV7S6MWWGPWFFEI/action/storage_attestation","attest_author":"https://pith.science/pith/IRGABFV3QZXVV7S6MWWGPWFFEI/action/author_attestation","sign_citation":"https://pith.science/pith/IRGABFV3QZXVV7S6MWWGPWFFEI/action/citation_signature","submit_replication":"https://pith.science/pith/IRGABFV3QZXVV7S6MWWGPWFFEI/action/replication_record"}},"created_at":"2026-05-17T23:54:11.380368+00:00","updated_at":"2026-05-17T23:54:11.380368+00:00"}