{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:4LVKPNOX33HXSDA3CG4D7LZVEW","short_pith_number":"pith:4LVKPNOX","schema_version":"1.0","canonical_sha256":"e2eaa7b5d7decf790c1b11b83faf35259554952a7522b91e777b3083c17f07fe","source":{"kind":"arxiv","id":"1409.0481","version":3},"attestation_state":"computed","paper":{"title":"Computing functions on Jacobians and their quotients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Jean-Marc Couveignes, Tony Ezome","submitted_at":"2014-09-01T17:10:48Z","abstract_excerpt":"We show how to efficiently compute functions on jacobian varieties and their quotients. We deduce a quasi-optimal algorithm to compute $(l,l)$ isogenies between jacobians of genus two curves."},"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":"1409.0481","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-09-01T17:10:48Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"df5f66f0a7b00ca432d50d2c5b36513d5daa9583fd6522a482489cd69864f2b5","abstract_canon_sha256":"42c6e822b4c46b776cd395001dec379e985f973ead41e04f71e656dfbdb17096"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:36.059848Z","signature_b64":"J5Nm5Vgw9ubwEs4+JYmeDPnnb69fNG0b+FZEt1JxopLp1zsnYbckNYHZKz2qJoSvdJBtYlh5slDmikhcwS/HDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2eaa7b5d7decf790c1b11b83faf35259554952a7522b91e777b3083c17f07fe","last_reissued_at":"2026-05-18T02:19:36.059249Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:36.059249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Computing functions on Jacobians and their quotients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Jean-Marc Couveignes, Tony Ezome","submitted_at":"2014-09-01T17:10:48Z","abstract_excerpt":"We show how to efficiently compute functions on jacobian varieties and their quotients. We deduce a quasi-optimal algorithm to compute $(l,l)$ isogenies between jacobians of genus two curves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0481","kind":"arxiv","version":3},"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":"1409.0481","created_at":"2026-05-18T02:19:36.059336+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.0481v3","created_at":"2026-05-18T02:19:36.059336+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0481","created_at":"2026-05-18T02:19:36.059336+00:00"},{"alias_kind":"pith_short_12","alias_value":"4LVKPNOX33HX","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"4LVKPNOX33HXSDA3","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"4LVKPNOX","created_at":"2026-05-18T12:28:14.216126+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/4LVKPNOX33HXSDA3CG4D7LZVEW","json":"https://pith.science/pith/4LVKPNOX33HXSDA3CG4D7LZVEW.json","graph_json":"https://pith.science/api/pith-number/4LVKPNOX33HXSDA3CG4D7LZVEW/graph.json","events_json":"https://pith.science/api/pith-number/4LVKPNOX33HXSDA3CG4D7LZVEW/events.json","paper":"https://pith.science/paper/4LVKPNOX"},"agent_actions":{"view_html":"https://pith.science/pith/4LVKPNOX33HXSDA3CG4D7LZVEW","download_json":"https://pith.science/pith/4LVKPNOX33HXSDA3CG4D7LZVEW.json","view_paper":"https://pith.science/paper/4LVKPNOX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.0481&json=true","fetch_graph":"https://pith.science/api/pith-number/4LVKPNOX33HXSDA3CG4D7LZVEW/graph.json","fetch_events":"https://pith.science/api/pith-number/4LVKPNOX33HXSDA3CG4D7LZVEW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4LVKPNOX33HXSDA3CG4D7LZVEW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4LVKPNOX33HXSDA3CG4D7LZVEW/action/storage_attestation","attest_author":"https://pith.science/pith/4LVKPNOX33HXSDA3CG4D7LZVEW/action/author_attestation","sign_citation":"https://pith.science/pith/4LVKPNOX33HXSDA3CG4D7LZVEW/action/citation_signature","submit_replication":"https://pith.science/pith/4LVKPNOX33HXSDA3CG4D7LZVEW/action/replication_record"}},"created_at":"2026-05-18T02:19:36.059336+00:00","updated_at":"2026-05-18T02:19:36.059336+00:00"}