{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:PCV44LXWRSEXC6IOG5JGQUGTVA","short_pith_number":"pith:PCV44LXW","schema_version":"1.0","canonical_sha256":"78abce2ef68c8971790e37526850d3a81bf933a38635c3411d3be8107d3054ff","source":{"kind":"arxiv","id":"1803.05017","version":1},"attestation_state":"computed","paper":{"title":"On Computing Jacobi's Elliptic Function \\texttt{sn}","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"math.CA","authors_text":"Ernest Scheiber","submitted_at":"2018-03-09T09:57:13Z","abstract_excerpt":"The paper presents a method to compute the Jacobi's elliptic function \\texttt{sn} on the period parallelogram. For fixed $m$ it requires first to compute the complete elliptic integrals $K=K(m)$ and $K'=K(1-m).$ The Newton method is used to compute sn(z,m), when $z\\in [0,K]\\cup[0,i K').$ The computation in any other point does not require the usage of any numerical procedure, it is done only with the help of the properties of sn."},"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":"1803.05017","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-03-09T09:57:13Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"a35f3245c418ab7bf2cca8ce1c5170a6d8b2fc986b82a3d020d67286350fca87","abstract_canon_sha256":"ab83a1a5a8111f53fb22b3be9cd8723d8701ab67040d1a3e648b36c57cae5a4d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:02.287640Z","signature_b64":"dEmm4roBCrUMaVsmb4/Pd0//qHdwnMSGadXROLZ0iCyOp+GKpGxNsFSj+jweEHFVB0rjPUWztB2kf0O9rknUDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78abce2ef68c8971790e37526850d3a81bf933a38635c3411d3be8107d3054ff","last_reissued_at":"2026-05-18T00:21:02.287262Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:02.287262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Computing Jacobi's Elliptic Function \\texttt{sn}","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"math.CA","authors_text":"Ernest Scheiber","submitted_at":"2018-03-09T09:57:13Z","abstract_excerpt":"The paper presents a method to compute the Jacobi's elliptic function \\texttt{sn} on the period parallelogram. For fixed $m$ it requires first to compute the complete elliptic integrals $K=K(m)$ and $K'=K(1-m).$ The Newton method is used to compute sn(z,m), when $z\\in [0,K]\\cup[0,i K').$ The computation in any other point does not require the usage of any numerical procedure, it is done only with the help of the properties of sn."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05017","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":"1803.05017","created_at":"2026-05-18T00:21:02.287311+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.05017v1","created_at":"2026-05-18T00:21:02.287311+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05017","created_at":"2026-05-18T00:21:02.287311+00:00"},{"alias_kind":"pith_short_12","alias_value":"PCV44LXWRSEX","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_16","alias_value":"PCV44LXWRSEXC6IO","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_8","alias_value":"PCV44LXW","created_at":"2026-05-18T12:32:43.782077+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/PCV44LXWRSEXC6IOG5JGQUGTVA","json":"https://pith.science/pith/PCV44LXWRSEXC6IOG5JGQUGTVA.json","graph_json":"https://pith.science/api/pith-number/PCV44LXWRSEXC6IOG5JGQUGTVA/graph.json","events_json":"https://pith.science/api/pith-number/PCV44LXWRSEXC6IOG5JGQUGTVA/events.json","paper":"https://pith.science/paper/PCV44LXW"},"agent_actions":{"view_html":"https://pith.science/pith/PCV44LXWRSEXC6IOG5JGQUGTVA","download_json":"https://pith.science/pith/PCV44LXWRSEXC6IOG5JGQUGTVA.json","view_paper":"https://pith.science/paper/PCV44LXW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.05017&json=true","fetch_graph":"https://pith.science/api/pith-number/PCV44LXWRSEXC6IOG5JGQUGTVA/graph.json","fetch_events":"https://pith.science/api/pith-number/PCV44LXWRSEXC6IOG5JGQUGTVA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PCV44LXWRSEXC6IOG5JGQUGTVA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PCV44LXWRSEXC6IOG5JGQUGTVA/action/storage_attestation","attest_author":"https://pith.science/pith/PCV44LXWRSEXC6IOG5JGQUGTVA/action/author_attestation","sign_citation":"https://pith.science/pith/PCV44LXWRSEXC6IOG5JGQUGTVA/action/citation_signature","submit_replication":"https://pith.science/pith/PCV44LXWRSEXC6IOG5JGQUGTVA/action/replication_record"}},"created_at":"2026-05-18T00:21:02.287311+00:00","updated_at":"2026-05-18T00:21:02.287311+00:00"}