{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:O5Z34EIZLDVXSWPRZWVGMY7YER","short_pith_number":"pith:O5Z34EIZ","schema_version":"1.0","canonical_sha256":"7773be111958eb7959f1cdaa6663f8246ad324e0e05370f27d6c99d9292971e1","source":{"kind":"arxiv","id":"1801.02664","version":2},"attestation_state":"computed","paper":{"title":"On Division Polynomial PIT and Supersingularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"cs.SC","authors_text":"Javad Doliskani","submitted_at":"2018-01-08T20:04:23Z","abstract_excerpt":"For an elliptic curve $E$ over a finite field $\\F_q$, where $q$ is a prime power, we propose new algorithms for testing the supersingularity of $E$. Our algorithms are based on the Polynomial Identity Testing (PIT) problem for the $p$-th division polynomial of $E$. In particular, an efficient algorithm using points of high order on $E$ is given."},"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":"1801.02664","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2018-01-08T20:04:23Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"6267e51adfac92aadfa41115822defdfcfbee50cb9ffb1daaf97fe7daa4ebc75","abstract_canon_sha256":"b611521d1d002b0717b4e75d71c653e89ac33384859bd1744daf73a5234e3e44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:50.672426Z","signature_b64":"GunamgzfkasMV79rng/Zztyfv+GMqhvLGzCQDXSeUtPbymq3AoIzLKnbRMdaOvPTZNXw3P0nzWg6GCGbd+CIDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7773be111958eb7959f1cdaa6663f8246ad324e0e05370f27d6c99d9292971e1","last_reissued_at":"2026-05-18T00:25:50.671811Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:50.671811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Division Polynomial PIT and Supersingularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"cs.SC","authors_text":"Javad Doliskani","submitted_at":"2018-01-08T20:04:23Z","abstract_excerpt":"For an elliptic curve $E$ over a finite field $\\F_q$, where $q$ is a prime power, we propose new algorithms for testing the supersingularity of $E$. Our algorithms are based on the Polynomial Identity Testing (PIT) problem for the $p$-th division polynomial of $E$. In particular, an efficient algorithm using points of high order on $E$ is given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02664","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":"1801.02664","created_at":"2026-05-18T00:25:50.671903+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.02664v2","created_at":"2026-05-18T00:25:50.671903+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.02664","created_at":"2026-05-18T00:25:50.671903+00:00"},{"alias_kind":"pith_short_12","alias_value":"O5Z34EIZLDVX","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_16","alias_value":"O5Z34EIZLDVXSWPR","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_8","alias_value":"O5Z34EIZ","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/O5Z34EIZLDVXSWPRZWVGMY7YER","json":"https://pith.science/pith/O5Z34EIZLDVXSWPRZWVGMY7YER.json","graph_json":"https://pith.science/api/pith-number/O5Z34EIZLDVXSWPRZWVGMY7YER/graph.json","events_json":"https://pith.science/api/pith-number/O5Z34EIZLDVXSWPRZWVGMY7YER/events.json","paper":"https://pith.science/paper/O5Z34EIZ"},"agent_actions":{"view_html":"https://pith.science/pith/O5Z34EIZLDVXSWPRZWVGMY7YER","download_json":"https://pith.science/pith/O5Z34EIZLDVXSWPRZWVGMY7YER.json","view_paper":"https://pith.science/paper/O5Z34EIZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.02664&json=true","fetch_graph":"https://pith.science/api/pith-number/O5Z34EIZLDVXSWPRZWVGMY7YER/graph.json","fetch_events":"https://pith.science/api/pith-number/O5Z34EIZLDVXSWPRZWVGMY7YER/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O5Z34EIZLDVXSWPRZWVGMY7YER/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O5Z34EIZLDVXSWPRZWVGMY7YER/action/storage_attestation","attest_author":"https://pith.science/pith/O5Z34EIZLDVXSWPRZWVGMY7YER/action/author_attestation","sign_citation":"https://pith.science/pith/O5Z34EIZLDVXSWPRZWVGMY7YER/action/citation_signature","submit_replication":"https://pith.science/pith/O5Z34EIZLDVXSWPRZWVGMY7YER/action/replication_record"}},"created_at":"2026-05-18T00:25:50.671903+00:00","updated_at":"2026-05-18T00:25:50.671903+00:00"}