{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HTBP42ORTVNIFD7JLSGHLZVPPO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ba42cd788e4e772bb2280685fa54c84ea7c163f93fc5e55983c2b565aae62f34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-06-10T13:19:20Z","title_canon_sha256":"59553ee2c82fdbe63ca9a327f075a4296cb290c64519608acbfeb5412c08205b"},"schema_version":"1.0","source":{"id":"1806.03656","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.03656","created_at":"2026-05-18T00:09:09Z"},{"alias_kind":"arxiv_version","alias_value":"1806.03656v4","created_at":"2026-05-18T00:09:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.03656","created_at":"2026-05-18T00:09:09Z"},{"alias_kind":"pith_short_12","alias_value":"HTBP42ORTVNI","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HTBP42ORTVNIFD7J","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HTBP42OR","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:96d749a7136f1c85ac6547a3445148575636cf812372bbb4af46c9e1e68459f1","target":"graph","created_at":"2026-05-18T00:09:09Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We propose an algorithm for computing an isogeny between two elliptic curves $E_1,E_2$ defined over a finite field such that there is an imaginary quadratic order $\\mathcal{O}$ satisfying $\\mathcal{O}\\simeq \\operatorname{End}(E_i)$ for $i = 1,2$. This concerns ordinary curves and supersingular curves defined over $\\mathbb{F}_p$ (the latter used in the recent CSIDH proposal). Our algorithm has heuristic asymptotic run time $e^{O\\left(\\sqrt{\\log(|\\Delta|)}\\right)}$ and requires polynomial quantum memory and $e^{O\\left(\\sqrt{\\log(|\\Delta|)}\\right)}$ classical memory, where $\\Delta$ is the discrim","authors_text":"Annamaria Iezzi, Jean-Fran\\c{c}ois Biasse, Michael J. Jacobson Jr","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-06-10T13:19:20Z","title":"A note on the security of CSIDH"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.03656","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d13722a74766dac1af99eb967f2d1be99d3ac4528eec8b8e8fc7065f1d70e017","target":"record","created_at":"2026-05-18T00:09:09Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ba42cd788e4e772bb2280685fa54c84ea7c163f93fc5e55983c2b565aae62f34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2018-06-10T13:19:20Z","title_canon_sha256":"59553ee2c82fdbe63ca9a327f075a4296cb290c64519608acbfeb5412c08205b"},"schema_version":"1.0","source":{"id":"1806.03656","kind":"arxiv","version":4}},"canonical_sha256":"3cc2fe69d19d5a828fe95c8c75e6af7ba4d92f737b1e7c4e11149e06923bce0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cc2fe69d19d5a828fe95c8c75e6af7ba4d92f737b1e7c4e11149e06923bce0e","first_computed_at":"2026-05-18T00:09:09.172552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:09.172552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9njrjVWK1UhDeZuG0HYZ58mmhV6HXioTlofYxXyDNgXjud/xOCGhG1cxnLc33fpcwcjedXfLssBUGb3CEdL0Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:09.173013Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.03656","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d13722a74766dac1af99eb967f2d1be99d3ac4528eec8b8e8fc7065f1d70e017","sha256:96d749a7136f1c85ac6547a3445148575636cf812372bbb4af46c9e1e68459f1"],"state_sha256":"b3d7efd29c8910665c4bb2c3f152d7861ddb6c3510ebe685b72d4de3a5539e7c"}