{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RN4Z3FTTK4QLDIMOVDDSGTE35Z","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":"d1e2e13e93f1bdbec4c19b6e2c3e2318253d49e130c3a2f4545482d8b0f5c172","cross_cats_sorted":["cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-04-05T18:27:51Z","title_canon_sha256":"3e024ff7dcc890ad34d64748a1ec149395c4f79ee88564b43891c5e201ee1227"},"schema_version":"1.0","source":{"id":"1204.1300","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1300","created_at":"2026-05-18T03:58:26Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1300v1","created_at":"2026-05-18T03:58:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1300","created_at":"2026-05-18T03:58:26Z"},{"alias_kind":"pith_short_12","alias_value":"RN4Z3FTTK4QL","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RN4Z3FTTK4QLDIMO","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RN4Z3FTT","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:d765d6889cd3ee4ff8dd030af3549cb367e9e37fefc3b292a1d641a481c69c06","target":"graph","created_at":"2026-05-18T03:58:26Z","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 investigate improvements to the algorithm for the computation of ideal class groups described by Jacobson in the imaginary quadratic case. These improvements rely on the large prime strategy and a new method for performing the linear algebra phase. We achieve a significant speed-up and are able to compute ideal class groups with discriminants of 110 decimal digits in less than a week.","authors_text":"Jean-Fran\\c{c}ois Biasse","cross_cats":["cs.SC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-04-05T18:27:51Z","title":"Improvements in the computation of ideal class groups of imaginary quadratic number fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1300","kind":"arxiv","version":1},"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:f9260cf46e88cacc305fb664b08041420ba8bd4c0fc5c26767dd72b08f0884c9","target":"record","created_at":"2026-05-18T03:58:26Z","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":"d1e2e13e93f1bdbec4c19b6e2c3e2318253d49e130c3a2f4545482d8b0f5c172","cross_cats_sorted":["cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-04-05T18:27:51Z","title_canon_sha256":"3e024ff7dcc890ad34d64748a1ec149395c4f79ee88564b43891c5e201ee1227"},"schema_version":"1.0","source":{"id":"1204.1300","kind":"arxiv","version":1}},"canonical_sha256":"8b799d96735720b1a18ea8c7234c9bee71f8d3d7db801b036bf1b0f7d5230b9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b799d96735720b1a18ea8c7234c9bee71f8d3d7db801b036bf1b0f7d5230b9b","first_computed_at":"2026-05-18T03:58:26.964125Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:26.964125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RCW7+bYgnauxqZZw9DJZjBkaKEOBkaTiUr8qyxMUXG2iikmAxWaV/64t1zOkpTRIpB/ifIlIQNds/XJtzXfLAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:26.964692Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1300","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9260cf46e88cacc305fb664b08041420ba8bd4c0fc5c26767dd72b08f0884c9","sha256:d765d6889cd3ee4ff8dd030af3549cb367e9e37fefc3b292a1d641a481c69c06"],"state_sha256":"220cc92487de5fa1e9691cfed6ed4b40c11138b837890fb05270a3c60eec5d47"}