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We compute all $D$ with $|D|\\leq 3.1\\cdot 10^{20}$ such that $E(D)\\leq 8$."},"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":"1803.02056","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-06T08:16:17Z","cross_cats_sorted":[],"title_canon_sha256":"ca103910cc9d4ddf5d9dade7fd5c1c4b2b12aee755032d68003ea9a88e10ccd2","abstract_canon_sha256":"7aa4a885baf800652a89b42916a79950fe673b7ee81cea45c18b96d7f30e18d3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:55.919747Z","signature_b64":"tSA0i6xiIh+QplOvXPkr23f+LpE7XFJjKfhMIBNHZ/YHgGklyyrpLS1EtVrtzPpk7B+47PwSmmdmwBZ5Sf3zBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"257c0e0c3995ebb9545bb7f88f410232c5a3bddacf30cc6efb2958008f697111","last_reissued_at":"2026-05-18T00:21:55.919085Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:55.919085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Imaginary quadratic number fields with class groups of small exponent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Andreas-Stephan Elsenhans, Florin Nicolae, J\\\"urgen Kl\\\"uners","submitted_at":"2018-03-06T08:16:17Z","abstract_excerpt":"Let $D<0$ be a fundamental discriminant and denote by $E(D)$ the exponent of the ideal class group $\\text{Cl}(D)$ of $K={\\mathbb Q}(\\sqrt{D})$. Under the assumption that no Siegel zeros exist we compute all such $D$ with $E(D)$ is a divisor of $8$. 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