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Moreover, we prove that the set of all quadratic points over $\\mathbb{Q}$ for the modular curve $X_0^*(N)$ with genus $\\geq 2$ and $N$ square-free is not finite exactly for $51$ values of $N$."},"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":"1812.11746","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-12-31T10:10:10Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"76793de54b66f581725d902f230cadaba628441adc2bb1ee0bf151eb5cfd1829","abstract_canon_sha256":"c373639b6e1bb849a0610fd8d31ed5916c973c9fe4c8f881980668fd825c86bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:11.213293Z","signature_b64":"g1QgFbdcJtWNU+rmdBr06A7xCX6t1iXKXjrw48r31F0q1Qo4dmobwp1YKprAHSbH2nMe+QnqEQth2jSKKL/sAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20731b6f203128b6cd8e963a4c7e390f2992b8ccfe9628a311aad143569a2242","last_reissued_at":"2026-05-17T23:57:11.212927Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:11.212927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bielliptic modular curves $X_0^*(N)$ with square-free levels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Francesc Bars, Josep Gonz\\'alez","submitted_at":"2018-12-31T10:10:10Z","abstract_excerpt":"Let $N\\geq 1$ be a square-free integer such that the modular curve $X_0^*(N)$ has genus $\\geq 2$. 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