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It has been recently proved that if $X\\subset \\mathbb{P}^{n+1}$ is a hypersurface of degree $d\\geq n+2$, and if $C\\subset X$ is an irreducible curve passing through a general point of $X$, then its gonality verifies $\\mathrm{gon}(C)\\geq d-n$, and equality is attained on some special hypersurfaces. We prove that if $X\\subset \\mathbb{P}^{n+1}$ is a very general hypersurface of degree $d\\geq 2n+2$, the least gonality of an irreducible curve $C\\subset X$ passing through a general poi"},"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":"1707.07252","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-23T06:30:12Z","cross_cats_sorted":[],"title_canon_sha256":"6a1552863645e205edd7819fd1e3a8f93139313525850dee53ba632c1d13c643","abstract_canon_sha256":"b4d88389c5216e229f9332b7917a97e521c0e6e1baa9e96141ccefe77b33f30f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:46.069920Z","signature_b64":"htBQj9Z0gDkq+t4j+rR0oKge0KJSE0kSJgcO+wA3RLaeBBT0+YAHs7Vpp9rdHdffg5zSzpEwn5k1qvWrfq8nBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b69cf95b37ddc047fefce6dfda2a86d03638de4655c3c0fcaec4b49b02deed59","last_reissued_at":"2026-05-17T23:48:46.069518Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:46.069518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gonality of curves on general hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ciro Ciliberto, Flaminio Flamini, Francesco Bastianelli, Paola Supino","submitted_at":"2017-07-23T06:30:12Z","abstract_excerpt":"This paper concerns the existence of curves with low gonality on smooth hypersurfaces of sufficiently large degree. 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