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We show that $\\textrm{Quot}_{C/\\mathbb C}(E,k,d)$ is irreducible for $d \\gg 0$."},"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":"2401.10528","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-01-19T07:09:50Z","cross_cats_sorted":[],"title_canon_sha256":"b94e527f4b7204cfa452820fc817a8ab7deb732a7ac2a3a4f5d6598e5d9d553e","abstract_canon_sha256":"a363ab9ad295069e26e0b7b9bdb8d699d74170ad83dc56334d76ab70f49d73fe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:20:39.413532Z","signature_b64":"srV37oHXe+fugpWZlUBVLa90nkWlMG2AkreREle17nOjljHUF7Qc2uelmO9tYg2RnEzJSkX/ym5e20wq/AGuBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2dcdec19653e10209e2457a54ea9e35f630952629af04df5a9193bc830628d2f","last_reissued_at":"2026-07-05T09:20:39.413033Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:20:39.413033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Irreducibility of Some Quot Schemes on Nodal Curves","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Parvez Rasul","submitted_at":"2024-01-19T07:09:50Z","abstract_excerpt":"Let $C$ be an integral projective nodal curve over $\\mathbb C$, of arithmetic genus $g \\geqslant 2$. 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