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Throughout the paper, computational examples for the trigonal genus three curve (\\((3,4)\\)-curve) \\(y^3+(\\mu_1x+\\mu_4)y^2+(\\mu_2x^2+\\mu_5x+\\mu_8)y=x^4+\\mu_3x^3+\\mu_6x^2+\\mu_9x+\\mu_{12}\\) (\\(\\mu_j\\) are constants) are given."},"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":"1510.03002","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-10-11T02:45:11Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"95a1630b3dbb459bb441c3ff2312e7a86da4790227714fa43b708afb3e3eae89","abstract_canon_sha256":"e9f78ddf2c01339b80960b1dd9c9c828c5f2aa0597da5173c9534bedaa8ba413"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:33.012611Z","signature_b64":"0ascLJ86WIHRabd92U3Pq7eBGAXbi10zKmDo4t1GtBrXEZKAd1mNEND4nO6ad//3+g+rIxsuK0rDstc3l6xrCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"366c6d8763e9686f7212675baadac42319ae6b3136056bbce7e3e22f90705ccc","last_reissued_at":"2026-05-18T01:30:33.011994Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:33.011994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hurwitz integrality of power series expansion of the sigma function for a plane curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Yoshihiro \\^Onishi","submitted_at":"2015-10-11T02:45:11Z","abstract_excerpt":"This paper shows Hurwitz integrality of the coefficients of expansion at the origin of the sigma function \\(\\sigma(u)\\) associated to a certain plane curve which should be called a plane telescopic curve. 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