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On a compact Riemann surface $X$ of genus $g$ consider a meromorphic funciton $f: X\\to {\\Bbb C}P^1$ such that all poles and critical points of $f$ are simple and no critical value of $f$ coincides with a conical singularity of $\\mathsf m$ or $\\{\\infty\\}$. The pullback $f^*\\mathsf m$ of $\\mathsf m$ under $f$ has conical singularities of angles $4\\pi$ at the critical points of $f$ and other conical singularities that are the preimages of those of $\\mathsf m$. We study the $\\zeta$-regularized det"},"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":"1712.05405","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-15T00:11:05Z","cross_cats_sorted":["math.DG","math.SP"],"title_canon_sha256":"58c9d98aeac6a585b1bbb237cfa32ac3b16f6ea3a46645ea121d4847892af7fb","abstract_canon_sha256":"5091efa51f4a6363ab389452b0b3e91a4f9666c9bc9b206eb5758eebb78d389b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:32.297481Z","signature_b64":"BA9QfN4Q3utjHCEnfQIqJ+nEUF5pS2Edpm99sgqaJn67Or+ukhUZ5bbNytc2ZGndmreiQkh5NvLAqoSzt4+5Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0f5bc98644f452d08496764376a236c2263433eccb7fecf070f0d854842a4f5","last_reissued_at":"2026-05-18T00:05:32.297053Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:32.297053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Determinants of Laplacians on Compact Riemann Surfaces Equipped with Pullbacks of Conical Metrics by Meromorphic Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.SP"],"primary_cat":"math.AP","authors_text":"Victor Kalvin","submitted_at":"2017-12-15T00:11:05Z","abstract_excerpt":"Let $\\mathsf m$ be any conical (or smooth) metric of finite volume on the Riemann sphere $\\Bbb CP^1$. 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