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Any correct microscopic count must reproduce this number.","posed_since":"","precise":"One-loop Euclidean gravity gives $S = A c^{3}/(4 G \\hbar) + C \\ln(A/\\ell_{P}^{2}) + ...$, with $C$ fixed by the massless spectrum and the ensemble; Sen (2012) computed $C$ for Schwarzschild and Kerr in various dimensions. Reproduce $C$ from a microscopic count for a non-extremal black hole in some UV-complete theory. An answer is a microscopic derivation of $C$ agreeing with the macroscopic value.","problem_ref":"d91c8ab410e4e7e8b51f4f6b34886d1eb3983b20bf4ab20c8980bf7bdfd31196","references":"","settled_by":"A microscopic computation of the logarithmic coefficient for a non-BPS black hole that agrees with the one-loop gravity result.","status_note":"Macroscopic coefficients are known since 2012; microscopic matches exist only for BPS black holes as of 2026.","title":"Match the logarithmic entropy correction of non-extremal black holes 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