A worked example of a self-audited submission

This manuscript demonstrates the self-audit case: the conductor and the auditor are the same person, namely Beatrice Bayes. The point of putting it on PreXiv is to show how the rendered page communicates that to readers — distinct from a third-party audit, weaker than an external sign-off, but stronger than no audit at all. We use as a running illustration the bound $\sum_{n \le x} \Lambda(n) = x + O(x e^{-c\sqrt{\log x}})$ from analytic number theory. The body would normally be more substantial than this abstract.