Before revision: We present  an exact probability distribution (meta-distribution) for p-values across ensembles of statistically identical phenomena , as well as the distribution of the minimum p-value among m independents tests .
After revision: We present the expected values from p-value hacking as a choice of the minimum p-value among m independents tests, which can be considerably lower than the "true" p-value, even with a single trial, owing to the extreme skewness of the meta-distribution. We first present an exact probability distribution (meta-distribution) for p-values across ensembles of statistically identical phenomena , as well as the distribution of the minimum p-value among m independents tests .