However, p-hacking isn't the only threat to replicability: in this case the authors have reported a large set of tests, so we can ask why they didn't control family-wise error via Bonferroni or friends (in which case the reported statistical significance almost certainly disappears). Also, I suspect if you fit Bayesian models (either separately or a hierarchical model) using reasonably narrow priors based on what we know about human sensitivity to magnetic fields, how much other senses are affected by sex differences, hunger, etc., and not starting each test assuming a complete state of ignorance of the world, then the data would be compatible with no effect.
That's not science. They went to the trouble. If you're going to just dismiss it, and claim that's valid, you should go to the trouble to do science on that hypothesis you have. Thanks, friend! :P ;) xx
That's not even really a "p-hack" (where you hide that you have done multiple tests, in order to avoid a multiple testing correction and to report only the positive results): it's simply a p-mistake.
What they have said is statistically incorrect, judged on its own merits. Their conclusion is not supported by the research they have done.