This is an almost verbatim copy of https://cstheory.meta.stackexchange.com/questions/274/is-it-ok-to-ask-about-the-correctness-of-preprints-on-crank-friendly-topics/281#281
A Proposed policy for questions on preprints.
(in the form of an FAQ. Am marking it CW for further edits)
There are good ways to ask about new seemingly exciting results in Math, and there are bad ways. Below, we give two examples of each:
BAD: Have you read this new paper on the arXiv on (topic)?
Answer: Yes, we have. Please do not post this question on this site.
BAD: Is the new claimed proof of (conjecture) correct?
Answer: If it's at all credible, be assured that people are reading it and trying to determine that. In fact, why not read it yourself ! But don't post this question on this site.
GOOD: In this new preprint on the arXiv that claims to solve Collatz Conjecture, the author refers to holomorphic functions. What is that?
Answer: We can answer your question here.
GOOD: This new paper claiming a big result is beyond my ken to read. Before I invest the time to learn all this stuff and try to read it, I am curious: have there been any discussions of it?
Answer: We can answer your question here.
BAD: This new unpublished papers on arXiv proposes a proof of a long standing conjecture. I don't understand the paper and don't want to spend time reading it, can someone verify that the author's claim is correct?
Answer: If it's at all credible, be assured that people are reading it and trying to determine that. If you can't check the correctness of the paper yourself, you should wait until it is peer-reviewed and published. Discussing the general correctness of papers which have not passed the peer-review process are off-topic for this site.
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In summary, focus your question on specific technical aspects of the work that you'd like clarification on. You can also try to rephrase your question in a way that avoids mentioning a specific unpublished work but will ask essentially what you want to know.
Remember: if your question is closed as off-topic, you can still edit your question to address the issues stated for closing it, in which case it can be reopened.