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This could be done after submitting to the journal though, to allow double blind reviews.

It’s still common practice to place the pre-print online, either before or during article submission. Journals and conferences usually ask the reviewers to not explicitly look up the paper online. (Honor code. Usually works, sometimes doesn’t, but definitely does seem to decrease the amount of silly bashing that sometimes happens when authors are clearly known.)

Indeed. The whole system relies on trust.

In computer science, it's usual to know who is writing because the specific field is small and you basically know who is working on what anyway. I guess it's even more so in math.

You'd better not piss off anyone in your community.

I agree, and I hope to see more fully open review approaches in the future, where everyone who is interested can see the reviews and the reviewers' names. The Journal of Open Source Software has this: https://joss.theoj.org/. It's certainly not a high-profile journal, yet, but it starts getting contributions from strong researchers. Considering that in small communities, it is not uncommon that even the author can infer who the reviewer is, anyway, I think this is the way to go.

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