> not answering a simple yes or no question
Here you go:
> Do you have published security reviews of your infrastructure?
Beyond https://hackerone.com/homebrew/hacktivity, https://brew.sh/2018/08/05/security-incident-disclosure/: no.
> Otherwise you're asking us to just trust you.
Yes.
> it's not clear who has access to it
A subset of the documented Homebrew maintainers who manage our ops/infrastructure.
> such as who reviews the commits
The maintainers and additional trusted users.
> the precautions taken by bintray to prevent and detect tampering with packages
packages require a manual publishing step, are checksummed and frozen on their CDN a while after publishing.
> most formula pull requests need to be reviewer but does not go over what this entails
This is part of the on boarding and training of new maintainers.
> Is there a set of maintainers who handle security sensitive formula, like openssl, gnupg, and tor?
Not a specific set but they receive extra time, review and attention to their source URLs.
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I expect some of that will not be good enough for you in which case: please either get involved to help us make it better (we are unpaid volunteers) or use another tool. This is how open source works.