Knowledge derived? What knowledge do you derive? IP addresses? Email?
Moderators do not have access to IPs, E-mail, nor passwords. They have little more access to information than yourself. (they have a scratch pad to jot down notes, and know how many articles and replies you have posted.)
Junior moderators can: suspend a user from 1-7 days
Senior moderators can: ban and nuke users (nuke deletes posts and bans).
Both suspend and ban require the moderator to enter a notice to the user, which should explain the reason they've found themselves without posting privs.
Nuke is reserved for hit-n-run style disruptors, you know the type.
All three, suspend, ban, and nuke, require the moderator to make an additional comment which stays with the user record. Whereas the notice is directed to the user, this comment is directed to those who oversee moderator actions. (Namely Jim and the Captain moderator.)