Consider the brief reply to a correction, "Fixed, thanks". This could be interpreted as abrupt or even rude, but it is short, it acknowledges the help as received and useful and implemented, and it's clear in those functions. It's as polite as makes sense: more humble dancing about would only be annoying to many people

I would add that acceding to the corrections of another is somewhat of a compliment - particularly to nerds. In fact it is a strong enough status signal that I don't expect high status people to acknowledge such correction unless they cannot get away with not doing so.