I think you may have authentication and authorization swapped.
You're correct in that I'm grouping authentication and authorization.
The three types of tuples would include:
An identity (E.G. a person at an address).
Proof that you are that person at that address.
A list of things you're allowed to do at that address (IRL laws, or for a computer account publishing as that address/etc).
Identity: mjevans on news.ycombinator.com
Authentication: is allowed to post as (Identity), is allowed to vote on things, etc.
Identity alone should not imply authorization, when someone is asking for a proof of identity what they really want is a record that you are actually an identity (authorization).