What authentication libraries for PHP are not attached to a framework and meet these requirements?

Whenever I Google things like "php authentication library" I continue to come up with a ton of results of authentication libraries designed for Code Igniter.

What I am looking for is things like the following,

1. A robust library that handles login, logout, registration, login retrieval etc...
   


2. Very secure authentication possibly using sha-256+?
   


3. Library that can be integrated into any code, framework or not
   


4. Active project and community so that I can rely on it in the future.
   


5. Compatible with MySQL
   


6. Maybe some things I do not know about?
   

Source: Tips4all, CCNA FINAL EXAM