Managing your authentication service across your network can be achieved in many different ways, but there is a solution that has been available for years that provides synchronized authentication service, and that was designed to work with the Network File System (NFS) for identifying files and access.

The content of the article, as described by the intro:

Examine how to set up, configure, and update a Network Information System (NIS) installation for sharing information, and learn how NIS can be merged with other solutions, such as files and Domain Name System (DNS), to provide subnet, network, and worldwide data sharing facilities. In a large UNIX network, the ability to share information among the many systems helps to alleviate many problems, such as sharing permissions across different systems with Network File System (NFS), or simply providing a single login for the entire network.

Read System Administration Toolkit: Managing NIS services for authorizations.