On the TutsPlus.com site they've posted a tutorial showing you how to integrate with Twitter's OAuth authentication through a few simple steps allowing the well known "Log in with Twitter" functionality.

In this tutorial, you will learn how to use Twitter API 1.1 and OAuth 2.0 to authenticate users of your application and publish a test tweet.

To create services which act on behalf of users' accounts and make it really secure and easy to develop, we need three things: a Twitter application, the REST API and access to the user account To put the pieces together into a working mechanism, we need an authentication framework. As a Twitter standard, the REST API identifies Twitter applications and users using OAuth.

The tutorial starts with a brief description of OAuth for those that aren't overly familiar with the use of the technology and its flow. They then go through the steps you'll need to get your app working with Twitter's OAuth handling:

• Create the Twitter application
• Get the OAuth credentials (secret and key)
• Installing a Twitter library via Composer
• Configuring your app with the OAuth credentials
• Building out the code to send the request to Twitter and receive the resulting callback

Once you receive that callback you'll have a token you can use to uniquely identify the user and interact with the Twitter API on their behalf. The post ends with some related links to other resources with more details about the Twitter API, their OAuth handling and other Twitter libraries.