The build number of the new Apple TV 6.0.1 Software Update is 11B511d, compared to 11A502 of the older version.
Here are the direct download links:
You can update your Apple TV via the Settings menu (General -> Update Software).
Apple’s release notes for the update say:
Includes general performance and stability improvements.
If you spot anything let us know in the comments below. The last Apple TV update, released alongside iOS 7, was a major one and included new features like iTunes Radio, AirPlay from iCloud, iCloud Photos and more.