Update 10/17/14: Play Store 5.0.32, a small bump over 5.0.31, is now available for download.
Update 10/31/14: Play Store 5.0.37, a bump over 5.0.32, is now available for download. It comes with at least one new change - a new permission bucket called Wearable sensors/activity data to help explain permissions for apps that can grab data from wearables, such as heart rate monitors.
File name: com.android.vending-5.4.12-80341200-minAPI9.apk
Version: 5.4.12 (80341200)
Uploaded: 04/14/2015 20:09 UTC
File size: 10.68 MB (11,194,863 bytes)
Minimum Android version: Android 2.3+ (Gingerbread, API 9)
Uploaded by: XDA Garner