While using a screen tester app on my wife's Nexus 7, I found that one of the test patterns made her digitizer freak out. I looked online and the app creator even made another app specifically to show the issue (though many people claimed it was a fake). I'm wondering if this webpage with the checkered black/white background (appears gray) causes anyone else's digitizer to stop responding. (Don't worry, the background auto-clears after 10 seconds so you can keep using your device.)
2013 Nexus 7 Digitizer Disabler
2013 Nexus 7 Digitizer Disabler