Apple has just pushed out iOS 6.0.2 for iPhone 5 and iPad mini, a minor bug-fix update to last fall's iOS 6 release. According to Apple it:

Fixes a bug that could impact Wi-Fi.

Sadly, we keep getting errors when trying to connect to Apple's over-the-air (OTA) software update service, so I can't see exactly what, if anything, is in yet it beyond that.

Go to Settings > General > Software Update on your iPhone 5 or iPad mini, and try your luck, and let us know what you get. You can also try tethering via USB to iTunes, though that's showing me iOS 6.0.1 still...

Hopefully everything will clear up over the next few minutes/hours.