Yup, it's me. The issue is mentioned many many times on Amazon forums,and everyone reports the same thing. Sometimes it's enough to change the name of your wifi network,sometimes it won't help. I also found a post somewhere talking about how the Wi-Fi kernel driver of the Paperwhite actually crashes in presence of certain networks, and nothing helps except for a reboot - and obviously if that network is still there it will crash again.

It seems to be mostly triggered by BT/Virgin Media routers here in the UK:

To give you an example: http://www.amazon.co.uk/forum/kindle?_encoding=UTF8&cdForum=...