Not just BT
My ISP isn't BT, but they too were caught up in this, but only at some point between 18:30 and 20:30 yesterday. My ADSL was working until 18:30 when I went out. When I returned 2 hours later, the connection had dropped. Rebooting my router saw the connection to the exchange re-established, but I couldn't authenticate. It remained this way until 22:20 when it managed to. My ISP blames BT for their "network-wide outage".