Tor torrenting is the common way through which many people get caught.
So what's the fix? There are two answers here. The first answer is "don't run Bittorrent over Tor". We've been saying for years not to run Bittorrent over Tor, because the Tor network can't handle the load
The second answer is that if you want your Bittorrent client to actually provide privacy when using a proxy, you need to get the application and protocol developers to fix their applications and protocols. Tor can't keep you safe if your applications leak your identity. The third attack from their paper is where things get interesting. For efficiency, Tor puts multiple application streams over each circuit.[...]
What's the fix? The same two fixes as before: don't run Bittorrent over Tor, and/or get your Bittorrent developers to fix their applications. But for developers, this attack opens up an opportunity for a third fix. Is there a way that we as Tor can reduce the damage that users can do to themselves when they use insecure applications over Tor? We can't solve the fact that you'll shoot yourself in the foot if you use Bittorrent over Tor, but maybe we can still save the rest of the leg. One approach to addressing this problem in Tor's design is to make each user application use a separate circuit. Another answer is to separate streams by destination port. Then all the streams that go to port 80 are on one circuit, and a stream for a different destination port goes on another circuit.
We've had that idea lurking in the background for a long time now, but it's actually because of Bittorrent that we haven't implemented it: if a BT client asks us to make 50 streams to 50 different destination ports, I don't want the Tor client to try to make 50 different circuits. That puts too much load on the network. I guess we could special-case it by separating "80" and "not 80", but I'm not sure how effective that would be in practice, first since many other ports (IM, SSH, etc) would want to be special-cased, and second since firewalls are pressuring more and more of the Internet to go over port 80 these days.
