So it seems that you have to provide exactly zero proof and your word (in a good faith) is enough to take a repository down. There is no way to verify anything and in order to stay safe they (github in this case) have to take the content down.

Now imagine I file a takedown notice for every aspiring project posted here on HN that is hosted on github. They take a pretty good hit from it I'd assume, to be silenced on the launch. Of course I open myself to litigation with false takedown request... but what do I care? I'm not a citizen of United States and I don't really care what laws are there.

So what now? How can this work?