Even the government stopped denying their truth, especially after the drip feed of info caught them in baldface lies on several occasions. Also, if the info wasn't genuine, why would they be so upset and calling Snowden a "traitor" etc?
Additionally, this wasn't even the first time any of us had heard about this sort of thing. Ever heard of Room 641A? The Snowden leaks aren't exactly implausible or unprecedented.
I don't know if you are genuinely unsure of their veracity or just making a rhetorical point, but it's not a point of contention in any serious debate forum I know of, even among intelligence community sympathizers.