The title is hyperbole. Neither group claimed "discovery". They only are claiming observation of a new boson.
"We have a discovery - we have observed a new particle consistent with a Higgs boson. But which one? That remains open."
Either way you're being incredibly pedantic. What's really the difference between discovering and observing something that's never been observed before?
To answer your question: we have not shown that it is a higgs boson. Essentially today's result is simply that we observed a lot of objects decaying from a mass 125GeV. More than we expect from the Standard Model (w/out higgs).