Even that is a questionable assumption.

They are most likely not sure if they are correct
and want to recruit you to their cause (not saying
that's bad or good)...

but if they were confident in their solution, they
would release it.  

To me, the (nothing at stake) problem is
not that hard to understand, after having
it been explained to me by yourself in
one of these threads.  Certainly, it is
easier to understand than the nuances of
ECDSA.

Intuition says that a solution to the problem,
if there is one, would be at least easily verified,
if not simplistic itself.  Although, that is just
my gut feeling on it.