  The idea that preformed Cooper pairs could exist in a superconductor above
its zero-resistance state has been explored for unconventional, interface, and
disordered superconductors, yet direct experimental evidence is lacking. Here,
we use scanning tunneling noise spectroscopy to unambiguously show that
preformed Cooper pairs exist up to temperatures much higher than the
zero-resistance critical temperature $T_{C}$ in the disordered superconductor
titanium nitride, by observing a clear enhancement in the shot noise that is
equivalent to a change of the effective charge from 1 to 2 electron charges. We
further show that spectroscopic gap fills up rather than closes when increasing
temperature. Our results thus demonstrate the existence of a novel state above
$T_{C}$ that, much like an ordinary metal, has no (pseudo)gap, but carries
charge via paired electrons.
