  We report Nuclear Magnetic Resonance (NMR) data for both the In(1) and In(2)
sites in the heavy fermion material CeRhIn$_5$ under hydrostatic pressure. The
Knight shift data reveal a suppression of the hyperfine coupling to the In(1)
site as a function of pressure, and the electric field gradient,
$\nu_{\alpha\alpha}$, at the In(2) site exhibits a change of slope,
$d\nu_{\alpha\alpha}/dP$, at $P_{c1} = 1.75$ GPa. These changes to these
coupling constants reflect alterations to the electronic structure at the
quantum critical point.
