  The recent measurement of a half-integer thermal conductance for the
$\nu=5/2$ fractional quantum Hall state has confirmed its non-Abelian nature,
making the question of the underlying topological order highly intriguing. We
analyze the shot noise at the edge of the three most prominent non-Abelian
candidate states. We show that the noise scaling with respect to the edge
length can, in combination with the thermal conductance, be used to
experimentally distinguish between the Pfaffian, anti-Pfaffian, and
particle-hole-Pfaffian edge structures.
