  The even denominator fractional quantum Hall (FQH) states $\nu=5/2$ and
$\nu=7/2$ have been long predicted to host non-abelian quasiparticles (QPs).
Their present energy-carrying neutral modes are hidden from customary
conductance measurements and thus motivate thermal transport measurements,
which are sensitive to all energy-carrying modes. While past `two-terminal'
thermal conductance ($k_{2t}T$) measurements already proved the non-Abelian
nature of the $\nu=5/2$ FQH state, they might have been prone to a lack of
thermal equilibration among the counter-propagating edge modes. Here, we report
a novel thermal Hall conductance measurement of the $\nu=5/2$ and $\nu=7/2$
states, being insensitive to equilibration among edge modes. We verify the
state's non-Abelian nature, with both states supporting a single upstream
Majorana edge mode (hence, a particle-hole Pfaffian order). While current
numerical works predict a different topological order, this contribution should
motivate further theoretical work.
