  We discuss the type of pairing in the hexagonal pnictide superconductor
SrPtAs, taking into account its multiband structure. The topological chiral
$d$-wave state with time-reversal-symmetry breaking has been anticipated from
the spontaneous magnetization observed by the muon-spin-relaxation experiment.
We point out in this paper that the recent experimental reports on the
nuclear-spin-lattice relaxation rate $T_1^{-1}$ and superfluid density
$n_s(T)$, which seemingly support the conventional $s$-wave pairing, are also
consistent with the chiral $d$-wave state. The compatibility of the gap and
multiband structures is crucial in this argument.
