  We show that classical Heisenberg antiferromagnets on the breathing kagome
lattice can be a platform to realize a zero-field topological order of the
scalar spin chirality which can be viewed as a miniature skyrmion crystal (SkX)
of discrete form with a small number of spins in its magnetic unit cell. In the
model, a third nearest-neighbor (NN) antiferromagnetic interaction along the
bond direction $J_3$ and the breathing bond-alternation characterized by the
ratio of the NN interaction for large triangles to that for small ones,
$J_1'/J_1$, are essential. It is found by means of Monte Carlo simulations that
a commensurate triple-${\bf Q}$ state appearing for relatively strong $J_3$ at
zero field is the noncoplanar state with the SkX structure in the breathing
case of $J_1'/J_1 \neq 1$, while in the uniform case of $J_1'/J_1 =1$, it is a
collinear state favored by thermal fluctuations. The origin of this chiral
order and experimental implications of our result are also discussed.
