Abstract We study the counting problem of BPS D-branes wrapping holomorphic cycles of a general toric Calabi-Yau manifold. We evaluate the Jeffrey-Kirwan residues for the flavoured Witten index for the supersymmetric quiver quantum mechanics on the worldvolume of the D-branes. and find that BPS degeneracies are described by a statistical mechanical model of crystal melting. For Calabi... https://macorners.shop/product-category/mug/