Let $\mu$ be a Dirac mass on $X$ centered at a toric divisorial point $j(x)\in X^{\mathrm{div}}$, $x\in N_{\mathbf{Q}}$. Then $c_{1}(L,\|\cdot\|_{x})^{n}=\mu$, where $\|\cdot\|_{x}$ is the toric model metric attached to the convex piecewise $\mathbf{Q}$-affine function $y\mapsto g_{\Delta}(y-x)$.