Convergence test for the cumulative mass function with respect to the effects of both transients and modes sampled in the initial conditions, at fixed box size. In each panel, we report results for five particle masses: {6.50 × 10¹¹, 8.13 × 10¹⁰, 1.02 × 10¹⁰, 5.08 × 10⁹, 1.27 × 10⁹} h⁻¹ M_⊙; respectively {4 × 160³, 4 × 320³, 4 × 640³, 1280³, 4 × 1280³} particles in a box of 500 h⁻¹ Mpc. The rationale for the chosen number of particles is that 4 × 160³ differs by ∼2 percent from 256³, and therefore one can directly compare the results presented here with Fig. A.3 at similar computational cost. The filled region in grey represents the 1 percent region around unity and the filled region in red marks the 68 percent confidence level assuming Poisson distribution for the abundance of halos in both simulations. Each panel shows the comparison for a different redshift, as labelled.