Comparison of our HMF model to the works of Tinker et al. (2008), Despali et al. (2016), and Ondaro-Mallea et al. (2021). We use our ROCKSTAR calibration as the reference and present our SUBFIND calibration for easy comparison with Ondaro-Mallea et al. (2021). We also present the mean of the multiplicity function νf(ν) measured from the ten PICCOLO C0 runs. The grey regions depict the 1 and 5 percent regions. We adopted a symmetric-log scale on the y-axis, where the region between the dashed lines is presented in a linear scale.