Halo mass function for the mass calibration of the PINOCCHIO catalogs. Top panel: comparison between the mass function from the calibrated (red) and the non-calibrated (blue) light cones, averaged over the 1000 catalogs, in the redshift bin z = 0.1 − 0.2. Error bars represent the standard error on the mean. The black line is the D16 mass function. Bottom panel: relative difference between the mass function from simulations and that of D16.