The point source sample. Top panel: fraction of AGN detected as point-like objects as a function of the input flux in the soft X-ray band for different exposure times. The circles show the values measured comparing input and source catalogs, the solid lines our best fit model in Eq. E.1. Bottom panel: fraction of spurious sources in the point source sample as a function of detection likelihood cuts for different exposure times. The full circles denote the false detection rate measured in the simulation, the solid lines identify the model described by Equation E.2 computed at the average exposure time corresponding to each bin.