Rest-frame 0.5–2 keV intrinsic luminosity L_x and redshift (in the scale of log(l + z)) distribution of the AGN with good redshift measurements (zG ⩾ 3) and with spectral measurements of L_x (LxModel 1,3,or 4). The median and the 68% percentile interval measured from the posterior L_x distributions are plotted with red points and light-blue error bars. The green line is the 90%-detection curve of AGN with logN_H < 21 measured through simulation (Liu et al. 2022b). For representation purposes, we only plot randomly-selected half of the sources.