Column density probability density functions (N-PDFs) as a function of column density (top axis) and visual extinction (bottom axis) for the MonR2, G034, and OH341 regions and for all CAFFEINE regions combined in red, blue, green and black, respectively. The peaks of the distributions are indicated by dashed lines with the column density $N_{{\text{H}}_2\text{,peak }}$ presented in the legend. Additionally, solid lines indicate the fitted power-law tail at high column densities with the slope s also mentioned in the legend.