Top panels: N-PDFs traced by H I emission. The distributions are derived from the H I column densities that have been corrected for optical depth and continuum emission (top panel of Fig. 11). Middle panels: N-PDFs of the gas traced by HISA. Bottom panels: H₂ N-PDFs traced by ¹³CO. Left panels:derived N-PDF of the whole filament (east+west), respectively. Middle and right panel: N-PDFs of the eastern and western part of the filament, respectively. The blue curves indicate the log-normal fits to the distribution. The red vertical dashed and solid lines mark the column density threshold (last closed contour) and mean column density, respectively. The red solid lines in the lower panels indicate the fit to the power-law tail.