Length distribution of the filaments in three declination slices. The left and right columns refer to the two persistence thresholds we used to derive the skeleton for the Legacy MGS, i.e. 3σ and 5σ. The rows show different smoothing cycles of the density field prior to filament detection. The three declination slices are −10 ≤ δ ≤ 20deg (yellow), 20 ≤ δ ≤ 50deg (green), and 50 ≤ δ ≤ 80deg (cyan). Dashed lines and solid lines represent filament samples when no smoothing of the skeleton is applied after filament identification and when one cycle of smoothing is applied, respectively.