Gas density profile as a function of distance from filament spines. The 1σ interval of the log-normal distribution of individual filament densities at each distance bin for the high δ_LD, full, and random filament samples is represented by pink, blue, and brown bars, respectively, with the squares indicating the peak of the distribution. The yellow line is the best-fit density profile model of the high δ_LD sample. The descending brown dotted line is the best-fit density profile model without the effect of the background. The black dashed line indicates the mean cosmic baryon density, while the brown dotted line shows the background level.