Connectivity distributions for maxima. The left and right columns refer to the Legacy MGS and LOWZ+CMASS sample, respectively. The rows are different smoothing cycles of the density field prior to filament detection. The cyan lines refer to a 3σ persistence threshold, and orange lines refer to a 5σ persistence threshold. The dashed red lines are connectivity distributions for a 3σ persistence threshold after maxima were removed that were connected to only one filament. Although indicated as 5σ, the high-persistence cut for LOWZ+CMASS in the one-smoothing case has been limited to 4.5σ.