Median energy histories of three sets of particles from a sample of 100 haloes with masses $M_{\mathrm{bound}}\in [0.5·{10}^{14}{h}^{-1}{\mathrm{M}}_{\odot },1.5·{10}^{14}{h}^{-1}{\mathrm{M}}_{\odot }]$, selected according to their respective time of binding. The individual energy histories of particles from different haloes are normalised by the persistence Δϕ_b(a = 1) of the host halo before the median is computed. The median persistence history of the sample of haloes is shown in black.