Discounted assembly histories for the halo mass components for the halo identified as FoFID 28000000000249. We use the same colour scheme, marker types, and line style keys as in Fig. A.1. The figure shows that the assembly time t_70% for the halo mass component (black solid line with crosses) cannot be accurately using interpolation alone; therefore, the curve fit procedure is employed, which in this case provides a more realistic result on both half assembly times.