Identification of the sheath and CME boundaries in EUHFORIA time series (in red) at various heliocentric distances. At each heliocentric distance, the magnetic field intensity, B, proton, β_p, speed, v, and proton number density, n_p, are provided. The arrival time of the CME-driven shock is marked by the dashed blue line. The identification of the magnetic ejecta boundaries (marked as continuous blue lines, same as in Fig. A.1) has been obtained by applying the threshold condition β_p ≤ 0.5 (indicated as blue shaded regions). The duration of the CME sheath, based on the identification of t_shock and t_start, is marked in yellow. In the proton β panels, the β_p = 0.5 threshold is indicated as an horizontal dashed black line.