Constraining power of the z₀ = 0 assembly state indicators on the MAHs. Each panel shows the Spearman rank correlations between the MAH curves and a z₀ = 0 assembly state indicator. The absolute magnitude of the curve at each z can be read as the fraction of the scatter on the ranking of M(z)/M₀ that can be explained by the corresponding parameter at z₀ = 0. The green regions indicate the redshift intervals where this correlation exceeds 0.3 in magnitude, with the green, vertical lines delimiting the interval to ease the visualisation. The horizontal, grey, dashed line marks null correlation. The arrows indicate the redshift at which this correlation is maximal, z_c, X.