With the previous hypothesis, the skeleton $\Delta_{\mathscr{X}}\subset X^{{\mathrm{an}}}$ is given by

$$\Delta_{\mathscr{X}}=\zeta_{K}(\Delta_{\Pi}).$$

The restriction to $\mathbb{T}^{{\mathrm{an}}}$ of the retraction $p_{\mathscr{X}}$ is the composition

$$p_{\mathscr{X}}\mid_{\mathbb{T}^{{\mathrm{an}}}}=\zeta_{K}\circ p_{\Pi}\circ\Val_{K}.$$