Changes in the electronic structure of Yb, a material whose valence is modified under pressure, are observed with remarkable detail in x-ray absorption and emission data measured between ambient conditions and $20\phantom{\rule{0.3em}{0ex}}\mathrm{GPa}$. These changes are reproduced by a theory that essentially does not rely on experimental parameters, and includes dynamical core-hole screening. From the combined experimental and theoretical data we can firmly establish on a quantitative level how the valency of an intermediate valence material is modified by pressure. In metallic Yb it increases from 2 to $2.55\ifmmode\pm\else\textpm\fi{}0.05$ between 0 and $20\phantom{\rule{0.3em}{0ex}}\mathrm{GPa}$.
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