Yoshida's conjecture on CM period symbols and pi

Let $K$ be a CM field that is Galois over $\mathbb{Q}$, and let $\Phi$ be a CM type of $K$. The quantities $p_K(\operatorname{id},\sigma)$ are Shimura period symbols, and $\operatorname{tr.deg}_{\overline{\mathbb{Q}}}$ denotes transcendence degree over $\overline{\mathbb{Q}}$. Yoshida's conjecture.

$$\operatorname{tr.deg}_{\overline{\mathbb{Q}}}\overline{\mathbb{Q}}\left(\pi,\,p_K(\operatorname{id},\sigma)\mid\sigma\in\Phi\right)=1+[K:\mathbb{Q}]/2.$$

The conjecture includes $\pi$ and was described by Yoshida as a consequence of Deligne's conjecture, itself a special case of Grothendieck's period conjecture. The source does not state a resolution.