Question 5.0.0.7. What additional data is needed to reconstruct the $\infty $-category $\operatorname{\mathcal{E}}$ from the collection of $\infty $-categories $\{ \operatorname{\mathcal{E}}_{C} \} _{C \in \operatorname{\mathcal{C}}}$?
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$