Radiative decays of the $J/\psi$ provide a gluon-rich environment and are therefore regarded as one of the most promising hunting grounds for glueballs. Using the world's largest samples of $J/\psi$ events produced in $e^{+}e^{-}$ annihilation, BESIII performed the first measurements of the quantum numbers of the $X(2370$). The measured mass and spin parity of the $X(2370)$ are consistent with the predictions of the lightest pseudoscalar glueball.