  The first measurement of $_{\Lambda}^{3}\mathrm{H}$ and $^3_
{\overline{\Lambda}}\overline{\mathrm{H}}$ differential production with respect
to transverse momentum and centrality in Pb$-$Pb collisions at
$\sqrt{s_{\mathrm{NN}}}=5.02$~TeV is presented. The $_{\Lambda}^{3}\mathrm{H}$
has been reconstructed via its two-charged-body decay channel, i.e.,
$_{\Lambda}^{3}\mathrm{H} \rightarrow {}^{3}\mathrm{He} + \pi^{-}$. A
Blast-Wave model fit of the $p_{\rm T}$-differential spectra of all nuclear
species measured by the ALICE collaboration suggests that the
$_{\Lambda}^{3}\mathrm{H}$ kinetic freeze-out surface is consistent with that
of other nuclei. The ratio between the integrated yields of
$_{\Lambda}^{3}\mathrm{H}$ and $^3\mathrm{He}$ is compared to predictions from
the statistical hadronisation model and the coalescence model, with the latter
being favoured by the presented measurements.
