  This Letter presents the most precise measurement to date of the
matter/antimatter imbalance at midrapidity in Pb-Pb collisions at a
center-of-mass energy per nucleon pair $\sqrt{s_{\rm NN}} = 5.02$ TeV. Using
the Statistical Hadronization framework, it is possible to obtain the value of
the electric charge and baryon chemical potentials, $\mu_Q=-0.18\pm0.90$ MeV
and $\mu_B=0.71\pm0.45$ MeV, with unprecedented precision. A
centrality-differential study of the antiparticle-to-particle yield ratios of
charged pions, protons, $\Omega$-baryons, and light (hyper)nuclei is performed.
These results indicate that the system created in Pb-Pb collisions at the LHC
is on average baryon-free and electrically neutral at midrapidity.
