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The title of the paper leads to an incorrect conclusion as we show that theequilibrium result of the paper is a special limit of a general result fornonequilibrium systems in internal equilibrium already available in theliterature. We also point out some of the limitations of the approach taken bythe authors.

Comment on "The generalized Boltzmann distribution is the only  distribution in which the Gibbs-Shannon entropy equals the thermodynamic  entropy" by X. Gao, E. Gallicchio and A.E. Roitberg [J. Chem. Phys. 151,  034113 (2019)]