Abstract: We show that thermodynamic entropy of the system is 
uniquely characterized as the Noether invariant 
associated with a symmetry for an infinitesimal 
non-uniform time translation t -> t + \eta h \beta, 
where \eta is a small parameter, h is the Planck constant, 
\beta is the inverse temperature that depends on the energy and 
control parameter, and trajectories in the phase space are 
restricted to those consistent with quasi-static processes 
in thermodynamics. [Phys.Rev.Lett. 116, 140601 (2016)]