P.M. Bleher, J. Ruiz, V.A. Zagrebnov. On the Purity of the Limiting Gibbs State for the Ising model on the Bethe Lattice. (19K, TeX) ABSTRACT. We give a proof that for the Ising model on the Bethe lattice, the limiting Gibbs state with zero effective field (disordered state) persists to be pure for temperature below ferromagnetic critical temperature $T_c^F$ till the critical temperature $T_c^{SG}$ of the corresponding spin-glass model. This new proof revises the one proposed in [1].