  We suggest a possible approach to proving the M\'ezard-Parisi formula for the
free energy in the diluted spin glass models, such as diluted K-spin or random
K-sat model at any positive temperature. In the main contribution of the paper,
we show that a certain small modification of the Hamiltonian in any of these
models forces all finite-RSB asymptotic Gibbs measures in the sense of the
overlaps to satisfy the M\'ezard-Parisi ansatz for the distribution of spins.
Unfortunately, what is still missing is a description of the general full-RSB
asymptotic Gibbs measures. If one could show that the general case can be
approximated by finite-RSB case in the right sense then one could a posteriori
remove the small modification of the Hamiltonian to recover the M\'ezard-Parisi
formula for the original model.
