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@@ -1419,8 +1419,10 @@ We have constructed a replica solution for the general problem of finding
saddles of random mean-field landscapes, including systems with many steps of
RSB. For systems with full RSB, we find that minima are exponentially
subdominant with respect to saddles at all energy densities above the ground
-state. The solution contains valuable geometric information that has yet to be
-extracted in all detail, for example considering several copies of the system
+state. The solution should be subjected to standard checks, like the
+examination of its stability with respect to other RSB schemes. The solution
+contains valuable geometric information that has yet to be extracted in all
+detail, for example considering several copies of the system
\cite{Cavagna_1997_Structure}, or the extension to complex variables
\cite{Kent-Dobias_2021_Complex, Kent-Dobias_2022_Analytic}.