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This has never been proven.","posed_since":"1965","precise":"Spin-$1/2$ fermions in $R^{3}$ (or on $Z^{2}$ at generic filling) with weak repulsive short-range v. Prove that the ground state, or the Gibbs state below some $T_c > 0$, has off-diagonal long-range order in the pair density matrix in a channel of nonzero angular momentum. 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