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We calculate the potential contributions of the Hamiltonian in harmoniccoordinates up 6PN for binary mass systems to $O(G_N^4)$ and performcomparisons to recent results in the literature \cite{Bern:2021dqo} and\cite{Bini:2020nsb}.

The 6th Post-Newtonian Potential Terms at $O(G_N^4)$