We propose a signal \( {\Delta }_p^{(3)} \) for tripartite correlations in finite-dimensional quantum systems and \( {\Delta }_w^{(3)} \) for holographic systems. We prove that \( {\Delta }_p^{(3)} \) is non-negative for any tripartite entangled mixed states and vanishes for mixed product states. It is a correlation signal because it is generally nonzero for a separable state containing a classical mixture. Based on the conjecture, the equality between an entanglement wedge cross section Ew and entanglement of purification Ep, i.e., Ew = EP in the semiclassical limit, we apply the tripartite correlation signal to study the structures of tripartite entanglement in AdS3/CFT2, especially for pure AdS3. We comment on a generalization to n-partite correlation signals \( {\Delta}_p^{(n)}\left({A}_1:\cdots :{A}_n\right) \) .
