In Fig. , we show the spin-resolved components of e ee c (r) for LiH at both equilibrium [Fig. ] and stretched [Fig. ] bond lengths along the internuclear axis, z. At equilibrium, the OS contribution dominates e ee c (z), while the SS component is negligible. Upon stretching [Fig. ], near the H atom (z ∼ 5), the SS component remains negligible, whereas near the Li atom (z ∼ -5) the SS term grows significantly and exhibits a positive sign, in contrast to the negative OS term. To connect these opposite signs with the underlying correlation physics, we note from Eq. 46 that these spin-resolved energy densities are the λ-averaged electrostatic potentials of ∆P λ,OS 2 (r, r 2 ) and ∆P λ,SS 2 (r, r 2 ), which are quantities analogous to the DFT correlation hole. In stretched LiH, around the Li atom, ∆P λ,OS 2 (r, r 2 ) is predominantly negative for nearby r 2 , indicating that correlation pushes opposite-spin electrons apart, while ∆P λ,SS 2 (r, r 2 ) is positive under the same conditions, reflecting that correlation brings nearby same-spin electrons closer together.