The giant impact hypothesis for Moon formation 1, 2 successfully explains the dynamic properties of the Earth-Moon system but remains challenged by the similarity of isotopic fingerprints of the terrestrial and lunar mantles 3 . Moreover, recent geochemical evidence suggests that the Earth's mantle preserves ancient (or "primordial") heterogeneity 4, 5 that predates the Moon-forming giant impact 6 . Using a new hydrodynamical method 7 , we here show that Moon-forming giant impacts lead to a stratified starting condition for the evolution of the terrestrial mantle. The upper layer of the Earth is compositionally similar to the disk, out of which the Moon evolves, whereas the lower layer preserves proto-Earth characteristics.As long as this predicted compositional stratification can at least partially be preserved over the subsequent billions of years of Earth mantle convection, the compositional similarity between the Moon and the accessible Earth's mantle is a natural outcome of realistic and high-1 arXiv:1904.02407v1 [astro-ph.EP] 4 Apr 2019probability Moon-forming impact scenarios 8 . The preservation of primordial heterogeneity in the modern Earth not only reconciles geochemical constraints 4, 5,9,10 but is also consistent with recent geophysical observations [11][12][13][14] . Furthermore, for significant preservation of a proto-Earth reservoir, the bulk composition of the Earth-Moon system may be systematically shifted towards chondritic values.As the only planet in our solar system, the Earth is orbited by a single and massive moon.The leading theory for the formation of the Earth-Moon system with its high angular momentum involves a giant impact followed by lunar aggregation from the impact debris disk 1 . The canonical giant impact model involves a graze-and-merge impact, in which a Mars-sized body (or "Theia") collides with the proto-Earth at an oblique angle at roughly the escape velocity of the system 2 . In this model, however, Theia contributes a larger fraction of silicates (∼70% by mass) to the protolunar disk than to the proto-Earth. Unless Theia and the proto-Earth had almost the same isotopic composition, this imbalance is at odds with the strong isotopic similarity of the Earth's and lunar mantles, e.g., in terms of oxygen 15 and titanium 16 .One way to reconcile this compositional similarity involves the post-impact re-equilibration of the Earth and the Moon-forming disk 17 . This model, however, is unable to explain the isotopic similarity of the Earth and Moon in highly refractory elements, for example, titanium 16 .More recently, several alternative giant-impact models have been proposed. A near equal-mass "Sub-Earth" impact 18 or the disruption of a fast-spinning Earth (close to self-breakup) by a small impactor 19 can indeed explain the isotopic similarity. However, the proposed solutions are low-