Recent studies have proposed that the bathymetric fabric of the seafloor formed at mid-ocean ridges records rapid (23-100 kyr) fluctuations in ridge magma supply caused by sea level changes that modulate melt production in the underlying mantle. Using quantitative models of faulting and magma emplacement, we demonstrate that, in fact, seafloor-shaping processes act as a low-pass filter on variations in magma supply, strongly damping fluctuations shorter than ~100 kyr. We show that the systematic decrease in dominant seafloor wavelengths with increasing spreading rate is best explained by a model of fault growth and abandonment under a steady magma input. This provides a robust framework for deciphering the footprint of mantle melting in the fabric of abyssal hills, the most common topographic feature on Earth.One Sentence Summary: The fabric of the seafloor is best explained by the interaction between fault growth and crustal emplacement, which is largely insensitive to climatically controlled variations in ridge magma supply.Main Text: Seafloor abyssal hills are the most common topographic feature on the surface of the solid Earth. They consist of a juxtaposition of bathymetric highs and lows with a characteristic spacing of 1-10 km and amplitude of up to a few hundred meters, elongated parallel to crustal isochrons (1-3). These features form at mid-ocean ridges (MORs) through the interaction of volcanism and faulting coincident with the creation of new oceanic lithosphere (2,4,5) (Fig. 1).The fabric of abyssal hills has recently been proposed to record fluctuations in MOR magma supply driven by climatically controlled sea level variations with a periodicity of up to 100 kyr (6). It was shown that sea level changes of ~100 m associated with glacial (Milankovitch) cycles could induce pressure changes on the sub-ridge mantle undergoing decompression melting, thereby modulating the flux of melt supplied to the ridge axis (6, 7). This mechanism was proposed to drive oceanic crustal thickness fluctuations of ~600 m, and give rise to isostatically compensated seafloor topography with wavelengths reflecting Milankovitch periodicities (23, 41, and 100 kyr). Spectral power at these wavelengths in the bathymetry of the intermediate-spreading Australian-Antarctic Ridge (AAR) was presented as evidence for this process (6). Moreover, an independent study revealed a strong spectral peak near the 100-kyr period for seafloor created at the fast-spreading East Pacific Rise, although peaks at the 23-and 41-kyr periods were not observed (8). If confirmed, a major implication of this model is that abyssal hill fabric represents a proxy for paleo sea level change.Climate-driven changes in magma supply in several terrestrial settings have been attributed to the loss of glaciers, some up to 2 km thick (9, 10). However, whether ~100 m change in sea level can be effectively recorded in seafloor bathymetry is unclear (6,7,11). We combine classic seafloor observations with recently developed and improved models of MOR dynamics ...