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Abstract: We construct a supersymmetric quantum mechanics by starting from the 3d Chern-Simons-matter theory holographically dual to massive Type IIA string theory on AdS4×S6, and Kaluza-Klein reducing on S2 with a background that is dual to the asymptotics of static dyonic BPS black holes in AdS4. The ground-state degeneracy of the quantum mechanics reproduces the entropy of said BPS black holes, and we expect its low-lying spectrum to contain information about near-BPS horizons. Interestingly, the model has a large number of statistically-distributed couplings, reminiscent of SYK models.