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The task is to bound its errors using only independent calibrations.","posed_since":"","precise":"Choose a point $(U/t, \\delta, T/t)$ where unbiased numerical methods lose control (for example $U/t = 8, \\delta = 0.1, T/t < 0.1$). Using Hamiltonian learning of t, t', U and harmonic confinement, entropy thermometry, and stability bounds, give a certified error bar on the nearest-neighbour spin correlator $C(1,0)$ and on the density. Answer: an error budget with all sources listed and a total below 5%.","problem_ref":null,"references":"","settled_by":"A published error budget combining in-situ Hamiltonian calibration with a proof or numerical bound on how parameter errors propagate to local observables.","status_note":"","title":"Certified accuracy of a Hubbard simulator where numerics 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