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It is unknown whether an ordinary non-random lattice with short-range interactions can behave the same way at low temperature.","posed_since":"","precise":"Find a translation-invariant lattice Hamiltonian with finite-range interactions and no quenched disorder whose low-temperature regime shows SYK signatures: fermion Green function $G(\\tau) \\sim \\tau^{-1/2}$ over a parametrically wide window, a large residual entropy density before a crossover scale, and Lyapunov exponent approaching $2 \\pi k_{B} T/\\hbar$. Answer: an explicit model with controlled evidence, or an argument that none exists.","problem_ref":null,"references":"","settled_by":"Controlled numerics or an exact solution demonstrating these three signatures in a specific clean model.","status_note":"","title":"A clean local lattice model with SYK low-energy 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