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Measuring the scrambling rate in a cold many-body state would test the chaos bound directly.","posed_since":"","precise":"In a quantum simulator realizing a nonintegrable lattice model (e.g. 2D Bose-Hubbard at $U/J \\sim 10$ or a Rydberg array), measure the regularized thermal OTOC growth rate $\\lambda_{L}(T)$ for $k_{B}T$ below the bandwidth using a time-reversal protocol. Answer: $\\lambda_{L}(T)$ with error bars over a factor of 5 in T, compared with $2\\pi k_{B}T/\\hbar$.","problem_ref":null,"references":"","settled_by":"An experiment preparing thermal states at several temperatures and extracting an exponential OTOC growth window at each.","status_note":"OTOC experiments to date (trapped ions, superconducting processors) probe effectively infinite-temperature or circuit states.","title":"Measured Lyapunov exponent versus temperature in a quantum 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