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The question is whether some quantity measured on a few sites shows the same sharp kinks.","posed_since":"","precise":"For interacting lattice systems with $N\\to \\infty$, is there a local or few-body observable, or a measurable distribution such as the full counting statistics of the order parameter, whose time dependence is nonanalytic exactly at the DQPT times $t_c$? Answer yes or no, with a construction.","problem_ref":"166b22b14c9e361884742967c062331ab5c36bf173230376e2e35e39dea54931","references":"","settled_by":"A proof or explicit construction in an interacting nonintegrable model, demonstrated in a quantum simulator with more than about 50 sites.","status_note":"","title":"Can a local measurement detect a dynamical transition in large 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