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Small-computer studies disagree with theories built on rare thermal patches.","posed_since":"","precise":"Assuming $W_{c}$ exists for the random-field Heisenberg chain, determine $W_{c}/J$ and the scaling near the transition (Kosterlitz-Thouless-like versus a finite correlation-length exponent $\\nu$, subject to the Harris-Chayes bound $\\nu \\ge 2$ in $d = 1$). Answer: $W_{c}$ with uncertainty and the scaling form of the characteristic length near $W_{c}$.","problem_ref":null,"references":"","settled_by":"Avalanche-stability numerics (chain coupled to an ideal bath at one end) extrapolated with a controlled scaling theory and consistent with renormalization-group predictions.","status_note":"","title":"Critical disorder and universality class of the MBL 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