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We calculate the topological susceptibility at 2.5 Tc and 4.1 Tc in SU(3)pure Yang-Mills theory. We define topology with the help of gradient flow andwe largely overcome the problem of poor statistics at high temperatures byapplying a reweighting technique in terms of the topological charge, measuredafter a specific small amount of gradient flow. This allows us to obtain asample of configurations which compares topological sectors with goodstatistics, with enhanced tunneling between topologies. We quote continuumextrapolated results at these two temperatures and conclude that our method isviable and can be extended without new conceptual problems to the case of fullQCD with fermions.

$\chi_{\textrm{top}}(T \gg T_{\textrm{c}})$ in pure-glue QCD through reweighting