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Determine whether these sources are magnetar wind nebulae, nebulae inflated by hyper-accreting compact binaries, or accreting intermediate-mass or massive black holes, and test the predicted relation between persistent-source luminosity and $\\mid \\mathrm{RM} \\mid$. Answer: an identification whose predicted decline of persistent flux and RM over decades matches monitoring.","problem_ref":"ede50e876fd5635cf02e228e1c2a93b861c5df0b3ad8b77629bd310e93b7b956","references":"","settled_by":"Decade-long monitoring of persistent-source flux, size and RM for several repeaters, compared with the evolution predicted by each model.","status_note":"2024: a persistent radio source was reported for FRB 20201124A, a third repeater with this feature.","title":"What powers the persistent radio sources around some repeating 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