  We consider a version of the Hayden-Preskill thought experiment in which the
message thrown into the black hole is itself a smaller black hole. We then
discuss the implications of the existence of a recovery channel for this black
hole message at asymptotic infinity, resulting in a sharpening of the black
hole information paradox for observers who never need to approach a horizon. We
suggest decoherence mechanisms as a way of resolving this sharpened paradox.
