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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.

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Examples of simultaneous independent breakthroughs

During the summer of 2001, Crew's conjecture in the theory of $p$-adic differential equations was simultaneously proved in three very different ways by André, Kedlaya, and Mebkhout.
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