A better measure of academic impact would be number of citations minus 100 times number of publications. (Notice the minus - pubs are a cost.)
Important consideration, but not really. Successful exploration is what gets the most citations by far. (Also, think of the 100 as the epsilon in an epsilon-greedy policy, and choose a better value if needed.)
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“Successful exploration is what gets the most citations by far” - yes, in the current system. I don’t think that assumption will hold once we switch to your proposed system.

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No, it will happen more, because my metric strongly discourages incremental research (i.e., papers with less than 100 citations).
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