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It doesn't seem much like it to me.

Hamilton/Perelman: Hamilton does X. Perelman builds on it to do Y, which solves an important problem. Perelman gets most of the credit and complains that Hamilton ought to get more.

I see two ways to try to map Einstein/Hilbert onto this but neither of them works well.

Einstein/Hilbert #1 (X = differential geometry): Other mathematicians do X. Einstein and Hilbert build on it to get Y, which solves an important problem. Maybe Hilbert gets to Y slightly earlier or slightly later. Einstein gets most of the credit. Hilbert is slightly annoyed.

Einstein/Hilbert #2 (X = early work on general relativity): Einstein does X. Einstein and Hilbert build on it to get Y, which solves an important problem. Maybe Hilbert gets there slightly earlier or slightly later. Einstein gets most of the credit. Hilbert is slightly annoyed.

If you see this as "Einstein, then Hilbert" then the analogy doesn't work because Einstein (earlier) is the one who gets the credit. If you see it as "Hilbert, then Einstein" then it doesn't work because Einstein (later) isn't building on a substantial foundation built by Hilbert (earlier) without Einstein; the foundation is Einstein's for sure, and if Hilbert has priority it's the last step that he got to before Einstein. And in either case it doesn't work because the one who gets the credit is happy to keep it whereas Perelman was really cross that people didn't see how much was due to Hamilton.




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