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The Grothendieck Constant is Less Than $\fracπ{2 \log (1+ \sqrt{2})} - 10^{-5}$

Theory of Computing Report June 3, 2026
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Authors: Alan Li, Rahul Saha, Anton Xue, Adam Klivans, Pravesh K Kothari, Raghu Meka, Swarat Chaudhury

We prove that the Grothendieck constant $K_G < $\fracπ{2 \log (1+ \sqrt{2})} - 10^{-5}$. This improves on the work of braverman et. al.

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