Pi's decimal digits, fed into a Monte Carlo circle-area estimator, reproduce pi as 3.14159313 ± 0.00000035, confirming the digits' practical randomness at record scale.
On the Rapid Computation of Various Polylogarithmic Constants,
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Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits
Pi's decimal digits, fed into a Monte Carlo circle-area estimator, reproduce pi as 3.14159313 ± 0.00000035, confirming the digits' practical randomness at record scale.