Digit block frequencies in 600 billion digits of Catalan's constant and the lemniscate arc length match the expected random distribution within about two standard deviations.
The Lemniscate Constants, pages 412--417
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Normality Analysis of Current World Record Computations for Catalan's Constant and Arc Length of a Lemniscate with $a=1$
Digit block frequencies in 600 billion digits of Catalan's constant and the lemniscate arc length match the expected random distribution within about two standard deviations.