Pith. sign in

REVIEW 2 cited by

Digit Statistics of the First 22.4 Trillion Decimal Digits of Pi

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1612.00489 v1 pith:SRVJPKAQ submitted 2016-11-30 math.NT

Peter Trueb This is my paper · ORCID
classification math.NT
keywords basedecimaldigitsfrequenciesbasesbeencheckcomputed
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

The mathematical constant pi has recently been computed up to 22,459,157,718,361 decimal and 18,651,926,753,033 hexadecimal digits. As a simple check for the normality of pi, the frequencies of all sequences with length one, two and three in the base 10 and base 16 representations are extracted. All evaluated frequencies are found to be consistent with the hypothesis of pi being a normal number in these bases.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Normality Analysis of Current World Record Computations for Catalan's Constant and Arc Length of a Lemniscate with $a=1$

    math.GM 2019-08 conditional novelty 5.0 of 10

    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.

  2. Can $\pi$ generate itself? A Monte Carlo analysis of 314 trillion digits

    math.GM 2026-08 conditional novelty 4.0 of 10

    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.

Pith tools