Powered by OpenAIRE graph
Found an issue? Give us feedback
addClaim

exact-pi: a dependency-free TypeScript engine for exact decimal prefixes of pi, triple cross-verified to ten million digits

Authors: Ghosh, Sagnik; Sarkar, Evan;

exact-pi: a dependency-free TypeScript engine for exact decimal prefixes of pi, triple cross-verified to ten million digits

Abstract

Computes exact truncated decimal prefixes of pi (verified to ten million digits against independent published references) using the Chudnovsky series evaluated by binary splitting over native BigInt, with zero runtime dependencies. Correctness is enforced by a guard-band truncation protocol and cross-verified by Machin's formula, BBP hexadecimal digit extraction, and SHA-256 output certificates. Companion code for the preprint by Ghosh & Sarkar (2026).

Keywords

BigInt, pi, chudnovsky algorithm, binary splitting, verification, BBP formula, TypeScript, arbitrary precision arithmetic

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average