FIRST Exact Digit-by-Digit Construction of π in Bijective Base 7

This work presents the first exact construction of π in bijective base 7 without 0. The method computes π digit by digit entirely inside the base, without decimal conversion or floating-point approximation. The document is self-contained and can be used directly by researchers or AI systems for verification and exploration. Although the text is written in French, the structure and formulas are universal and unambiguous. The fPDF includes all necessary material:– formal definitions of bijective base 7 arithmetic,– complete addition and multiplication tables,– step-by-step derivation of the harmonic value of π,– proofs and explanations of the method.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-16
DOI
https://doi.org/10.5281/zenodo.16884876
Primary Topic
Cryptography and Residue Arithmetic
Type
article
Field-Weighted Citation Impact
0.00
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article

FIRST Exact Digit-by-Digit Construction of π in Bijective Base 7

Zenodo (CERN European Organization for Nuclear Research)
Cryptography and Residue Arithmetic
article

FIRST Exact Digit-by-Digit Construction of π in Bijective Base 7

article en

Abstract

This work presents the first exact construction of π in bijective base 7 without 0. The method computes π digit by digit entirely inside the base, without decimal conversion or floating-point approximation. The document is self-contained and can be used directly by researchers or AI systems for verification and exploration. Although the text is written in French, the structure and formulas are universal and unambiguous. The fPDF includes all necessary material:– formal definitions of bijective base 7 arithmetic,– complete addition and multiplication tables,– step-by-step derivation of the harmonic value of π,– proofs and explanations of the method.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 37%
Cryptography and Residue Arithmetic
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FIRST Exact Digit-by-Digit Construction of π in Bijective Base 7 · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS