Modular Spectrum of Pi: reference implementation of the Stride-6 engine. Unifies Chudnovsky's series with DSP polyphase decomposition in Z/6Z. Validated at 100M digits with 95% parallel efficiency. Features a Shared-Nothing architecture to bypass the memory wall and maximize cache alignment.
hpc dsp parallel-computing arbitrary-precision isomorphism riemann-zeta number-theory numerical-analysis shared-nothing exascale mathematical-physics cache-optimization python-performance big-integers pi-calculation memory-wall chudnovsky-algorithm modular-arithmetics z6z stride-6
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Updated
Jul 9, 2026 - Jupyter Notebook