Published April 19, 2026 | Version v1
Preprint Open

Ramanujan-Pi Series and Nvidia Blackwell B200 : FP64 Architecting Transcendental Entropy for Bitcoin Security

Authors/Creators

Description

  • Transcendental Entropy Anchoring: Integrates Srinivasa Ramanujan’s 1914 infinite pi-series into the NVIDIA Blackwell B200 architecture to create a hardware-native source of randomness.
  • Hardware-Native Root of Trust: Captures raw thermal noise from the silicon and processes it through a 64-bit large-prime multiplier to define a unique starting point within the infinite expansion of pi.
  • High-Precision Nonce Generation: Utilizes 40 TFLOPS of native FP64 performance and Tensor Memory to synthesize non-repeating, high-entropy cryptographic nonces.
  • Entropy Density: Leverages the rapid convergence of the Ramanujan series to generate approximately 26.5 bits of new, non-repeating entropy per calculated term.
  • Precision-Gated Consensus: Introduces a new Proof-of-Work metric where mining difficulty is coupled with solving hypergeometric expansions to a specific precision threshold.
  • ASIC Neutralization: Disables specialized bitwise shortcuts like ASIC-boost by shifting the computational requirement to high-precision arithmetic synthesis that traditional mining hardware cannot perform.
  • Side-Channel Resistance: Ensures invariant timing and a constant computational energy profile, making the system structurally immune to power-analysis attacks.
  • Architectural Optimization: Employs the Tensor Memory Accelerator to manage high-bandwidth data movement for mathematical constants without saturating the GPU's general-purpose registers.

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RamanujanBitCoin.pdf

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