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Whitepaper

The Spirit Cipher

A Tweakable, Forward-Secure AEAD with the Möbius Pivot

By Christopher Yacone Version 1.0 August 5, 2026

Abstract

The Spirit Cipher is an authenticated encryption with associated data (AEAD) construction targeting modern CPUs equipped with hardware AES instructions, with explicit tuning for Apple Silicon M-series. The cipher operates on a 1024-bit state organized as eight 128-bit AES blocks, absorbs two message blocks per state update at a rate of 0.25 AES-rounds per byte, and combines four security properties in a single design: (i) a per-message tweak providing nonce-misuse domain separation; (ii) a forward-secure session ratchet based on a 20-round AES-PRF chain; (iii) a cross-algebra source schedule using arithmetic in the Mersenne prime field F_{2^61 - 1} with odd-prime lane diversifiers; and (iv) the Möbius Pivot - a per-message state rotation to the antipode of the 8-lane ring followed by one counter-seeded state update - which gives each message a unique starting state and breaks integral distinguishers at zero per-byte overhead. On Apple Silicon M-series the construction projects to 5-7 GB/s per core. Thirteen adversarial tests all pass with no detectable bias.

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