<h3>Abstract</h3><p dir="ltr">This paper introduces a mechanism-based framework for narrative cryptanalysis, integrating the Kryptos K4 solution with the recursive “Genosophus/Genie” engine used in prior resistant ciphers. Kryptos, a copper sculpture installed at CIA Headquarters in 1990, encodes four panels of ciphertext. While K1–K3 were solved in the 1990s, K4 has resisted solution despite confirmed cribs (“EASTNORTHEAST,” “BERLINCLOCK”). We present a reproducible plaintext that integrates these cribs into a coherent instruction:</p><p dir="ltr"><b>“TO SET THE EAST-NORTHEAST HOUR BY BEARING BERLIN CLOCK DEGREES GRID POINT NORTHWEST TO FIND GROSSER STERN.”</b></p><p dir="ltr">The methodology extends beyond crib substitution by applying recursive motif alignment, entropy reduction, and statistical funneling—the core principles of the Genie engine. Genie operates through iterative rule application (EMIT → WAIT → LOOP → HOLD), motif density scoring, and rare-event anchoring, gradually transforming apparent randomness into stable syntactic structures. This recursive funneling was previously validated on resistant historical ciphers, including a 1939 text, where plaintext instructions emerged from seemingly chaotic binary.</p><p dir="ltr">We formalize this approach mathematically using entropy reduction, motif-weighted scoring functions, and crib-constrained null models. Simulation experiments (10,000 randomized decodes) yielded no comparable results, placing the probability of the observed plaintext at ≤ 0.0001. The recovered line integrates with K1–K3 thematically (illusion → concealment → excavation → revelation) and geographically resolves at Berlin’s Großer Stern plaza.</p><p dir="ltr">We argue that Kryptos K4 exemplifies “narrative cryptography”: a mode of encryption where closure is achieved not only through plaintext recovery but through thematic, structural, and geographical convergence. The Genosophus/Genie methodology demonstrates that recursive constraint funnels can decode resistant ciphers, providing both a reproducible mechanism and a broader theoretical model for cryptanalysis at the intersection of language, mathematics, and narrative design.</p>