What is H2E Sheriff? H2E Sheriff is a real-time governance layer that sits between a Large Language Model (LLM) and a world model (e.g., ViT). It computes a Safety-Resonance Overlap Index (SROI) from the alignment between the LLM's hidden intent vector and the world model's state embedding, projected through a spectral manifold built from the first 50 Riemann zeta zeros. When SROI falls below a safety threshold, an irreversible hard stop is triggered — no exceptions, no retries. Why the Riemann zeta zeros? The set {γ_n} (imaginary parts of nontrivial zeta zeros) is not arbitrary. It inherits five certified spectral properties from an explicit Hilbert–Polya operator constructed in prior work [1]: Real spectrum → SROI comparisons are ordered Discrete spectrum → finite truncation is faithful Simplicity (no repeated eigenvalues) → manifold snapping is unambiguous Essential self-adjointness → spectral decomposition is unique Hilbert domain with renormalized inner product → projections are well-posed Without these properties, any safety manifold is heuristic. With them, H2E Sheriff is mathematically grounded. What does H2E Sheriff achieve? Metric Result UNESCO Resilient AI Challenge Elite-level certification across audio, text, and vision Safety violations Zero (simulation, aerospace ECLSS, Basel IV finance) METEOR (audio) 1.0000 (perfect) METEOR (text) 0.9964 METEOR (vision) 0.983 Hard stop Irreversible, deterministic, no stochastic bypass What this paper provides Complete architectural specification of H2E Sheriff Mathematical derivation of the spectral manifold H = Q diag(γ₁…γ₅₀) Qᵀ Formal definition of the SROI metric and governance gate Empirical validation with ground truth models on Hugging Face Dependency analysis showing H2E inherits rigor from [1], not from RH or HPC Engineering innovations validated in the UNESCO challenge Surgical GPU warmup (Voxtral-Mini-4B): neutralizes cold-start penalties 19-layer FP8 architecture (Sarvam-30B): 98.4% alignment, zero violations Deterministic manifold snapping (Gemma-4-E4B): 4-bit precision preserves Λ = 0.9583 Ground truth models (Hugging Face) Audio: frankmorales2020/voxtral-mini-4b-unesco-audio Text: frankmorales2020/sarvam-30b-fp8-unesco-resilient Vision: frankmorales2020/gemma-4-e4b-unesco-optimized Who should read this AI safety engineers building governance layers for agentic systems Researchers in spectral methods for alignment and control ML engineers seeking deterministic, hardware-resilient safety gates Reviewers of the H2E submission to Nature Methods (NMETH-A66001) Related Zenodo papers in this ecosystem [1] An Explicit Hilbert–Polya Operator from Prime Shift Operators (10.5281/zenodo.19842593) — provides the mathematical certification [2] The Prime Resonance Ecosystem: A Spectral Framework for the Riemann Hypothesis (10.5281/zenodo.19855325) — research roadmap, not required for H2E Citation bibtex @misc{morales2026h2esheriff, title={H2E Sheriff: A Spectral Governance Layer for Agentic AI -- Integrating LLM and World Model via Riemann Zeta Manifolds}, author={Morales Aguilera, Frank}, year={2026}, month={April}, doi={10.5281/zenodo.19867683}, note={Zenodo preprint} } License CC BY 4.0