Formal Submission Manuscript - Hutter Prize & Erdős Conjectures - Sylvaunte Dequan Z Warren

Extending the architectural scope of the Warren Meta-Functional (\mathcal{S}_{\text{Warren}}), this formal manuscript establishes rigorous analytical frameworks for the Hutter Prize (high-ratio text compression via semantic entropy bounds) and the Erdős Conjectures (combinatorial graph coloring and density bounds). By integrating multi-tier neural context mixing with continuous Laplacian spectra and global stability invariants, this work bridges information compression and combinatorial number theory under the universal Warren Operator framework.