ITU Tier 1+ #24: Pure Mathematics (Kₘath)

Tier 1+ Pass-1. 5 paper 24 of 45. ITU-derived pure mathematics unifying logic + structure + proof + metamath. Defines Kₘath = -log ρₘath as the operator-algebraic modular Hamiltonian on Hₐxiom ⊗ Hₗogic ⊗ Hₛtructure ⊗ Hₚroof ⊗ Hₘetamath. Kₘath inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Wiles 1994 Fermat, Perelman 2002-3 Poincare/Geometrization Fields refused 2006, Mochizuki 2012 IUT contested. Topics covered. Wiles Fermat, Perelman Poincare-Geometrization, Mochizuki IUT contested, RH unproven Clay 1M, Yang-Mills mass gap Clay, P vs NP. 45-vertex polytope #24 top couplings: #17 KQG (0. 95), #22 MathPhys (0. 92), #25 Holo (0. 92), #43 Meta (0. 95). Ten falsifiable predictions: Pₐvg=0. 65: arXiv 2026 (0. 90 S), RH LLM-assisted attempt 2030 (0. 30 W), Lean Mathlib ITU lib 2027 (0. 65 M). Pass-2 roadmap: ~2M: Math analytics (700K) + Lean Mathlib (300K) + Math research collab (1M). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.