WZW Quantization on Pin+ Manifolds Anderson Dual Classification and Inv4 Pin+(BSU(3)) ∼= Z2 ⊕ Z16

Strong CP Problem Series-Paper 5, End paper Strong CP papers 1-4 are sufficient to solve most of the problems in strong CP. This paper serves as an additional independent path supplement and is not necessary. We compute the Anderson dual classification of Wess-Zumino-Witten (WZW) terms on Pin⁺ manifolds with SU(3) gauge group. Using the Atiyah-Hirzebruch spectral sequence, we determine Ω4Pin+(BSU(3))≅Z2⊕Z16 and Ω5Pin+(BSU(3))≅Z2. The Anderson dual short exact sequence then yields Inv4Pin+(BSU(3))≅Z2⊕Z16, where the Z16 factor classifies discrete WZW quantization conditions. We show that the Spin→Pin⁺ transition fundamentally changes WZW quantization: the free part (continuous coupling) vanishes, replaced by torsion Z16 classification (discrete quantization). The Dai-Freed correction exp(πik/8) on the k-th bordism class is identified as the WZW topological term, inducing the chiral shift Σ0(k)=e−iθF(k)τ3/Nf with θF(k)=πk/8