Object. The exact-to-machine spectral certification chain.
Type. Finite operator morphism $V_2^{\otimes 3}\to C\to K\to Q\to E_{47}\to P_{47}$.
Identity. Rank $47$ is recovered from $\chi_{\{6,30\}}(C)$ on the independently reconstructed spin-2 cube. Casimir eigenspace dimensions $(1,9,25,28,27,22,13)$ sum to $125$; selected sectors $25+22=47$.
Parents (legacy lineage). E47-KERNEL-47 · E47-PROJECTOR · E47 Optimal Contraction Architecture · E47-QOP-INDEPENDENT-20260911.
Evidence. E0 + E1. Certificate MC-PF-20260913 · 120/120 PASS.
Boundary. Not a hardware execution, not QEC, not a physical constant.