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E0 COMPOSITE CITIZEN · KARTEKEYA SPINE
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$\mathcal Q[\mathsf{First\!\text{-}\!Principles\ Closure}\mid V_2^{\otimes3}\to C\to K\to E_{47}\to P_{47}\to\Omega_c;\mathbf{Exact};\dim E_{47}=47\land\Omega_c=\frac{47}{125}\land\lim_{t\to\infty}e^{-tK^2}=P_{47}\land\lim_{n\to\infty}(I-\varepsilon K^2)^n=P_{47}\land\operatorname{val}_b\operatorname{enc}_b(\Omega_c)=\Omega_c;E0;0<\varepsilon<\frac1{93312}]$
Route: Kartekeya Spine → Citadel Broadcast
Evidence: E0 exact composite identity
Boundary: Aggregates credentialed identities without replacing their individual citizenship.