Weighted five-point simple-zero refinement of Theorem D of the pinned Zeta23 development (n = 5, gap pressures b = (59, 106, 106, 59)/100000, pair weights saturating every span capacity: 1/2 on span 1, (1/2, 1, 1/2) on span 2, 1 on span 3, 2 on span 4; c = 141/25000, m = 181), through attempt-002's weighted n-point bound. The certificate c <= Fw(W, g) on the nonnegative orthant is a kernel-evaluated bisection over 4-D boxes (10 mirror-symmetric roots, 73912 leaves, checked in 240 independently walked subtrees) whose integer leaf test reads lower bounds for w from the pyramid table of five-point-pyramid (48737 finest cells, each verified by an integer recomputation of attempt-002's cell test proved exact against it). Proved constant (9050000*H - 29205)/9000086 = 0.672985382..., H enclosed to 1.1e-8; candidate 33649269/50000000 = 0.67298538.
κ = (33649269 : ℝ) / 50000000