Shamseh Glome v4 is a 4D-informed graph object generated through the PAPP protocol. The model preserves the original Shamseh V4 structure of 24 constant-colatitude shells, Fibonacci / golden-angle point placement, spiral intra-shell connections, and nearest-shell 4D flux edges, replacing the previous linear radial law with a true S³ latitude law. The exported geometry is the orthographic xyz projection of the glome, where each shell radius follows r_xyz = R sin(θ) and the hidden fourth coordinate follows w = R cos(θ). Symmetric shells above and below the equator therefore share the same projected xyz radius while carrying opposite w values, encoded in vertex color. The shell populations follow a sin²(θ) distribution, consistent with the exact latitude weighting on S³ (R² = 0.999992). The result is a discretized 3D graph representation of genuine glome latitude structure — not a conventional 3D sphere — with 110,480 vertices, 728,359 edges, and the hidden 4th dimension explicitly preserved and visible.