One improvement remains available here. Current certificate objects largely identify which route supplied a result rather than carrying a standalone proof witness that another component can independently verify. That is enough for fast in-process dispatch, but less than a proof-carrying result. An optional audit mode could retain exact determinant coefficients, isolating intervals, residual rows, refinement bounds or normalized polynomial witnesses. That would fit particularly well with HyperDRC and HyperCircuit’s emphasis on reviewable evidence.