## Validate interval widths relatively when checking significant digits What happened: the T618 readback checker initially compared a Sage MPFR endpoint/diameter with an interval-field threshold, which raises a coercion error. After matching the threshold's type, a single absolute width cutoff still rejected valid 100-significant-digit companion values of order 10^3. The checker now checks positive finite intervals and bounds diameter/lower endpoint, using a scalar threshold of the same real-field type. A preflight on every stored companion row and both cross-table identities passed. Neither failure indicated a wrong stored number. What the skill says now: verify finiteness and that the radius is small enough to mean something before trusting interval overlap. What it should say: for a significant-digit claim across varying magnitudes, use a relative width check away from zero; reserve absolute widths for a stated absolute-error goal. Compare endpoints and scalar thresholds in a compatible ring. Near zero needs a separate absolute-error criterion. Evidence: T618's readback_checks.py, preflight-readback.log, and the preserved failed readback.log. This is proposed guidance for a person to evaluate with a test, not an edit to the canonical skill or an independent critique.