I found only **three small wording/organization issues**, none of which look like mathematical blockers: * On page 4, the sentence “The two assumptions displayed are the two computational certificates” is no longer accurate, because the paper itself now classifies **four** perimeter inputs as computational certificates: `RHUpTo`, `LiVerifiedUpTo`, `NoLowZeros`, and `MZeroProp`. I would change it to: **“The two assumptions displayed are the two principal computational inputs appearing in the headline statement.”** Even better, make Theorem 2 say explicitly that the result is subject to the seven perimeter inputs listed in Appendix B. * The introduction says “every numerical input is produced by a deterministic, archived script.” Strictly, Johansson and Platt–Trudgian are external computational inputs. I would write **“every project-generated numerical input is produced by a deterministic, archived script.”** * Appendix A’s heading still lists `E-023` but the final rigorous short-segment certificate is now `E-023b`. I would update the heading/reference to include `E-023b`.