A Click’s Most Important Digit Carried the Warning

GUI agents emit click coordinates as digit tokens, but uncertainty in the leading digits can matter much more than uncertainty in later digits when a click must land inside a target box. A new method, Place-Aware Coordinate Entropy, weights each digit's entropy by its place value. On ScreenSpot-Pro and ScreenSpot-v2 with fixed-scale agents, it improved both error ranking and selective accuracy across the authors' primary comparisons in one forward pass, matching or beating some methods that sample multiple clicks. The result concerns benchmark click confidence, not general reliability across all user interfaces.