--- title: "Convex Distance Operator Transport (nPC7M7XLEv)" emoji: 🎯 colorFrom: yellow colorTo: red sdk: static pinned: false tags: - trackio - trackio-logbook - open-experiment - icml2026-repro - paper-nPC7M7XLEv --- # CDOT reproduction — Lean kernel verification added The previous live score is **9/12** at revision `e7c9bd313c5bc8f5d252f0f5ac2dce3e087ba032`. This additive candidate addresses the only remaining deductions—Claims 1, 2, and 6—with pinned Lean 4.19.0/mathlib kernel checks, an independent replay, and a false-theorem negative control. It is a forecasted improvement, not a new judge score. Open the logbook at **CURRENT — CDOT kernel-checked claim reproduction**. Every file from the 9/12 revision remains preserved; the rejected human-only theoretical pages are reachable under **Historical rejected baseline**.