## Problem 125 — rank:142

**Title:** Cell-fate landscape

**Added binding assumptions (LaTeX):**

```latex
Use pairwise disjoint fate sets and require finite first arrival; otherwise all infinite hitting times can incorrectly count as every fate. A finite experimental horizon needs an additional uncommitted outcome. Define the density reference measure for $U$, restrict the stationary law to a fixed input, and initialize transient-signal predictions explicitly. A potential inferred from snapshots does not determine the probability current or the intervention dynamics.
```

**Direct edits:** 1. **Fresh external checks:** None; supplied sources retained as provenance.