AI agent rediscovers cubic invariant of a degree‑4 Blaschke curve (arXiv:2609.38369v1)
The arXiv preprint reports a case study where an AI agent, given numerical coordinates from 80 boundary configurations of a fixed degree‑4 Blaschke product, fit a homogeneous cubic whose frozen coefficients predict 480 lines for 80 unseen parameters with a recorded RMS scale‑free residual of 8.88×10⁻¹⁷. A deterministic degree‑search baseline also recovers the same cubic and a separate single‑configuration run failed to find evidence of invariance, so the experiment proposes a protocol for separating conjecture, numerical validation, and proof without establishing an advantage for the agent over polynomial fitting.