[{"type":"thinking","thinking":"Committed. Report and ask about E-005. It's ~2:05pm. Keep it brief.","signature":""},{"type":"text","text":"Committed (`704b590`). Current state:\n\n**Task 1.3 analysis is in the books** with a genuinely sharp picture:\n- The third-moment wall is the *exact coincidence* λ ≤ 2/3 (availability) vs. certificate cap λ (usefulness) — they meet at 2/3.\n- **But** I found a possible escape hatch: oversampled Gabor grids keep the Poisson–Gabor identity exact (I verified this against Lemma 2.1's proof), which could lift the dimension cap.\n\n**E-005 is the decider** — a numerical experiment on the sine-process model that answers: *does an oversampled, reduced-bandwidth Gram matrix with a third moment certify more than 2/3?*\n- If **yes** → we have a concrete theorem path past 2/3 (success criterion 🥇 territory), with remaining work = making the third moment rigorous at that bandwidth (plausible, since it's inside the Rudnick–Sarnak range).\n- If **no** → G-002, another precisely-documented obstruction that further sharpens the map.\n\nEither outcome is valuable. The experiment itself is a moderate Monte Carlo run (builds on E-004's infrastructure — a few minutes of compute).\n\nRun E-005?"}]