[{"type":"text","text":"I've read NGUYEN.md and STATE.md. Here's my understanding:\n\n**Project NGUYEN-RH-1** — autonomous, multi-session research to prove (or make maximal rigorous progress on) the Riemann Hypothesis, launched from the Anthropic paper's unconditional ≥2/3 simple-on-line result.\n\n**Architecture:** Four tracks (A: certificate extension, B: spectral/Hilbert–Pólya, C: positivity criteria, D: Lean verification), a strict archive protocol (STATE.md resume point, journals, results/derivations/graveyard files, dual CSV/JSON+SQLite storage, honesty tags on every claim), and standing orders for cross-domain knowledge integration (no-boundaries rule, fork rule, no-rush pacing with sub-stages).\n\n**Current state (end of Session 008, 2026-08-19):**\n- Phases 0–1 complete; Track A saturated at the ~0.682 bandwidth-one ceiling and moved to monitoring mode.\n- **Track C delivered its maximal result:** R-004 (ledger #6) — λ_n > 0 for all n ≤ N₁ = (T₀−1)² ≈ 9.0×10²⁴, an explicit finite-height Li theorem, tagged [PROVED-CONDITIONAL] on computational RH to T₀ = 3×10¹² (Platt–Trudgian).\n- **Track B (Suzuki operator line) is the live front:** the exact factorization W = F·(R₀+R_τ) reduced Suzuki Cor 1.6 to the (★) tail-cancellation conjecture; the resolvent-convergence route (Krein space) is designed (D-034/D-035) with walls W-1/W-2/W-3 mapped.\n- **Next action:** task 2.10 (E-022) — spectral-measure convergence numerics for D_{a,π} vs the atomic measure at the γ's; then 2.9-D1 and 2.11.\n- No blockers; clean state, nothing mid-flight.\n\nUnderstood. Ready when you are — what's the separate project?"}]