[{"type":"thinking","thinking":"The website shows phases 1, 2, 3, 5 as \"active\" because the phase header markers in NGUYEN.md §5 are `⬜` (not ✅). The dashboard parser (`research_data.py:114`) reads the header marker directly. The checkbox counts also show open/partial items.\n\nLet me enumerate what's actually open per phase based on NGUYEN.md §5 + STATE.md:\n\n**Phase 1** — header ⬜; only open-ish item: 1.2 [~] marked DEFERRED (calibration value only; D-013 rationale). Phase 1 effectively complete: Track A → monitoring mode (D-013 decision gate: NO within current data class). So Phase 1 header could arguably be ✅ or 🔶 with 1.2 deferred.\n\n**Phase 2** — header ⬜; open items:\n- 2.1 [~] PARTIAL (Suzuki A_a Galerkin validated; general Ĥ construction open)\n- 2.2 [ ] Berry–Keating — untouched, unprioritized\n- 2.3 [ ] Poisson–Gabor frame — untouched, unprioritized\n- 2.4 [~] ACTIVE via Suzuki line\n- 2.5 [ ] DECISION GATE — open\n- 2.9 [~] (★) analytic attack — D1 complete, remaining: L1, L3/L4, θ(a) theory\n\nPer STATE.md, Phase 2 was \"mapped to exhaustion at current technology (2.6–2.13)\". The open ones (2.2, 2.3, 2.5) are unprioritized; 2.9 remaining pieces are the honest skeleton (L3/L4) — post-publication / paper B.\n\n**Phase 3** — header ⬜; partial items:\n- 3.1 [~] landscape mapped, resolution-limited — effectively closed by evidence\n- 3.2 [~] numerics to n≤3000 done; \"next: asymptotic attack → 3.5; further pushes only in support of 3.5\" — 3.5 design complete, tasks 3.6–3.8 done. So 3.2's remaining = further pushes (deprioritized)\n- 3.5 [~] design complete; remaining work → 3.6–3.8, all complete. So 3.5 effectively complete.\n\nSTATE.md says \"PHASE 3 (Track C): 3.1–3.8 CLOSED (R-004, full tag)\". So Phase 3 is de facto closed; header just never got flipped to ✅.\n\n**Phase 5** — header ⬜; partial:\n- 5.1 [~] tier (i) ✔, tier (ii) steps 1+2 ✔; remaining: tier ii′ (SfBoundProp contour layers L0–L3 — POST-PUBLICATION), (iii) valley, (iv) Suzuki\n- 5.2 [~] verified live; sorryAx remains only on 5 intended skeletons — that's by design; the audit is ongoing as Lean grows.\n\nSo the answer: the website is accurate to NGUYEN.md's markers; the phases show active because the phase headers are still ⬜ and there are [~]/[ ] items. What's genuinely open:\n\nPhase 1: nothing active — 1.2 deferred by decision (calibration only). Phase effectively closed (monitoring mode).\nPhase 2: 2.2, 2.3 (untouched, unprioritized), 2.5 decision gate (never formally written), 2.9 remainder (L1, L3/L4 — skeleton; post-publication / Paper B), 2.1 general Ĥ open.\nPhase 3: effectively all closed; 3.1/3.2 left at [~] by evidence/deprioritization; 3.5's remaining work was 3.6–3.8, all done → header could be ✅.\nPhase 5: genuinely open — 5.1 tiers ii′ (post-publication), iii (valley), iv (Suzuki); 5.2 ongoing as Lean grows.\n\nAlso note: the website is the website agent's job per memory — I can report findings but edits to web/ are the website agent's domain. However, the underlying data is NGUYEN.md (research file) — updating the phase headers in NGUYEN.md is MY job (research archive, §8.4 end protocol). The dashboard parses NGUYEN.md directly, so flipping markers in NGUYEN.md would fix the website display.\n\nShould I edit NGUYEN.md? The user asked \"can you look into this and tell what are open\" — they asked for investigation and a report, not edits. I'll report and offer to update the markers. Per NGUYEN.md, plan changes are committed with rationale; flipping phase headers is a judgment call for the user.\n\nKeep the answer concise with a clear table of open items.","signature":""},{"type":"text","text":"Found it. The website isn't stale — it parses NGUYEN.md §5 live (`web/dashboard/research_data.py:102-126`): phase status comes from the `✅/⬜` marker in each phase header, plus `[x]/[~]/[ ]` task counts. Phases 1, 2, 3, 5 still have `⬜` headers even though much of their content is done. Here's what's genuinely open in each:\n\n**Phase 1 — effectively closed (Track A in monitoring mode per D-013)**\n- 1.2 `[~]` — DEFERRED by documented decision (calibration value only). Nothing actually open. Header could be ✅.\n\n**Phase 2 — mapped to exhaustion at current technology; the real remaining items:**\n- 2.2 Berry–Keating `[ ]` — untouched, unprioritized\n- 2.3 Poisson–Gabor frame `[ ]` — untouched, unprioritized\n- 2.5 decision gate `[ ]` — never formally written (answer implicitly: no genuine self-adjoint realization yet)\n- 2.9 `[~]` — D1 theorem complete; remaining: L1 (unconditional embedding), L3/L4 (WH assembly — honest skeleton), θ(a) theory. This is Paper B territory / post-publication.\n- 2.1 general Ĥ construction — open but unpursued\n\n**Phase 3 — de facto closed (STATE.md: \"3.1–3.8 CLOSED\")**\n- 3.1 `[~]` resolution-limited by evidence; 3.2 `[~]` further pushes deprioritized (only in support of 3.5); 3.5 `[~]` design complete and its remaining work (3.6–3.8) all done. Header could be ✅.\n\n**Phase 5 — genuinely open (the only one with real active work)**\n- 5.1 `[~]` — tiers (i), (ii) steps 1+2 proved; remaining: tier ii′ (SfBoundProp contour layers L0–L3, post-publication), tier iii (valley), tier iv (Suzuki)\n- 5.2 `[~]` — verified live and clean; marker stays partial because sorryAx intentionally remains on the 5 skeleton statements (tiers iii/iv), so the audit re-runs as Lean grows\n\nSo the website is \"right\" only for Phase 5. Phases 1 and 3 are finished-but-unmarked; Phase 2's open items are deliberate parking (2.2/2.3/2.5) plus the Paper B skeleton (2.9).\n\nThis is a NGUYEN.md data issue, not a website bug — the dashboard faithfully renders what §5 says. Want me to update the phase headers in NGUYEN.md (1 → ✅ with 1.2 marked deferred, 3 → ✅, 5 stays ⬜, and annotate 2 as \"mapped to exhaustion — parked items listed\")? That's a research-archive edit I can make and commit with rationale; the website will pick it up automatically."}]