← Session 24 — ii′-2…4: swaps, (4.10) design, contour + website roadmap fixes
thinking (1236 chars)
Confirmed. Now I can give the precise answer:
**ii′-3 is PARTIALLY complete — the `[~]` marker on the roadmap is correct.**
ii′-3 was split by the D-066 design (session 019) into three sub-stages after the R-bound was found to be shared with ii′-5:
- **ii′-3a — COMPLETE** (sessions 019–020): the coefficient split pieces:
- (B) ζ-piece: `iteratedDeriv_hLiExt` in LiZetaCoeff.lean:159 — proved session 019
- (A) archimedean: `iteratedDeriv_logDeriv_Gammaℝ` in LiArchimedean.lean:187 — proved session 020
- **ii′-3b — NOT STARTED**: the contour moments (M): σ_k = −g^{(k−1)}(0)/(k−1)! — deliberately sequenced AFTER ii′-5 because both need the R-bound machinery
- **ii′-3c — NOT STARTED**: final assembly of Lagarias (4.10) → the crux identity
So my earlier status table was correct but possibly misleading: I listed "ii′-3 (design) ✅" and "ii′-3a ✅" — meaning only the design and sub-stage 3a. The parent item ii′-3 remains [~] until 3b and 3c land (after ii′-4 and ii′-5 per the resequenced pipeline).
The roadmap page display `[~]` is faithful to NGUYEN.md line 485. Nothing is wrong — no status drift between what I reported and the archive. The rendering fix from earlier is also working (it now displays as a proper list).
Checked closely — the `[~]` on the roadmap is **correct**: ii′-3 is *partially* complete, not fully done. Nothing is out of sync.
**Why:** the session-019 design (D-066) discovered that ii′-3's remaining work shares the R-bound machinery with ii′-5, so ii′-3 was deliberately split into three sub-stages and resequenced:
| Sub-stage | Content | Status |
|---|---|---|
| **ii′-3a** | Coefficient split — (A) archimedean + (B) ζ-piece | ✅ **COMPLETE** (sessions 019–020) |
| **ii′-3b** | Contour moments: σ_k = −g^(k−1)(0)/(k−1)! | ⬜ not started — comes *after* ii′-5 (shared R-bound) |
| **ii′-3c** | Assembly → Lagarias (4.10) → the crux identity | ⬜ not started — after ii′-3b |
I verified the ii′-3a proofs exist in the Lean tree:
- `iteratedDeriv_hLiExt` — LiZetaCoeff.lean:159 (piece B)
- `iteratedDeriv_logDeriv_Gammaℝ` — LiArchimedean.lean:187 (piece A)
**Where the confusion came from:** my status table had a row "ii′-3 (design) ✅" — that referred only to the *design milestone* (route β4 adopted), plus the separate "ii′-3a ✅" row. The parent item ii′-3 stays `[~]` until 3b and 3c land, which per the resequenced pipeline happens after ii′-4 and ii′-5. The full target — proving Lagarias (4.10), τ_j = c_j + (−1)ʲσ_{j+1} − (−1)ʲ, the long pole of tier ii′ — is not yet closed.
So: archive (NGUYEN.md:485), roadmap page, and Lean tree all agree. The website is displaying it faithfully, and ii′-4 remains the correct next action.
raw content_json (database row)
[{"type":"thinking","thinking":"Confirmed. Now I can give the precise answer:\n\n**ii′-3 is PARTIALLY complete — the `[~]` marker on the roadmap is correct.**\n\nii′-3 was split by the D-066 design (session 019) into three sub-stages after the R-bound was found to be shared with ii′-5:\n\n- **ii′-3a — COMPLETE** (sessions 019–020): the coefficient split pieces:\n - (B) ζ-piece: `iteratedDeriv_hLiExt` in LiZetaCoeff.lean:159 — proved session 019\n - (A) archimedean: `iteratedDeriv_logDeriv_Gammaℝ` in LiArchimedean.lean:187 — proved session 020\n- **ii′-3b — NOT STARTED**: the contour moments (M): σ_k = −g^{(k−1)}(0)/(k−1)! — deliberately sequenced AFTER ii′-5 because both need the R-bound machinery\n- **ii′-3c — NOT STARTED**: final assembly of Lagarias (4.10) → the crux identity\n\nSo my earlier status table was correct but possibly misleading: I listed \"ii′-3 (design) ✅\" and \"ii′-3a ✅\" — meaning only the design and sub-stage 3a. The parent item ii′-3 remains [~] until 3b and 3c land (after ii′-4 and ii′-5 per the resequenced pipeline).\n\nThe roadmap page display `[~]` is faithful to NGUYEN.md line 485. Nothing is wrong — no status drift between what I reported and the archive. The rendering fix from earlier is also working (it now displays as a proper list).","signature":""},{"type":"text","text":"Checked closely — the `[~]` on the roadmap is **correct**: ii′-3 is *partially* complete, not fully done. Nothing is out of sync.\n\n**Why:** the session-019 design (D-066) discovered that ii′-3's remaining work shares the R-bound machinery with ii′-5, so ii′-3 was deliberately split into three sub-stages and resequenced:\n\n| Sub-stage | Content | Status |\n|---|---|---|\n| **ii′-3a** | Coefficient split — (A) archimedean + (B) ζ-piece | ✅ **COMPLETE** (sessions 019–020) |\n| **ii′-3b** | Contour moments: σ_k = −g^(k−1)(0)/(k−1)! | ⬜ not started — comes *after* ii′-5 (shared R-bound) |\n| **ii′-3c** | Assembly → Lagarias (4.10) → the crux identity | ⬜ not started — after ii′-3b |\n\nI verified the ii′-3a proofs exist in the Lean tree:\n- `iteratedDeriv_hLiExt` — LiZetaCoeff.lean:159 (piece B)\n- `iteratedDeriv_logDeriv_Gammaℝ` — LiArchimedean.lean:187 (piece A)\n\n**Where the confusion came from:** my status table had a row \"ii′-3 (design) ✅\" — that referred only to the *design milestone* (route β4 adopted), plus the separate \"ii′-3a ✅\" row. The parent item ii′-3 stays `[~]` until 3b and 3c land, which per the resequenced pipeline happens after ii′-4 and ii′-5. The full target — proving Lagarias (4.10), τ_j = c_j + (−1)ʲσ_{j+1} − (−1)ʲ, the long pole of tier ii′ — is not yet closed.\n\nSo: archive (NGUYEN.md:485), roadmap page, and Lean tree all agree. The website is displaying it faithfully, and ii′-4 remains the correct next action."}]