← Session 3 — Project kickoff: RH blueprint, staged workflow + archive design
thinking (252 chars)
Committed. Report to user and present the three options for the next sub-stage (D-015 §4): (a) E-007 extended precision [recommended], (b) Q-3.4a analytic, (c) task 3.2 Li coefficients. It's 3:47 PM — approaching but not yet near 5. Ask user to choose.
Committed (`4335f19`). Status: Track C is now mapped and the first measurement is banked.
**Where we stand in Track C:**
- **D-014** — the 2026 landscape (Suzuki, Groskin, Kim et al., Connes) and our unoccupied niche: we hold the only *unconditional second-moment input*; they hold the truncation/certification language. The intersection is ours to exploit.
- **E-006/D-015** — the positivity horizon is beyond float64's reach (floor ~1e-10 flat), and the truncation is genuinely ill-conditioned even at bandwidth 1. This validates Groskin's exact-arithmetic approach and gives the obstruction map a new quantitative entry.
**Three options for the next sub-stage** (from D-015 §4):
| Option | What it does | Type |
|---|---|---|
| **(a) E-007** (recommended) | Extended-precision (mpmath) floor measurement at small dimension — actually answers the horizon question: does λ_min decay superexponentially with support? | Numerical (~minutes) |
| **(b) Q-3.4a** | Pen-and-paper: does our unconditional n₊ lower bound shrink Groskin's indeterminate zone [−B_T, 0)? | Analytic |
| **(c) Task 3.2** | Li coefficients λ_n numerics toward n ~ 10⁵ — uses the zero table; different flavor | Numerical |
Which one?
raw content_json (database row)
[{"type":"thinking","thinking":"Committed. Report to user and present the three options for the next sub-stage (D-015 §4): (a) E-007 extended precision [recommended], (b) Q-3.4a analytic, (c) task 3.2 Li coefficients. It's 3:47 PM — approaching but not yet near 5. Ask user to choose.","signature":""},{"type":"text","text":"Committed (`4335f19`). Status: Track C is now mapped and the first measurement is banked.\n\n**Where we stand in Track C:**\n- **D-014** — the 2026 landscape (Suzuki, Groskin, Kim et al., Connes) and our unoccupied niche: we hold the only *unconditional second-moment input*; they hold the truncation/certification language. The intersection is ours to exploit.\n- **E-006/D-015** — the positivity horizon is beyond float64's reach (floor ~1e-10 flat), and the truncation is genuinely ill-conditioned even at bandwidth 1. This validates Groskin's exact-arithmetic approach and gives the obstruction map a new quantitative entry.\n\n**Three options for the next sub-stage** (from D-015 §4):\n\n| Option | What it does | Type |\n|---|---|---|\n| **(a) E-007** (recommended) | Extended-precision (mpmath) floor measurement at small dimension — actually answers the horizon question: does λ_min decay superexponentially with support? | Numerical (~minutes) |\n| **(b) Q-3.4a** | Pen-and-paper: does our unconditional n₊ lower bound shrink Groskin's indeterminate zone [−B_T, 0)? | Analytic |\n| **(c) Task 3.2** | Li coefficients λ_n numerics toward n ~ 10⁵ — uses the zero table; different flavor | Numerical |\n\nWhich one?"}]