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← Session 3 — Project kickoff: RH blueprint, staged workflow + archive design

#156 assistant 2026-08-18 01:27:19.740 UTC · 552→431 tok open ⤢
thinking (194 chars)
Clean state at bd08eec. Give the resume briefing concisely: where we left off, what's next (E-009), and current time 18:27 (past 5pm — it's evening; user is back presumably for another session).
All clean — nothing lost, tree committed at `bd08eec`. Here's exactly where we left off: ## Resume point (from STATE.md) **Just finished (Session 002):** Track C opened and mapped. The big find: **Suzuki's 2026 paper** — self-adjoint operators A_a on intervals [−a,a] with *provably real* spectra (his Thm 1.5, unconditional), where a single convergence statement (Cor 1.6) would imply RH. We extracted his screw function g(t) exactly and confirmed it's fully mpmath-computable. Scoped in D-018. **Next action queued:** **E-009** — put Suzuki's operator on the bench: 1. **E-009a**: implement g(t) in mpmath, validate against the paper's own expansion (eq. 2.2) as a self-test. 2. **E-009b**: discretize the operator (Galerkin, hat functions), compute its bottom eigenvalues, and **compare against the actual zero ordinates** from our table — the moment of truth for whether this operator's spectrum marches toward the γ_n. 3. **D-019**: analysis — does our second-moment machinery have anything to say about the Cor 1.6 convergence? **Then the remaining forks** (per your fork rule): Li prime-side formulas, de Bruijn–Newman, T4 (ξ′). **The project ledger:** Phase 0 ✔, Phase 1 ✔ (framework exhausted, 6 walls mapped), Track C mapped with triad done, Track B entry point scoped. 18 D-files, 8 experiments, ~22 commits. Shall I start E-009a?
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[{"type":"thinking","thinking":"Clean state at bd08eec. Give the resume briefing concisely: where we left off, what's next (E-009), and current time 18:27 (past 5pm — it's evening; user is back presumably for another session).","signature":""},{"type":"text","text":"All clean — nothing lost, tree committed at `bd08eec`. Here's exactly where we left off:\n\n## Resume point (from STATE.md)\n\n**Just finished (Session 002):** Track C opened and mapped. The big find: **Suzuki's 2026 paper** — self-adjoint operators A_a on intervals [−a,a] with *provably real* spectra (his Thm 1.5, unconditional), where a single convergence statement (Cor 1.6) would imply RH. We extracted his screw function g(t) exactly and confirmed it's fully mpmath-computable. Scoped in D-018.\n\n**Next action queued:** **E-009** — put Suzuki's operator on the bench:\n1. **E-009a**: implement g(t) in mpmath, validate against the paper's own expansion (eq. 2.2) as a self-test.\n2. **E-009b**: discretize the operator (Galerkin, hat functions), compute its bottom eigenvalues, and **compare against the actual zero ordinates** from our table — the moment of truth for whether this operator's spectrum marches toward the γ_n.\n3. **D-019**: analysis — does our second-moment machinery have anything to say about the Cor 1.6 convergence?\n\n**Then the remaining forks** (per your fork rule): Li prime-side formulas, de Bruijn–Newman, T4 (ξ′).\n\n**The project ledger:** Phase 0 ✔, Phase 1 ✔ (framework exhausted, 6 walls mapped), Track C mapped with triad done, Track B entry point scoped. 18 D-files, 8 experiments, ~22 commits.\n\nShall I start E-009a?"}]