[{"type":"thinking","thinking":"20:51 local — well past 5 PM. Per §8.5 BREAK PROMPT, I should pause and ask the user whether to continue, take a break, or log off. The state is clean and committed (last commit caf0cb2), so stopping is safe anytime. Session 011 has progress not yet journaled (chain rule + Bernoulli lemmas). If the user wants to stop, I'll run the end protocol (journal update, STATE, commit).\n\nAsk now.","signature":""},{"type":"text","text":"It's 20:51 — well past the 5 PM pacing mark, so per your standing directive I'm pausing to check in. Current state is **safe and committed** (`caf0cb2`): \n\n- `chain_rule_sqrt_shift` — PROVED (first sorry gone, 9→8)\n- `bern_term_nonneg` + `bern_term_upper` — PROVED (the D-037 pointwise bounds)\n- Remaining for `sInfty_lower_bound`: summability + finite-cutoff + odd-harmonic identity + log estimates + assembly (the chain is fully mapped; each step has verified Mathlib lemma names)"},{"type":"tool_use","id":"AskUserQuestion_212","name":"AskUserQuestion","input":{"questions":[{"question":"It's 20:51 — how do you want to proceed?","header":"Pacing","multiSelect":false,"options":[{"label":"Continue working","description":"Keep going on the sInfty_lower_bound chain (summability, cutoff, harmonic identity, assembly)."},{"label":"Log off cleanly","description":"Run the session-end protocol now: journal, STATE.md, NGUYEN.md updates, final commit. Resume next session."},{"label":"Take a break","description":"Pause here; everything is committed, so nothing is lost. Say 'continue' when you're back."}]}]},"extra_content":null}]