[{"type":"thinking","thinking":"Everything checks out:\n- Formal letter head: sender block, date (August 27, 2026 — tomorrow), recipient block, salutation\n- Body exact (inline math is in OMML so text runs show empty where math sits — \"Let  denote\" is the inline τ_n equation, correct)\n- 4 numbered questions\n- Sincerely + 2 blank signature lines + sign-off block with all source lines\n\nNote: recipient block truncated in display (\"A\" = \"Ann Arbor, MI 48109\" wrapped). Fine.\n\nReport concisely. Mention the recipient block I added (they should verify), date used, and that files are uncommitted.","signature":""},{"type":"text","text":"Done. **`research/paper/Letter_To_Professor_Lagarias.docx`** — formal block-style letter, dated **August 27, 2026** (tomorrow).\n\nLayout:\n- Sender block (Dan T. Nguyen / Independent researcher) → date → recipient block → salutation → exact letter body → \"Sincerely,\" → signature space → sign-off block with your placeholder lines\n- All 7 display equations and 13 inline math segments are native Word equations; all 4 numbered questions auto-numbered; `**not**`, italics, and code spans preserved\n\nOne thing to verify before sending: the source had no recipient address, so I added a standard one — **Professor Jeffrey C. Lagarias, Department of Mathematics, University of Michigan, Ann Arbor, MI 48109**. Edit in Word if you'd prefer a different form (or delete the block).\n\nBuilder script saved as `research/paper/build_letter_docx.py` (reuses the note converter's math pipeline; both scripts re-runnable). Nothing committed — these look like correspondence-package companions, so git inclusion is your call."}]