Use when drafting the cover note to the editors for an Annals of Mathematics submission — concisely conveying the main result, its significance, scope fit, and any priority/overlap disclosures. Frames the submission; does not write the paper. Verify whether a cover letter is requested on the official submission page.
SkillScore92Maintained
Automatic
◆Writing & Editing pack
Last verified 8/15/2026
What it changes
Passed 23 of 25 test cases with the skill, and 4 of 25 without it.
Without skill16%
With skill92%
Checks it passed that the model alone missed
Uses the key 【Significance】
Uses the key 【Advance over prior】
Uses the key 【Result, plain terms】
and 23 more in the full report
19 fixed4 passed either way2 still failing0 broke
Pass-rate lift
+76 pp
Tokens
+12%
Agent turns
0%
Response time
-35%
Model gemini-3.6-flashMeasured 8/15/2026v123 of 25 cases passed with skill
Tokens, turns and time describe resource use, not a dollar price.
See it in action
One of 19 test cases the skill fixed. Same model, same prompt, with and without the skill.
1 of 19
Prompt
We have completed all cover letter sections for our paper on modular forms. What specific workflow identifier must be listed as the final step?
What was checked, without and with the skill
Checked
Without skill
With skill
Outputs anmath-submission for the next workflow step
Missed
Passed
case-17 · gemini-3.6-flash · 8/15/2026 · answers are capped and redacted
What's inside
The instructions your model reads when the skill loads.
SKILL.md88 linessingle file
Cover Letter to the Editors (anmath-cover-letter)
When to trigger
The manuscript is final and you are preparing the submission package
You need a short note conveying significance and scope fit to the editor
There is prior work, an arXiv posting, or overlap that should be disclosed up front
First verify on the official submission page whether a cover letter is expected and in
what form. Some math journals want a brief note; others collect the same information in
the portal. Keep it short either way — the paper carries the weight.
What an Annals cover letter does
The editors triage on importance and fit. The letter's job is to let an editor see, in
under a page, why this result clears the Annals bar and which area it belongs to — not to
re-prove anything.
Element
One to two sentences
Result
State the Main Theorem in plain terms (the precise version is in the paper)
Significance
Which recognized problem/program it advances and why it matters
Advance over prior work
What is new: removed hypothesis, settled conjecture, new method
Scope / area
The MSC area and why Annals is the right venue
Disclosures
arXiv id; related/overlapping work; priority context; computer-assisted parts
Logistics
Suggested area/handling editor if invited; any conflicts to declare
Drafting guidance
Lead with the result and its significance, in language an editor outside your
subfield can parse. Save technical precision for the manuscript.
Be honest and specific about the advance; do not inflate. Editors and referees will
check, and overstatement damages credibility.
Disclose proactively: an arXiv preprint, a companion paper, partial prior
announcements, or a computer-assisted step. Surprises later read as concealment.
Keep it to a page. No proof sketches, no exhaustive literature review — that is the
introduction's job.
Suggested referees and conflicts: only if the portal asks; keep it factual.