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Use when responding to an Annals of Mathematics referee report — revising the manuscript to close gaps or strengthen results and writing a point-by-point reply. Drafts the revision and response after the text is fixed; does not invent significance the result lacks (see anmath-scope-fit).
Passed 22 of 22 test cases with the skill, and 20 of 22 without it.
2 fixed20 passed either way0 still failing0 broke
Tokens, turns and time describe resource use, not a dollar price.
One of 2 test cases the skill fixed. Same model, same prompt, with and without the skill.
We need to respond to a peer review on our PDE paper. The reviewer questioned the proof of Lemma 4.1 and requested extra exposition in the introduction. I want to make sure we handle this properly before writing the response text. Please lay out the revision strategy and output a status summary detailing: total report comments categorized by type, specific mathematical fixes applied, whether theorem statements changed, validation of the whole proof chain, location-tagged replies, diff file status, and recommended next steps.
| Checked | Without skill | With skill |
|---|---|---|
| Directs completing proof corrections in Lemma 4.1 before drafting response text | Missed | Passed |
| Recommends attaching a latexdiff file highlighting manuscript changes for resubmission | Passed | Passed |
The instructions your model reads when the skill loads.
Math reviews are slow and thorough. A report may identify a genuine gap; the right response is to fix the mathematics first, then explain — never to argue a gap away.
| Element | Content |
|---|---|
| Opening | Brief thanks; summary of the main changes |
| Each point | Quote the referee remark, then state the change and where it appears (section/line/Lemma) |
| Gaps/errors | Acknowledge plainly, give the corrected argument, point to the new text |
| Disagreements | A precise, courteous mathematical rebuttal; concede where the referee is right |
| Marked-up version | Provide a latexdiff PDF so changes are easy to verify |
test cases passed, vs 20 / 22 without
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