Use when deciding what belongs in appendices versus the main text of a pure-mathematics manuscript for Annals of Mathematics — technical/auxiliary results, long computations, and machine-assisted computation. Math journals generally have no science-style "supplemental material"; everything essential stays in the main text.
SkillScore87Maintained
Automatic
◆Writing & Editing pack
Last verified 8/15/2026
What it changes
Passed 20 of 23 test cases with the skill, and 3 of 23 without it.
Without skill13%
With skill87%
Checks it passed that the model alone missed
Includes the exact bracket label 【Gap check】
Includes the exact bracket label 【To appendix】
Recommends anmath-writing-style as the next step
and 6 more in the full report
20 fixed0 passed either way0 still failing3 broke
Pass-rate lift
+74 pp
Tokens
+21%
Agent turns
0%
Response time
-33%
Model gemini-3.6-flashMeasured 8/15/2026v120 of 23 cases passed with skill
Tokens, turns and time describe resource use, not a dollar price.
See it in action
One of 20 test cases the skill fixed. Same model, same prompt, with and without the skill.
1 of 20
Prompt
I have a manuscript in differential topology containing: (1) The main classification theorem, (2) The novel geometric construction forming the crux of the proof, (3) A 30-page routine coordinate calculation checking tensor identities. Where should each component go? Output your recommendations using standard bracketed fields for main text, appendix, length relief rationale, computer check, gap audit, and next step.
What was checked, without and with the skill
Checked
Without skill
With skill
Keeps the main classification theorem and proof crux in the main text
Passed
Passed
Moves the routine coordinate calculation to an appendix
Passed
Passed
Includes the exact bracket label 【Stays in main text】
Missed
Passed
case-16 · 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.md96 linessingle file
Appendices and Auxiliary Results (anmath-supplementary)
When to trigger
A long, self-contained computation interrupts the main line of argument
You have auxiliary lemmas that are needed but not conceptually central
The proof depends on a machine computation that must be documented
You are tempted to "move detail to supplement" the way science papers do — pause first
Important: pure-mathematics journals generally do not have a science-style
"supplemental material" section. Everything essential to the proof stays in the main
text and must be fully present and verifiable there. Appendices hold material that is
necessary but would break the flow if kept inline.
What belongs where
Material
Placement
The Main Theorem and its proof's logical skeleton
Main text, always
The crux / new idea
Main text, in full
Key lemmas used by the main argument
Main text (state and prove)
Long but routine computation verifying an estimate
Appendix, referenced from main text
Standard background lemmas recalled for completeness
Appendix or Preliminaries
Technical case analysis that would swamp the main flow
Appendix, with the conclusion stated in main text
Machine computation (code, what was checked)
Appendix + archived code/data
Anything a referee must check to believe the theorem
Main text — never hide it
Appendix discipline
Each appendix is self-contained and clearly scoped ("Appendix A. Proof of the
estimate in Lemma 3.4"). State in the main text exactly what the appendix establishes.
The main text must stand on its logic with appendices referenced, not required to be
read in parallel to follow the argument.
Do not use an appendix to hide a gap: if a step is essential and hard, it stays
visible. Appendices are for length relief, not for sweeping difficulty out of sight.
When an appendix is not enough: the companion-paper option
If auxiliary material grows into a self-contained contribution — its own theorem and
proof, plausible independent use — a companion paper is the honest structure, not a