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Keeping pace without AI? The AI-free caucus on arXiv

Version 2, 11 October 202612 pagesPDFInfographic

The Association for Human Mathematics lists 809 mathematicians, and 532 of them, the AI-free caucus, state that they do not use AI models in their research. Here I compare their arXiv output with that of comparable mathematicians: all other authors of arXiv mathematics papers, reweighted to the same fields, career stage and earlier output. The analysis plan was fixed before any result was computed. Hover, tap or use the arrow keys on a chart to read the numbers.

AI-free caucus (237 active authors)comparable mathematiciansother AHM members
Output per author, Oct 2017 to Sep 2022 against Oct 2024 to Sep 2026
+15% vs +17%
AI-free caucuscomparable
No difference. Ratio 1.02, interval 0.93 to 1.12.
Output per author, July to September 2026 against 2025
+13% vs +52%
AI-free caucuscomparable
A first gap? A hint, not a proof. Ratio 1.35, interval 1.00 to 1.81.
All arXiv mathematics papers per month, all authors
5,144 to 10,284
September 2025September 2026
Agrees exactly with the official arXiv counts.

Before and after: the caucus kept pace

Papers per author and year, relative to October 2017 to September 2022. Periods run from October to September and are named after the year in which they end. Shaded: the two periods that are compared.

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Month by month: a gap opens in the summer of 2026

Papers per author, three-month average, relative to 2017 to 2022. Triangles mark model releases of OpenAI, Anthropic and Google. Shaded: July to September 2026.

About the peak of the caucus at the end of 2025: a few members had a very productive quarter at the same time, mostly with coauthors and in quite different fields. None of these papers mentions an AI tool, and the peak starts in October 2025, a month before Gemini 3, so the timing does not fit a model release (exploratory check).

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All arXiv mathematics: twice as many papers in a year

Every arXiv paper with a mathematics category, cross-lists included. Not a group comparison.

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Traces of AI, by group

Averages over the authors with a paper in the period. Comparable mathematicians reweighted to the caucus.

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Sudden jumps: no excess in the caucus

Share of authors whose output in April to September at least doubled (or tripled) against their own half-year average of 2017 to 2022. Light bars: average of 2019 to 2025. Dark bars: 2026.

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The whole story in one image

For sharing. Click the image for the full size.

Infographic: Do mathematicians who don't use AI write fewer papers? Output per author from 2017 to 2022 to 2024 to 2026: AI-free caucus +15%, comparable mathematicians +17%. July to September 2026 against 2025: +13% against +52%. All arXiv mathematics papers per month: 5,144 in September 2025 and 10,284 in September 2026.

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