Why and how to transparently disclose AI use in mathematics research

Maximilian Kaipel, postdoc at Bielefeld University

SERIES · AI is making papers cheap to produce but they remain costly to referee. Proofs and Prompts is publishing a series of posts from 26 October on the future of publishing, papers and credit. Questions such as how to disclose AI use, who bears the cost of checking, what authorship means and what papers of the future might look like will be addressed. This post is part of the series. Each is written independently and reflects only its authors’ views. All posts in the series

This is a summary of an article written by me with the same title. This summary is presented without references for the sake of brevity. The full version of this article can be found on my personal website.


In August 2026, almost 25% of all mathematics articles uploaded to arXiv disclosed the use of Artificial Intelligence (AI) technologies. Among these, one finds varying levels of detail describing the human-AI-interaction and its impact on the article. Unsurprisingly, one study has found a significant discrepancy between expectations and the reality of AI disclosures in computer science, and many mathematicians likely share this feeling. For this reason, I want to initiate a standardisation of AI disclosures in mathematics. With this goal in mind, I surveyed existing guidelines, recommendations and the work of scholars on research ethics. The outcome of my endeavours is the development of three guiding principles, a taxonomy and a LaTeX package.

Why transparent disclosure is important

Commercial Large Language Models (LLMs) pose many ethical concerns for society and science in general, and for mathematics in particular. While detection tools for AI-generated text remain unreliable, a complete ban on the use of such technologies for mathematics is infeasible. Instead, I argue that academic journals, which are likely to experience a significant increase in submissions, should require maximally transparent AI disclosures going forward. In addition, many existing structures in academia fundamentally depend on the correct attribution of ideas. While it is possible to challenge the status quo, I assume here that it is desirable to uphold this tradition. Even without this assumption, transparent AI use disclosure is beneficial for approximating expended financial and environmental resources, thus providing insight into the sustainability of AI-assisted mathematics. Indeed, “transparency” and “reproducibility” are listed among the most important guiding principles of the UNESCO Recommendations on Open Science. These axioms of responsible research demand a maximally transparent AI disclosure. In fact, under current policies, it is considered academic misconduct to omit disclosure of AI tool use for mathematics research.

The guiding principles

In its simplest form, the human-AI-interaction discussed here may be described as a cycle

Human provides AI input -> AI produces output -> Human processes AI output -> Human provides AI input

which eventually terminates in the production of a mathematics research article. A transparent AI disclosure allows readers to correctly identify the role played by AI technologies throughout the entire process of creating the research manuscript.

Who should be author?

Many others have discussed the question of who should be the author on a (mathematics) research manuscript to which AI contributed. Authorship is primarily an indicator of credit for the progress made in the research article and most scholars on research ethics agree that credit and responsibility are two sides of the same coin. This implies that in order to receive credit, one must assume responsibility. However, as AI tools are not human they cannot be held responsible and may therefore not be authors of (mathematics) research manuscripts.

Principle 1: Only humans are able to assume responsibility for the quality of mathematics research and may therefore assume authorship of a research article in mathematics.

How specific should the disclosure be?

With the goal of achieving a maximally transparent AI disclosure, one must necessarily be as specific as possible. Here, I distinguish between three types of specificity: technological, functional and locational. Technological specificity demands the exact description of the AI tool’s name and any additional attributes used, for example GPT-5.6 Sol with max reasoning. Functional specificity is supposed to describe precisely which tasks of the research process were delegated to AI technologies. I developed the Mathematics AI Delegation Taxonomy (MAIDeT), see below, which is designed to provide a standardised dictionary for this purpose. For example, authors may delegate “Statement generation” or “Novelty assessment” to AI and should disclose this clearly. For locational specificity, consider a mathematics article as consisting of three levels: Indexed environments such as lemmas, definitions or theorems; sections; and the entirety of the manuscript. Locational specificity requires the authors to describe as precisely as possible where, for example in Lemma 3.5, in the manuscript a task was delegated to AI.

Principle 2: AI disclosure should be of the highest possible technological, functional and locational specificity.

Why should AI interactions be documented?

Even with the researchers’ input prompts available, readers are not able to reproduce any reported interactions with AI tools. This makes it of utmost importance to document the entirety of the human-AI-interaction for the sake of transparency and reproducibility. Depending on the technology used, this can be as easy as exporting a chat log as a PDF. The inclusion of this documentation can provide insight into token costs and help illuminate the question of sustainability of AI-assisted mathematics.

Principle 3: Every interaction with AI which has influenced the final presentation or content of a manuscript should be recorded in full and made available.

Visibility of AI-critical positions

Commercially available LLMs raise many ethical concerns both generally as well as for mathematics specifically. Together with the issues of transparency and reproducibility, these issues compile an excessive list of reasons for mathematicians to boycott the use of such technologies. For those holding this stance, I strongly recommend including in their research outputs a statement sharing their conviction, which enhances the visibility of AI-critical positions.

Taxonomy and LaTeX package

In order to implement Principle 2 in practice, I developed MAIDeT and a LaTeX package called mathaidisclose. The taxonomy draws on my own experience as a researcher in abstract algebra and many accounts of “doing mathematics” before and after the advent of LLMs. It breaks up five major themes, representing the non-linear research process of doing mathematics, into minor research tasks one may delegate to AI tools. It is important to emphasise that many mathematicians do not view mathematics as a theorem-production pipeline. While some support the philosophy of theorem-proving-above-all-else, viewing it as the one true way of doing mathematics is a serious misrepresentation of mathematics. The taxonomy can be found below:

Knowledge acquisition: 

  • Axiomatisation
  • Example generation
  • Literature search
  • Pattern observation

Objective identification:

  • Applicability assessment
  • Conjecture generation
  • Feasibility assessment
  • Idea generation
  • Novelty assessment
  • Objective formulation
  • Objective subdivision
  • Research gap identification

Proof construction:

  • Statement generation
  • Proof completion
  • Proof generation
  • Proof verification
  • Proof polishing

Code and computation:

  • Algorithm conceptualisation
  • Algorithm implementation
  • Code generation
  • Code optimisation
  • Computation
  • Computation verification
  • Enumeration
  • Formal verification
  • Process automation

Presentation and communication:

  • Context discussion
  • Literature review
  • Proof exposition
  • Reformatting
  • Spell-checking
  • Text generation
  • Translation
  • Trend identification
  • Visualisation

The LaTeX package mathaidisclose allows users to easily implement locational specificity. For example using the command \discloseAI[model]{task} inside of an indexed environment, such as Definition 3.1, will print the sentence: “The authors disclose the delegation of task to model in Definition 3.1” in the AI disclosure section generated using \printAIdisclosure[]. A similar command \globalAIuse[model]{task} is available to disclose the tasks delegated to AI throughout the entirety of the manuscript. For those disclosures which do not fit into the previous ways of disclosing AI use, the command \customAIdisclosure{text} can be used to print any text in the AI disclosure section. This command should also be used by authors to affirm that they have verified all AI-generated outputs included in the article for correctness and that they assume full responsibility for the contents of the manuscript. If none of the three commands for disclosing AI are used, then \printAIdisclosure[] outputs “There is no use of Artificial Intelligence to disclose.”


Received 10 October 2026.

8 responses to “Why and how to transparently disclose AI use in mathematics research”

  1. Oliver Braunling Avatar
    Oliver Braunling

    I fear many of us work very differently from how you envision a typical research article to be written, and it would not be possible to apply your ideas outside your framework.

    Your framework presupposes a process where a paper gets created in a clean workflow. Beginning to end. But many of us write papers because we might have thought about some questions for years, and progress often comes unexpectedly. A random conversation on a conference hike or a guest talk whose abstract didn’t even sound interesting at all. And then – when you finally write the paper – you rely on all these years of expertise in the field that you have accumulated. In the future, you might have accumulated that through (daily?) AI chats.

    But you will not notice in 2027 when you learn something during a stormy Wednesday’s afternoon AI chat that will eventually find its way to a paper of yours in 2030. And in 2030 you will not remember when you had first had that insight.

    It’s like learning a language: Suddenly you speak it, but you wouldn’t know that it was Lesson 7B §6 Listen&Repeat where you’ve learned a specific term, or was it actually from an episode of some sitcom?

    Let us imagine a PhD student. They work for, say, 3 years, on a tough problem. And we imagine they use AI, every weekday. They go through thousands of false starts, frustrations, ups and down – and when they finally write an article 3 years later, it will probably contain a tiny fraction of all they’ve ever prompted, but 100% of their prompts will have helped to shape their expertise. And along the 3 years, they will never know which of the prompts will eventually lead to something that will end up in their thesis, or not.

    1. Maximilian Kaipel Avatar

      I understand your point. It is clear that this essay imagines “perfect lab conditions”, which are not always realistic in practice. The conclusions in the essay are derived from the axiom “Human intellectual input should be identifiable”. Importantly, however, just because one cannot achieve the “perfect” AI disclosure, does not mean one should not try to achieve one. Your valid concerns about the infeasibility of transparent multi-year AI-assisted knowledge acquisition disclosure do not justify the dismissal of this theoretical framework as entirely inapplicable.

  2. anonymous Avatar
    anonymous

    Writing a detailed account of AI interaction as the author proposes is not realistic. AI has increasingly become a part of many mathematicians work flow, and it might take hundreds of prompts over the course of months before a breakthrough is made. Trying to separate the contributions of man from the machine at that is not practical.

  3. Anonymous Avatar
    Anonymous

    Many journals already require you to describe the role of AI in your paper.
    I think I do not disagree with this.

    But your requested level of detail seems unenforceable to me, unlike plagiarism.

    I also disagree that this level of detail should be expected or is even beneficial.

    In particular, I dispute your Principle 3:

    “Principle 3: Every interaction with AI which has influenced the final presentation or content of a manuscript should be recorded in full and made available.”

    The criterion “influenced the final presentation or content” is very broad.

    We do not and should not expect people to publish all relevant email communication between coauthors or other mathematicians. Nor should we expect people to publish all of their private research notes, half-formed ideas, dumb questions they asked their colleagues, or failed attempts. We should not and cannot ask people to log all of their internet searches. And we should not and cannot ask people to log all of the sources (books, papers, notes, people, etc.) that they learned from or were influenced by, over the lifespan of a project.

    Similarly, I do not find it reasonable to require people to log and publish all relevant AI interaction. I disagree that this is a reasonable ask in the name of reproducibility.

    1. Maximilian Kaipel Avatar

      I think that comparing the prompting of LLMs to exchanges with your collaborators misses the point. The latter is an interaction between authors on the paper, all of whom are humans who take credit for their contributions to the paper. The former is not, and if you take credit for something the AI has done, then, under the assumption that human intellectual input should be identifiable, this violates transparency.

      As I have said in other comments, one shouldn’t let perfectionism get in the way of trying. Just because you cannot document all the interactions that lead to you understanding something, does not mean you should not document those interactions whose impact you can easily track (for instance an AI-generated proof which you include with only minor changes).

  4. Noah Snyder Avatar
    Noah Snyder

    What about all conversations or correspondence between the coauthors? Should that also be extensively documented and disclosed?

    1. Jonathan Swift Avatar
      Jonathan Swift

      Why stop there? For maximum reproducibility and transparency, shouldn’t mathematicians be required or at least expected to provide video recordings of each of their research meetings with collaborators, so others can learn how to reproduce the steps that led to the proofs of their theorems?

      The inclusion of this documentation can provide insight into travel costs and help illuminate the question of sustainability of long-distance interpersonal collaborations in mathematics. No doubt an important issue for those concerned by rising energy usage.

      That said, overall I’m not sure I understand what exactly needs to be reproducible about a human-AI interaction that leads to a proof. This is a different question from the question of authorial credit and transparency. If the proof is clearly and understandably written, contextualized and explained in the paper, isn’t that the relevant scientific artifact? Usually issues of reproducibility have to do with experimental setups that a reader of a scientific paper cannot otherwise verify, or empirical observations that can’t be deduced purely by reasoning. But a proof is self-contained! You know it’s a proof, because it proves it.

      1. Maximilian Kaipel Avatar

        Both of your comments are arguing against the assumption “It is important to be able to identify human intellectual contribution”, instead of against the conclusions derived from this.

        Uneven contributions made by collaborators is a valid concern, which is why other fields consider the first author to be the one who contributed the most. Other fields also use the CRediT taxonomy to make reasonably explicit which author did what. Within (pure) mathematics, it is generally assumed that contributions are roughly equal and of the same nature between coauthors.

        For travel costs, estimates are available to those who reimburse/pay your travel costs. These estimates can be used to calculate approximate impacts on the environment etc. In contrast, the actual costs of prompting LLMs are far less transparent.

        For reproducibility, more and more people are viewing LLM outputs as “raw research data”. I think there are parallels to empirical data that justify the requirement for transparency. Again, this also boils down to correct identification of human intellectual input.

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