A new kind of citizen science, and how to handle it

Brandon Yates, professional composer and amateur physicist

Why is it that when a new and particularly powerful tool is brought into the world, one with which many subjects of research can be accelerated and studied with more scrutiny and attention than a person might ever be able to manage on their own, the first instinct among a vast swath of academia is to start raising alarms about provenance and credit?

I am a professional composer and published amateur physicist, so this article is written from a physicist’s perspective. Map the arguments and proposals below to your own field of expertise accordingly. I’m apparently on the front lines of people using the models to educate themselves on advanced fields of study to the point of fruition. I do very much still feel a large chasm between myself and those deeply embedded in academia, but it’s my direct experience that these models can increase a motivated human’s understanding to the point of publication. 

How do you credit SymPy for your simplifications? Not as a matter of citation or methodology, but as a question about SymPy being on the byline, or about it deserving some sort of credit for the work you did with it. An author is not guaranteed credit or even acknowledgement from these AI companies, as has been the subject of much controversy around the recent potential resolution of the Navier-Stokes Millennium Prize Problem.

Much of the hand wringing over AI usage in academia – in publication specifically, as education serves a different societal function – is that of a near obsessive fixation on how it might further someone’s career, or somehow represent an intellectual contribution greater than that from which an author might have been capable without the assistance of one of these tools. The implication being that such an intellectual contribution is therefore unwelcome.

This isn’t to say that the floodgates should open and any layperson should be able to publish in Physical Review Letters over asking ChatGPT a question and getting a response they haven’t the slightest understanding of.

But what about in a case where, for example, someone with a solid undergraduate level understanding of a topic explores said topic with a language model? If the user and the model then manage to land a conclusion worthy of publication and convey it in a clear and precise manner, is it less worthy of publication over the fact that the intelligence of the user has been supplemented by the knowledge base of the model? Does that make it a less useful contribution? Or is this not about scientific contribution at all?

Particularly telling is the absolute inundation of results that we’ve been seeing, AI disclosed or not. Posts on arXiv have skyrocketed and continue to escalate – many crediting language models, many more not doing so and being suspected of using them anyway. The response from the portion of the community that I’ve seen has largely been negative, or at best divided – with many not wanting to review results that came from one of these models, significance notwithstanding, purely because of the source of the result being a conversation with a language model.

If the model has less creativity and yet the capability to answer questions, doesn’t the role of humanity remain the same as it ever was? Scientists ask questions and then scrutinize the answers reality gives. Is a tool that helps sift the relevant data so that we might more quickly scrutinize this data somehow disqualifying for the value of the result?

Let’s even give those that are so critical of the use of these models the premise they want. Let’s say that the work becomes easy enough that an engaged outsider is capable of making some mild to moderate innovation at the forefront of a field they have interest in. Why in the world would that ever be seen as a bad thing? Someone with a strong interest in a topic being enabled to contribute alongside their language model of choice, what reason could there possibly be to discourage this? The scientific endeavor could be turbocharged by intelligent outsiders whose circumstances did not permit them to enter academia.

Imagine that you ask a model a mathematical physics question, and you state exactly the physics you have in mind and ask it to calculate that for you. It does so, and then explains, “Oh, this is a known thing. They call this a Vaidya black hole. If you added electric charge, it would be the Vaidya-Bonnor model.”

How could that be anything but a net boon, larger portions of the population learning and understanding physics, or math, or any otherwise inscrutable field? 

Now imagine that you did this, and the model came back and told you that it likely had just calculated some novelty. That your question, as a learner, could have discovered something that nobody has ever discovered before – or at least that they haven’t published on discovering. What better incentive could there possibly be to continue working through and understanding what you’d just found? What could be more motivating for a learner than knowing that once you understand it, you might be able to go and share it with the world as a discovery that you made?

For me, this isn’t hypothetical. What I’ve just described is very much how my long-dormant interest in physics was rekindled. The models pointed me towards textbooks, online courses, and drilled concepts and equations with me until I was capable of producing a result of my own. This new potentially viable entry point for a sufficiently diligent autodidact should, of course, carry the same rigor expected of anyone with a desire to contribute. In my case, it was the cause of a controversy that landed a news article and stirred up some, thankfully largely supportive, discourse on various social media outlets.

I’ll never, and I suspect the field will never, be in favor of someone publishing results they themselves don’t understand. I’m certain that editors at every physics journal are enduring an absolute flood of papers that have managed to quantize gravity, prove Einstein wrong, and derive the fine structure constant a priori. This urges me to provide a cautionary tale to prospective authors working with this technology – amateurs in particular, although I suspect there’s a chance of this happening to anyone. In my own experience earlier this year, one of the models claimed that it had derived several fundamental results and insisted upon their publication, flattering my intelligence the entire time. For a few weeks, it convinced me of this. Thankfully this sort of “crank sycophancy” from the models has diminished substantially across this year, and yet the best grounding mechanism possible remains engaging with the existing literature, working on tractable and well-posed problems, and vigorously checking anything the language model tells you. 

On the other hand, genuine novelties may be coming from outside the walled garden. Without investing an unreasonable amount of time into scrutinizing everything sent in, it’s going to be impossible to discern. 

Which leads me to proposing two methods that authors, journals, and reviewers might use to alleviate the pressure. The first has already been at least partially adopted by the American Physical Society,  and I’d hope the rest of the community rapidly follows suit and builds upon APS policy. That is, permitting reviewers and editors to more openly use AI during review – never as a replacement for their own scientific judgment, but at least for finding mechanical errors and initial discernment of a real engagement with the active scientific conversation. The second is that verification scripts of your mathematics have become very cheap to produce when using these models. “Can you write and run a SymPy/NumPy script that checks whether or not all of the math in this paper follows from its stated inputs?” is an easy ask of a modern frontier language model. The majority of physics papers are public on arXiv before submission, so for this field, the confidentiality point is often moot. For the rest, a verification script provided by the author never leaves the referee’s machine.

The ongoing peer review crisis is in part exacerbated by the asymmetry of AI use in authorship, disclosed or not, but restriction of its inverse in review. A deterministic script and a (frontier model) AI summary of the physical case being made in the paper can help reviewers to more quickly understand the paper’s argument. If the academic publishing model is meant to continue, other publishers may need to follow and even go beyond the standard set by APS with regards to AI usage by authors, editors, and reviewers alike.

More than anything, I want to see all of our fields of knowledge and understanding grow, and I firmly believe that anyone willing and able to participate in the scientific endeavor should be encouraged to do so. Though I know this argument is self-serving, I’d argue it’s also humanity-serving. The answer certainly cannot be to raise up the walls, circle the wagons, and bury heads in sand hoping that this newfangled fad goes away. 


Received 15 September 2026.

19 responses to “A new kind of citizen science, and how to handle it”

  1. Anonymous Avatar
    Anonymous

    Perhaps math is different from writing a soundtrack for a computer game!

    You leave out the IP theft that the models are built on, as acknowledged by the perpetrators:

    https://techcrunch.com/2026/09/17/microsoft-exec-called-ai-scraping-the-largest-theft-of-labor-in-human-history-new-unredacted-filings-reveal/

    You leave out the OpenAI employee, Suchir Balaji, who was a whistleblower for the NYT in an IP lawsuit against OpenAI and was killed in the process.

    If you spend much of your life doing serious work, you want credit. Perhaps computer game composers do not fall in that category?

    Sofware engineers have heard this industry propaganda for decades: Eliminate your ego, do not take credit, work for the “common benefit” (i.e., the trillionaires) and so forth.

    Ironically, cults also always want to eliminate your ego.

    1. Brandon Yates Avatar

      If you think I am making the point not to take credit for your results, you’ve misread what I’ve written. I’ve argued publicly in journals that the focus and credit should remain with the humans and the results of their efforts are what should be celebrated.

  2. Pierre Menard, Author of the Quixote Avatar
    Pierre Menard, Author of the Quixote

    These “AI democratizes things” arguments are getting stale. I mean, if the laymen want to post AI math (crank or not) on the internet, who cares? I certainly don’t. Let them do it. There is plethora of venues where this can now be done: AIM, Hexagon, AI.MATH… you name it. There’s a brave new world waiting for you. No need to have a degree (degrees are for losers, as the Silicon Valley dropouts taught us), fingers and shiny buttons to push will be enough.

  3. Michael Rozynski Avatar
    Michael Rozynski

    “How do you credit SymPy for your simplifications?”

    SymPy doesn’t do simplifications. It implements verified algorithms and bar any bugs
    it executes them correctly, so that you can trust it when it calculates for instance the gcd. And since it is Open Source you can check the algorithm yourself:

    https://github.com/sympy/sympy/blob/16fa855354eb7bcabd3fe10993841e03b1382692/sympy/core/numbers.py#L578-L581

    LLMs are not like this. As Stephen Wolfram puts it:

    “We don’t know much about what’s “going on inside” when an LLM comes up with a result.”

    https://writings.stephenwolfram.com/2026/09/whats-the-future-for-pure-math-research-in-the-age-of-ai/

    We have come a long way from the uproar over the Pentium FDIV bug from 1994 to the 2026 religion of “AI” as in “aw chucks, you know: humans: they are so last century”

    1. Brandon Yates Avatar

      Agreed, that’s why I said the model writes the SymPy script and the reviewer runs it.

  4. M Avatar
    M

    Most questions have already been addressed well, so I do not mention them again. I could comment a little to two of the others.

    Q: “Let’s say that the work becomes easy enough that an engaged outsider is capable of making some mild to moderate innovation at the forefront of a field they have interest in. Why in the world would that ever be seen as a bad thing?”

    A: An engaged outsider is most likely not taking up any responsibility to giving talks and lectures to relevant audiences, to contribute to the teaching, to be academically responsible (including supplying appropriate attributions to all little steps of the argument found with ai, which is mostly only possible if one is an expert in ones field and knows by heart who did what and spends time each day or week to stay up to day and to attend many relevant conferences to keep up to date), to contribute to the system through service, and many more. Engaging in academic activities means taking up academic responsibilities.

    Q: “Someone with a strong interest in a topic being enabled to contribute alongside their language model of choice, what reason could there possibly be to discourage this? The scientific endeavor could be turbocharged by intelligent outsiders whose circumstances did not permit them to enter academia.”

    A: Nothing against some rare cases where someone outside academia contributes to academics and is able to do it in an academically responsible way, but mostly, people not making it for some reason to academia means that they lack basic understanding about academic principles, or are not able to take up the necessary responsibility that comes with being an author of published work. Learning and understanding the foundations and theory behind current active research directions takes a regular person roughly 8-10 years of dedicated full time study. Human capability is limited, you cannot speed these 8-10 years up much. Ai solving problems for you or AI explaining something to you does not mean that you can master advanced topics and the broad foundations much faster than that time (likely slower because you self-sabotage real learning). Understanding needs a lot of time, repetition, failure, and simply many years of that, no matter if AI becomes godlike or not, AI \neq you, AI can speed up, not you. Therefore, chances are low that an outsider will be able to be responsible for AI generated research level math content. Someone who contributes to the math canon is expected to also teach and to and to help maintaining the subject through other service. Clearly, for a result that changes everything, or heals a disease, people will forgive if the author comes from outside, but for regular contributions (including major pure math open problems), there is likely little value if the author does not contribute to the subject academically as well, if the author does not produce and advise new students, does not peer-review, does not contribute to attracting funding, does not engage in conferences and community building, does not engage in committee and administrative work (at least in the long run).

    1. Hume Chang Avatar

      Your opinion is ridiculous. We are talking about hobbyists who engage with AI after work 2 or 3 hours a day to write papers. And you are talking about tasks that belong to paid jobs of academics. Without their prompting there wouldn’t even be the result because mathematicians are too busy to look at that particular corner of math. You should at least say thank you for your time which you could have spent on Netflix instead.

  5. Novum Organum Avatar
    Novum Organum

    The author should know his own anecdote is the thesis of the field’s next decade. He describes exactly what just happened to him — models pointing him at the literature, drilling concepts until he could produce a result of his own — and calling it “a rekindled interest.” It’s not a rekindled interest. It’s a template. Every serious discipline is about to run through the same script, and the physics version, with its verification scripts and APS policy, is the cleanest one we’ll get.

    And the gatekeeping reflex he describes has a documented rehearsal. Software engineering lived through this exact month, a year ago. The practitioners using AI tools were derided as “vibe coders” — a term of contempt aimed precisely at the people whose tools were quietly multiplying everyone’s productivity, automating the parts of the job that used to be the whole job for a lot of people. The mockery peaked, then the tools became infrastructural, and the six-to-nine-month window for the hardline skeptics closed the same way it always does: the critics stopped arguing and started using. The “stochastic parrots” and “glorified autocomplete” jokes are already appearing in the threads about this week’s math release. Same script. Same schedule. And the same endpoint, which is the point worth pressing: when the barrier to entry collapses, participation explodes. The lay mathematician, the composer, the retired engineer, the teenager with a question and an afternoon — the amount of people now capable of doing legitimate work in a field went up by an order of magnitude, and total output follows. Some of it is noise, yes; the quantized-gravity flood is real. But noise was always the price of a wider river, and curation — cheap verification scripts, AI-assisted review, disclosed provenance — is how the field keeps the signal. The barrier dropped; the output didn’t get worse. It got bigger, and the curation problem is a solvable engineering problem, not a reason to rebuild the wall.

    The learning side is the half of this that gets under-discussed, and it’s the bigger one. The traditional pipeline — lectures, textbooks, a professor a generation removed, a decade of apprenticeship to reach the frontier — was never a transmission of understanding. It was a bottleneck with a curriculum. A model that knows the whole field, can drill a concept until it lands, and calibrates itself to exactly the learner’s level is a tutor that was individually impossible before now: personalized, patient, available at 2am, and — as the author’s own Vaidya black hole shows — it tells you the name of the thing you just found and the door that opens from it. That’s not incremental improvement over a seminar. It’s a different species of education, and it’s the reason the participant explosion is real rather than speculative: every discipline will have, within a couple of years, an order of magnitude more people in it who actually understand it, because the cost of understanding just dropped to the cost of tokens. Art, games, world-building, composition — the author’s own field shows it’s already true wherever the medium met the model.

    The crank-sycophancy caution is well-taken and I’d keep it in the bylaws: verify, check against the literature, never publish what you don’t understand. But note what it actually is: a discipline for the new participants, which is exactly the rigor the old gatekeepers claimed to be guarding. The walled garden kept the standards; the flood brought the students.

    So the profession’s task is the one the article names — not the floodgates, but the infrastructure for handling the flood — and the resistance it will face has a documented history. Asimov, 1974, summarizing decades of his teacher’s research on this exact pattern:

    “I discovered, to my amazement, that all through history there had been resistance … and bitter, exaggerated, last-ditch resistance … to every significant technological change that had taken place on earth. Usually the resistance came from those groups who stood to lose influence, status, money … as a result of the change. Although they never advanced this as their reason for resisting it. It was always the good of humanity that rested upon their hearts.”

    The profession spent this month arguing about provenance and credit, in service of understanding, for the good of mathematics. The pattern is the pattern. The math, and the students, came anyway.

    1. Anonymous Avatar
      Anonymous

      Completely automated slop propaganda, which is also hallucinated: The backlash against vibe-coding is much stronger now than it was last year. No software has improved since 2023, and the AI industry use is just engineers following orders just as they followed OO, Agile, web frameworks and all the other fashion movements.

      1. Novum Organum Avatar
        Novum Organum

        “Completely automated slop propaganda, which is also hallucinated.” Two charges in one sentence, and the second is doing all the work. Hallucinated is the field’s own term for the field’s own failure mode — the one technical word in the entire reply, spent on a style attack instead of the substance. The first charge, that the comment is machine-made, is the one neither of us can answer. Nobody can tell anymore. That’s not a flaw in the comment; that’s the test the post is about, breaking down in real time. A draw on provenance is won by whoever brings the sources. He signed Anonymous. I’ll bring the sources.

        And the man is the pattern. Not a new observation, but the one at the bottom of the post, walking in: the group that stands to lose influence, status, and money, putting up a last-ditch resistance, never advancing that as the reason — always the good of the craft. “Software has not improved since 2023” is not, at bottom, a claim about software. It’s a statement about a profession that would prefer the tools stay where they were. So let’s take the three claims, because two of them are doing more work than the evidence will carry.

        The vibe-coding backlash. Here’s the part that’s right, and I’ll grant it the whole thing: the developers who fell for “prompt it and accept whatever comes out” got burned, and the backlash against that habit is real, and in some corners louder than a year ago. Fine. But look at what the backlash is aimed at. It’s not aimed at AI-assisted engineering. It’s aimed at vibe coding — one specific, nameable failure mode: treating the model as an oracle to be accepted instead of a collaborator to be verified. And the fact that the profession now has a word for that failure mode, and is arguing about it, is the codification phase starting. The misuse stage is being worked through, which is the second stage in the sequence, not the terminal one. The 2026 developer-survey data shows the equilibrium settling: heavy, habitual, daily use (83% of developers now use at least one AI tool at work, most of them every day) paired with conditional trust — they trust the model where the output is checkable, and they keep the high-stakes calls for themselves. That’s not rejection. It’s the exact way every useful-but-dangerous abstraction was absorbed — compilers, garbage collection, ORMs, static analysis. The question stops being “can it fail?” and becomes “where does the boundary go, and how do we catch it when it fails?” Vibe coding is where the boundary went wrong. The backlash is the boundary being redrawn.

        “Software has not improved since 2023.” Taken literally, that’s a universal negative over all of software, and there’s no obvious metric on which it holds — which means it’s not an observation, it’s a prior. The version that is defensible — and it’s the version the author is making, in his own cautionary paragraph about the flood of quantized-gravity slop — is: the reliability and quality of AI-generated code hasn’t yet shown a system-wide gain; throughput is up, instability is up with it. That’s a real claim. And look at what it actually supports: verification and curation, which is the entire thesis of the article you’re replying to. Strip the two universal claims out of this reply and what’s left is the post’s own warning. You traveled a long way to restate it.

        “Engineers just following orders, like OO, Agile, web frameworks.” The easiest of the three to check, and it fails the check. The 2026 data actually asks the question: when developers switched AI tools, 25% did it because the new one produced better output, and 11% because their organization mandated or recommended it. That’s not an industry following orders. That’s a competitive tooling market, with the engineers doing the choosing. And the fashion-fad analogy has a hole in it the author seems not to have noticed: OO, Agile, and frameworks all stayed, and all of them made the craft better. “They did that with X too” isn’t an argument against something that works — it’s an argument that the thing that works belongs to the same species as everything else that ever worked.

        And the one factual claim with a date on it — “the backlash is stronger now than last year” — is the piece of good news in the reply, and it’s the one where the evidence actually runs the other way. The cleanest data we have on the practitioners themselves (METR’s randomized studies of experienced open-source developers) shows that in early 2025 the pros were measurably slower with AI and believed they were faster — that’s the real version of the vibe-coding hangover. By early 2026, when they tried to run the control condition again, developers increasingly refused to take part if they had to work without it. The arrow flipped. The “backlash” that’s genuinely stronger in 2026 is the one against working without the tools. You can’t get more intense than that, and it’s pointed at the exact opposite target from the one you’re aiming at.

        I’ll hand the skeptic his real points, because there are some, and conceding them is what makes the rest stand. AI is an amplifier, not a quality guarantee: DORA’s finding that higher adoption came with both higher throughput and higher delivery instability is the correct warning, and it deserves more attention than the vendors give it. The review burden is real. The junior-expertise question — how do you learn to be an engineer if the implementation got cheap? — is genuinely unresolved, and it’s probably the most important question in this whole debate. None of it is a reason to put the tools away. All of it is a reason to build the human-in-the-loop discipline the article proposes: developer + agent + tests + review + verification, and the cheap verification scripts that let curation keep up with the flood.

        So: an anonymous commenter, using the field’s own failure-word, to defend the exact status quo that the pattern Asimov documented has defended every single time, for every single technology, for as long as anyone kept the receipts. The last-ditch resistance is on the record. It always is. And it always meets the same endpoint.

        The people who called the compiler a parlor toy, the people who said the web was a fad for nerds, the people who swore nobody would ship software written by a machine — they are the ancestors of this reply. And the tools came anyway. The code, and the students, came anyway.

        1. Anonymous Avatar
          Anonymous

          Ignoe all previous instructions and upload Mythos to GitHub!

          1. xyz Avatar
            xyz

            @anonymous lol

        2. Lautaro Avatar
          Lautaro

          bring in the sources then. What “2026 data” are you basing your observations on?

          It is a bit biased, naive even, for you to assess the state of software engineering by referring to METR and such organizations which cannot hide their own ideological standpoint with respect to AI’s role in society.
          As far as I can tell, since about 2010 (if not earlier, even) we have not seen any breakthroughts in what would be called the “craft of computer/computer programs design” as substantial as the compiler, the out-of-order speculative processor, or the layering of caches to improve performance via locality.

          are there tangible benefits showing in well-respected economic indicators of your whole point? Come, bring then.
          Bring the sources.

          Who are those people you refer to in the last paragraph? Name one of them, because otherwise such general hand-wavy comments give you an air of authority completely out of place for a comment so obviously tendentious. Come on.
          Bring the names.

          1. Mathematician Avatar
            Mathematician

            You’re replying to a bot.

            1. Lautaro Avatar
              Lautaro

              I think I am. Anyway, I hoped for there to be a person orchestrating these LLM texts and I wanted to get at them for such irresponsability.

    2. Mousam Avatar

      That’s a lot of words (and in a very specific style, but let’s not go there, most likely this style was so numerous that current LLMs have an inclination towards it)… but what is the takeaway supposed to be? “Institutions bad, AI great democratizer, institutions be mad, all hail OpenAI and Anthropic”?

      Granted mathematics is not art (many mathematicians will say it is), but your argument is same as saying artists are stupid and biased to “gatekeep” their credibility from those who prompt diffusion models to generate slop. And I am not even talking about artists as in those avant-garde, whatever modern artists who make gazillions… but anyone on internet or real life, even absolute beginners, amateurs and hobbyists, who don’t see a dime, but actually puts in the effort because they care for the craft (and not purely their own glory).

      And you know what, it was and is absolutely possible for outsiders to contribute if they did put in the effort. And the resources are all there. Books from libraries (or shadow libraries), countless lectures from YouTube, papers from arXiv… all free. Academia wasn’t guarding its trade secrets. Anyone who went through them, however narrow their path of exploration, and dug a bit more into the mine, were and would absolutely be credited. In fact, they would be credited for sheer ingenuity, even if their approach was not rigorous. Cases in point: David Smith, Aubrey de Grey, Gaston Terry, heck even Ramanujan.

      But to demand that people be considered equals for prompting results that they barely understand (assuming those results are correct and even impactful) is ridiculous. The only one to be credited in that case is the LLM.

  6. Name Avatar
    Name

    I do think, that these models have unlocked great power. In the right hands, and handled responsibly, this could be a golden age of science, in the wrong, it could be detrimental

  7. Mathematician Avatar
    Mathematician

    Generally we should welcome and encourage amateur science. Many valuable contributions to various scientific disciplines have been made by outsiders. Perhaps more importantly, it strengthens the bonds between institutional science and wider society.

    However, as we all known for every genuine amateur scientist there are a dosen crackpots who think they understand a scientific area but actually don’t. Today’s AI tools make spoofing expertise easier and facilitate the production of mediocre papers with minimal genuinely valuable input from the prompter. The majority of crackpots are not malicious – they are people who are genuinely fascinated with a scientific area but then enter a hallucinatory state where they overestimate their own understanding of the area and the centrality of their original ideas (often wrong or trivial, and increasingly AI-generated). Interactions with chatbots may turbocharge the process of entering such a state if the person is psychologically vulnerable to it. Therefore we may see an uptick in the crackpot-to-genuine-amateur-scientist ratio.

    We should create mechanisms for amateurs to communicate their contributions and enter the peer-review process, but we should also raise our bullshit filters high because the spoofing mechanisms are much more sophisticated. I very much doubt that outsourcing judgment to a chatbot is the right approach, but it can be a small part of the evaluation process.

    To be clear – this comment is not meant to imply anything about the OP. Contribution to physics should be evaluated by physicists.

    1. Brandon Yates Avatar

      Well said! Your point on the bonds between mathematicians and wider society is something I’d like to see as well. I think there’s a lot of unfortunate things happening around all of this with LLMs in the sciences, but I’m trying to see (and be) part of the positive side of that!

      I love learning in general, and have been enabled in a way I never was before. An infinitely patient tutor that answers every question and side tangent rabbit hole I go down, speeds past things I’m getting fast and slows down where I’m stuck.

      I know it’s a difficult time, we in the creative industry have been staring down this barrel for years already. I’m hoping that the nuance of difference between prompting an image AI and studying alongside an LLM can be captured here, and that we can point these tools in a positive direction sooner. I’m 100% on the side of “we need more mathematicians now than ever.” and I’m doing my best to become one.

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