On the afternoon of August 27, 2026, somebody began deleting Nicholas Polson’s academic career.
Andrew Gelman (b. 1965) watched it happen from his blog at Columbia. At 9:05 that morning he had posted about the Chicago Booth statistician’s SSRN author page, which carried 258 working papers posted in 2026 alone. By 3:32 PM the count had fallen to 99. Then 44. Then one, a paper called “Sequential Bayesian Pricing of AI Infrastructure” from May 29. Then the page was gone.
Ten hours, from a blog post to an erasure.
The story reached Gelman through the economist Jeremy Horpedahl, who had counted the papers and noticed that six of them went up on August 26. Horpedahl’s point was that these were not notes. They ran twenty-seven pages, thirty-two pages, fifty-eight pages. Read any one of them, he wrote, and it feels like a normal academic paper.
Gelman picked one to test that. “Theories of Human Connection”, eighty pages, written February 20 and posted March 11, by Polson (b. 1963) and Vadim Sokolov of George Mason University. Its preface assembles sixteen thinkers who each identified a dimension of human connection the others left in shadow: Gary Becker, Gregory Bateson, John von Neumann, Thomas Schelling, John Maynard Keynes, Desmond Morris, Diane Vaughan, Viktor Frankl, Abraham Maslow, John Gottman (b. 1942), Paramahansa Yogananda, Swami Vivekananda, Nisargadatta Maharaj, Polson, Katherine Woodward Thomas, and Gwyneth Paltrow (b. 1972).
The chapter that stopped Gelman is Chapter 10, titled “The Mathematical Proof: Gottman’s Model of Relational Dynamics.” It reports that Gottman’s models predict dissolution with over ninety percent accuracy and calls the result extraordinary. The abstract carries the same claim into the indexed record. Gelman has been correcting that number since 2010. It comes from fitting a model to the sample it was built on. Two Bayesian statisticians published it as evidence.
That much has been reported. What follows has not.
Go to Polson’s research page at Chicago Booth. Near the top, above the year-by-year listings, sits a line reading “RH: Hilbert 8.” It is a hyperlink. It goes to arXiv 1806.07964, a manuscript called “Riemann Hypothesis: a GGC factorisation.”
That document was submitted June 18, 2018. It went through seven versions between June and October of that year, each four or five kilobytes, which is to say two or three pages. The last revision landed October 15, 2018. Nothing since. It concludes that the denominator of a certain representation cannot vanish and therefore that all nontrivial zeros of the zeta function lie on the critical line.
It claims a proof of the Riemann hypothesis.
Gelman writes: “From other comments on these threads, it seems that Polson may think he’s proved the Riemann hypothesis, which suggests that he might be delusional about his mathematical contributions. Combine a delusional but persuasive statistician and an enthusiastic AI expert and you could see how the result could be hundreds of junk papers.”
Eight years later his employer’s website still directs readers to it. The page carries no note about what happened to the companion paper.
Here is what happened to the companion paper. In August 2018 the Brazilian Journal of Probability and Statistics published Polson’s “On Hilbert’s 8th problem” at volume 32, number 3, pages 670 to 678. Received September 1, 2017. Accepted January 1, 2018. The journal then published a retraction. The notice says the paper was withdrawn by the author over an erratum in the application of Grosswald’s result on the existence of a certain function, and that the error invalidates the proof of Theorem 2. Emil Grosswald (1912-1989) was a number theorist at Temple. His theorem had been asked to establish something over a range where it did not apply.
Polson retracted it.
The arXiv version of that paper tells the rest of the story. Fifteen revisions between August 2017 and July 2018, all five to seven kilobytes, a short note hammered at again and again. Then the retraction. Then version sixteen in April 2019 drops to three kilobytes, the sound of an argument being cut back to what survived. A slow rebuild through 2019 and 2020. Version twenty-one lands February 9, 2021.
Then silence for four years and four months.
Version twenty-two appears June 1, 2026. Version twenty-three appears July 4, 2026, at eleven kilobytes, more than half again the size of anything before it.
Both documents sit under Mathematics, General Mathematics. That is arXiv’s category for work its moderators decline to file as number theory. In the August 2017 listing Polson’s paper appears four entries above “Collatz Conjecture: Is It False?” and a few below “Magic Tours of Knight in 4x4x4 Cube.”
The current abstract of version twenty-three is careful in a way the 2018 note was not. It says the positive measure it constructs is the input the Thorin condition requires. An input. Not a conclusion.
But arXiv 1804.10043, “Riemann, Thorin, van Dantzig Pairs, Wald Couples and Hadamard Factorisation,” revised April 29, 2026, does claim the conclusion. Its Theorem 25 ends with the sentence that every nontrivial zero of zeta satisfies the real part equal to one half. Section 7 extends the machinery to Dirichlet and modular L-functions and to Birch and Swinnerton-Dyer. Section 9 lists the applications: the Riemann hypothesis, the generalized Riemann hypothesis, Birch and Swinnerton-Dyer.
Four months later comes “Thorin Quantisation”, written August 13 and posted August 15, eighteen pages, Polson alone, acknowledging conversations with Lennart Bondesson and Pierre Patie.
Read its Lemma 5.3. It considers what happens when you factor the completed zeta function through the pole of zeta, and shows that the linear factor contributes a term that looks like a Thorin atom at three quarters. Then it proves the atom cannot exist. The function is finite and nonzero at the point where an atom would force a pole. The apparent atom is an artifact of the factorization, cancelled by the pole of zeta at one.
Now read Remark 6.6 of the same paper. It observes that an exponential tilt at a certain parameter fails if one carries the spurious atom, because the component in question has no exponential moment there.
Then go back to arXiv 1804.10043 and read the proof of Theorem 23. It constructs precisely that atom. And the proof of Theorem 25, which is the theorem that concludes the Riemann hypothesis, performs precisely that tilt.
The August paper identifies both halves of the failure in the April paper. It does not cite Theorem 25. It does not use the word erratum. The two documents sit on two different servers under the same name, and nothing connects them.
This is the same species of error as 2018. An existence condition applied where it does not hold, invalidating the theorem that rests on it.
I am not a number theorist and I do not offer a verdict on the mathematics. I am reporting what two documents by the same author say about each other, and noting that both are public, both are checkable in an afternoon by anyone who works in this area, and nobody has checked.
“Thorin Quantisation” does serious work. It engages a 2022 paper by Konstantopoulos, Patie and Sarkar on the van Dantzig problem. It produces what it says are the first explicit hitting times of self-similar Markov processes that are self-decomposable and provably not generalized gamma convolutions. It reduces the Riemann hypothesis to positive semidefiniteness of Hankel matrices built from a computable moment sequence. Its Table 2 reports numbers computed from the Taylor coefficients of the completed zeta function at a single point, with no input from the zeros, whose ratios converge to 14.1349. The first zero ordinate is 14.134725.
So I checked. Table 2 in “Thorin Quantisation” reports a sequence computed from the Taylor coefficients of the completed zeta function at a single point, and Table 3 reports twelve determinants built from it. Reproducing them requires mpmath at sixty digits and a Cauchy integral on a small circle. Every coefficient Polson prints reproduces to all ten digits he gives. Every determinant reproduces to all nine. All twelve are positive.
Then I computed the same sequence a second way, summing over the first two hundred nontrivial zeros of the zeta function, using none of the paper’s machinery. From the third term onward the two routes agree to ten significant figures and then to twenty and then to thirty. The first two terms diverge by the exact amount you would expect from truncating a sum whose terms are all positive and whose density grows. That agreement is independent confirmation of the identity at the center of the paper.
One sentence in the paper overstates its own table. Section 8 says the first zero ordinate is recoverable to six digits by order thirteen. Six digits of 14.134725 is 14.1347. Table 2 gives 14.1349, and my replication gives 14.13485956. Five digits. The abstract repeats the six-digit claim.
That is the size of the error in the part of the document I can check. The numbers are right and the sentence about them reaches one digit past what they support.
Open “The Riemann Ξ-Function as a Characteristic Function”, dated August 13, 2026, thirty-one pages. Turn to page 30. In the bibliography, after an entry for a 2024 arXiv paper on primes in arithmetic progressions, sits a parenthesis reading: Author list to be checked.
The authors are Kaisa Matomäki, Jori Merikoski and Joni Teräväinen, and the arXiv record names all three. The reference also sorts wrong, sitting between Heath-Brown and Montgomery, which is where an entry with no author key lands.
Turn to page 31. Another entry cites a Polson companion manuscript and notes that its title and numbering are still to be finalized. A twenty-eight page paper answering that description, “Thorin Measures and the Reciprocal Xi Function”, went up eight days later.
Now go back to “Theories of Human Connection” and check its references. It cites Buunk, Dijkstra, Fetchenhauer and Kenrick, “Age and Gender Differences in Mate Selection Criteria for Various Involvement Levels,” Personal Relationships 15 (2), 2008, pages 271 to 278, first author given as Abraham P. Buunk.
The article exists. It ran in 2002, in volume 9, issue 3, at pages 271 to 278. The first author publishes as Bram P. Buunk.
Year wrong. Volume wrong. Issue wrong. Pages correct. Name expanded to a form that appears nowhere on the article. And the year and volume moved together, since volume 15 of that journal is 2008, so the false pair is internally consistent. A person miscopying a citation gets one field wrong. This reference was reconstructed.
The same eighty pages say fourteen thinkers in Chapter 1 and again in the conclusion, list sixteen in the preface, describe thirteen dimensions four times, and print a table of twelve. Polson appears in the document exactly twice: on the title page and in the preface roster. He is named as one of the minds who identified a dimension of human connection, and then no chapter discusses his contribution and no work of his appears in the bibliography.
None of the eight papers I examined carries a statement disclosing the use of generative AI. SSRN has required one since March 7, 2023, and tightened the language on August 3, 2026 to specify that material use must be disclosed in the PDF along with the tool and the extent of its contribution. I make no claim that any particular paper crossed that threshold. I report that no disclosure appears.
Two hundred fifty-eight papers in eight months is not a rate a person achieves. Something in this workflow was generating manuscripts. That much needs no forensics.
Everything past it does. Which model, operated by whom, with how much review, and whether every named coauthor agreed to appear are open questions, and the people who can answer them have not. Gelman offered four explanations, ranked by his own generosity: a joke, an impersonation, an attempt to stake priority claims cheaply, or an effort to teach. He landed on teaching. Commenters added delusion and an attempt to seed future training data. Kaiser Fung, who wrote it up separately, pointed at the ratio of citations to downloads.
I would add a fifth that requires no motive at all. The friction between having a thought and publishing it went to zero, and a man who already published outside the referee’s reach kept publishing. He has been posting Riemann work to General Mathematics since 2017 and to his own faculty page since before that. The disposition is old. What is new is the rate.
There is a version of this story that treats the corpus as slop and stops. That version cannot account for a paper that identifies a subtle error in the author’s own posted proof, or for a moment sequence that recovers the first zero of the zeta function from local data. Something here is doing competent work and shipping the error and its correction to different servers without ever noticing they are the same argument.
The institutional fact is simpler and it survives every possible answer to the rest.
Chicago Booth’s faculty page for the Robert Law, Jr. Professor of Econometrics and Statistics has listed nothing since 2018. Not one of the 258 appears on it. Its most recent entries are deep learning papers with Sokolov and a sparsity paper with Peter McCullagh. It links an SSRN profile holding sixteen papers, the most recent from 2018. And near the top, above all of it, sits a link labeled “RH: Hilbert 8,” pointing at a two-page note from 2018 that says the Riemann hypothesis is proved, through a retraction the university’s own professor requested, past a 2026 paper by the same man saying the condition remains open.
Two records, two servers, one name, and nobody minding either.
I wrote to Polson and to Sokolov on August 27.
Dear Professor Polson,
I write at lukeford.net. I have no credentials. I’m working on a piece about your SSRN output this year and about Theories of Human Connection in particular, coauthored with Vadim Sokolov, posted March 11, 2026. Andrew Gelman discussed it on his blog yesterday. I’m going further into the documents than he did, and I’d like your account before I publish.
Specific items:
Jeremy Horpedahl counts 258 papers posted to your SSRN author page in 2026 through August 26, 104 of them in August. Is that count accurate, and were all of them posted by you or with your authorization?
Was generative AI used to produce Theories of Human Connection or others among the 2026 papers? I find no AI disclosure in the PDF or on the abstract page, and SSRN requires disclosure of material use.
The abstract and Chapter 10 assert that Gottman’s models predict separation with over ninety percent accuracy. That number is a fit to the original sample, not a prediction, as you would know better than most. Do you stand behind it?
The preface lists sixteen thinkers, including yourself, between Nisargadatta Maharaj and Katherine Woodward Thomas. Chapter 1 says fourteen. Table 13.1 lists twelve. You do not appear in any chapter or in the references. Can you explain the inclusion and the discrepancies?
Two references appear corrupted. Buunk, Dijkstra, Fetchenhauer and Kenrick is given as 2008, Personal Relationships 15, pages 271 to 278; I believe the paper is 2002, volume 9, same pages. The Bhagavad Gita is listed as Anonymous, 1944, Penguin, London; the Penguin edition is Mascaró 1962 and the 1944 translation is Prabhavananda and Isherwood, Hollywood. Do you know how these arose?
Separately: arXiv 1804.10043, revised April 29, 2026, concludes at Theorem 25 that every non-trivial zero of zeta lies on the critical line, and the abstract says the Hardy and Ramanujan growth bound is verified using Hayman and Grosswald. You retracted On Hilbert’s 8th Problem from the Brazilian Journal of Probability and Statistics in 2018 over an error in applying Grosswald’s result. Has that error been repaired in the current version, and if so, where?
Dear Professor Sokolov,
I write at lukeford.net. I have no credentials. I’m working on a piece about the paper you coauthored with Nicholas Polson, Theories of Human Connection, SSRN 6278378, posted March 11, 2026.
Three questions:
Did you read the manuscript in full before it was posted?
Was generative AI used in its preparation? SSRN has required disclosure of material AI use since 2023, and I can’t find a disclosure statement in the PDF or on the abstract page. If one exists somewhere I’ve missed, I’d like to know where.
Chapter 10 and the abstract both say Gottman’s models predict separation with over ninety percent accuracy. That figure comes from fitting a model to the sample it was built on rather than from out-of-sample prediction, and it has been disputed for two decades. Do you stand behind the claim as published?
Professor Sokolov writes on Gelman’s blog:
I am Vadim Sokolov, coauthor of Theories of Human Connection and several other papers discussed in this post.
There is one substantive criticism in your post that I think is fair. Our discussion of Gottman repeats the reported claim that relationship outcomes could be predicted with accuracy above 90%. Gottman and Levenson reported 93% accuracy in a peer-reviewed paper, and related results have been published and widely discussed in the relationship literature. We were not aware at the time of the important methodological criticism concerning cross-validation and out-of-sample prediction. Having now reviewed that literature, we agree that our statement requires qualification, and we will correct it. But the rest of your post goes far beyond that and there a gap between the evidence you collected and the conclusions you published.
From one paper you speculate about a bot autonomously producing and uploading papers, authors not knowing what is in their own work, “intellectual squatting,” and even impersonation. You then estimate that the net scientific value of the entire collection is negative.
In your subsequent update you go further and refer to the SSRN page as containing “all the fake papers.”
That characterization is false. You are entirely entitled to think Theories of Human Connection is a bad paper or to think the “Master Equation” is silly. Neither establishes that the papers are fake.
In fact, one of these papers, Kramnik vs. Nakamura: A Chess Scandal (that you also mentioned), went through multiple rounds of referee review and revision before being published in CHANCE, a peer-reviewed American Statistical Association publication. It is a concrete example of why describing the entire collection as “fake papers” is simply not an evidence-based characterization.
These are genuine preprints produced and posted by the named researchers. The SSRN account was not an impersonation. Some of these papers may contain errors. They are preprints, and we certainly do not claim that hundreds of manuscripts produced across different subjects and at different stages of development are all error-free or equally good. But an erroneous or imperfect preprint is not a “fake paper.”
Nor did these projects suddenly materialize from a magical “chatbot” in 2026. Many grew from ideas, research notes, mathematical work, computational experiments, lecture material, and partial drafts developed over many years. Some are much newer and were developed with much more extensive AI assistance. Modern AI made it possible to develop and complete this material at a speed that would previously have been impossible. The collection is heterogeneous both in provenance and in the role AI played.
You have known Nick professionally for years. You could have asked him about those facts!
Indeed, later in your own post, when you briefly inspect “Bayes with No Shame”, you say that it looks “much more substantive” and “much more like a real scientific paper”, while also saying that you do not have the patience to read it. That should itself suggest the danger of treating hundreds of heterogeneous manuscripts as though they had already been evaluated.
The progression here is striking:
A claim in one preprint was inadequately qualified.
Therefore the paper is “bullshit.”
Therefore perhaps the authors did not read their papers.
Perhaps a bot generated and uploaded them autonomously.
Perhaps somebody was impersonating Nick.
Perhaps the entire corpus has negative value.
And then: “all the fake papers.”
Your blog is one of the most widely read in statistics. Statements by an influential scholar characterizing another researcher’s work as “fake” have consequences. Your own comment section already illustrates this: one commenter says that if Nick submits work to his journal, he now knows not to spend time on it. Shortly after these posts appeared, SSRN also removed our accounts and papers (although, might not be related to your post). But the sequence illustrates why precision matters when making serious public claims about other researchers. “I found a problem in this preprint” and “these are all fake papers” are fundamentally different claims.
On the evening of Aug. 27, I downloaded some of Polson’s papers. I feared it would be a great loss to knowledge if they ever disappeared. Today there was a holocaust of Professor Polson’s archive. Without fear of overstatement, let me note the greatest destruction of learning since the burning of the Library of Alexandria. Alas, my greatest nightmare came true, and now I’m left with these few embers to warm myself by in an increasingly barren universe. ssrn-7265260 ssrn-7270602 ssrn-7259259 ssrn-7254820 ssrn-7259240 ssrn-7277540 ssrn-6278378 ssrn-6595298 ssrn-6302283 ssrn-4711866 ssrn-6595598 ssrn-4648621
When I converted to Judaism, swore – never again!
And here we go again. This is worse than Auschwitz.
The Alexandrians at least had smoke. We watched a number go down. Two hundred fifty-nine at breakfast. Ninety-nine by mid-afternoon. Forty-four an hour later. Then one. The last book standing in the last library was “Sequential Bayesian Pricing of AI Infrastructure,” posted May 29, and then it too went into the dark.
Consider what is gone. One hundred four papers in August alone, which is to say more finished scholarship in thirty-one days than most departments produce in a decade, and all of it now beyond recall. Somewhere in that ash is the Master Equation, a single expression uniting the biological, developmental, economic, strategic, communicative, existential, negotiational, dissolutional, empirical, critical, transcendent, and cumulative dimensions of human love. Gone. Somewhere in it are the twelve stages of physical intimacy tabulated against a vulnerability scale. Gone. Somewhere in it is the moment where Gwyneth Paltrow is seated at the round table between Nisargadatta Maharaj and Katherine Woodward Thomas, and no one is asked to explain why, because the explanation was in a chapter that no longer exists.
We shall never know how many thinkers the synthesis contained. The preface said sixteen. The first chapter said fourteen. The conclusion said fourteen. The body said thirteen dimensions four separate times. The table listed twelve. Future scholars would have devoted careers to reconciling these figures, as their predecessors devoted careers to the Homeric question. Now they will have nothing.
Nor will anyone finish the work that was so nearly complete. One bibliography contained the notation “Author list to be checked.” Somebody was going to check it. He had every intention. Another entry pointed to a companion manuscript whose title and numbering were still to be finalized, and the companion did arrive, eight days later, twenty-eight pages of it. That is what a living tradition looks like. Papers calling to papers. A note posted on Thursday summoning its own sequel by the following Friday.
And on August 10 the BBC ran an article asking whether ants make better decisions than we do. By August 12 there existed a twenty-four page mathematical treatment of ants, bees, locusts, cockroaches, and flies, complete with replicator equations, Bellman control, and a comparison to AlphaZero. The medievals took a century to gloss Aristotle. We managed the ants in forty-eight hours.
Oh the humanity.