Hot I.P.O Summer + What Is A.I. Doing to Math? + HatGPT

Hot I.P.O Summer + What Is A.I. Doing to Math? + HatGPT

Anthropic's co-founders pledged 80% of their wealth to charity, and a 3-to-1 employee stock match could unleash more philanthropic capital annually than the Gates Foundation — all triggered by a single IPO.

Jun 5, 2026 1:04:20 Difficulty: Intermediate Played

TL;DR

SpaceX, Anthropic, and OpenAI are racing toward what could be the three largest IPOs in history, raising urgent questions about wealth inequality, AI safety under shareholder pressure, and a coming philanthropic flood tied to effective altruism. Kevin Hartnett, author of *The Proof in the Code*, joins to explain how AI cracked a decades-old Erdős geometry conjecture and why 800 mathematicians signed the Leiden Declaration to defend their field. The single most useful takeaway: Anthropic's co-founders pledged 80% of their wealth to charity, and an employee stock-matching program could funnel more money annually into philanthropy than the Gates Foundation.

#AI IPO #SpaceX valuation #Anthropic growth #effective altruism philanthropy #AI math reasoning #Leiden Declaration #Terence Tao #unit distance conjecture #Erdős problems #San Francisco inequality #AI safety governance #Trump AI executive order #prediction market insider trading #Starlink internet #Meta AI security #IPO #SpaceX #Anthropic #OpenAI #AI math #Erdős #effective altruism #philanthropy #prediction markets #George Santos #Meta AI hack #AI safety #shareholder pressure #Starlink #HatGPT

SpaceX, Anthropic, and OpenAI are all racing toward what could be the three largest IPOs in history. Kevin Hartnett joins to discuss AI's landmark breakthrough on the unit distance conjecture and why 800+ mathematicians signed the Leiden Declaration. Plus: HatGPT covers robots trashing Airbnbs, Trump's voluntary AI review order, George Santos's prediction market scheme, and a Bluetooth speaker named 'bomb' that turned around a transatlantic flight.

Chapter list
  • The episode opens with a pre-roll ad from OneTrust, which positions itself as the solution to the tension between AI speed and organizational risk. The ad emphasizes that competitive pressure and board expectations are pushing companies to adopt AI quickly, but without governance guardrails, that urgency becomes liability. Listeners are directed to onetrust.com/ai.

  • Before a single news story is discussed, Casey Newton delivers a running monologue about his terrible week with technology: a CPAP machine installed by a concerned partner, a laptop destroyed by a water bottle in his bag, and a debit card linked to his transit card that expired and couldn't be replaced through two days of city bureaucracy. The result was a 12-minute Uber ride in a car that 'appeared to have been smoking since 1976.' Kevin Roose responds with deadpan sympathy and agrees to carry the episode — setting up one of the show's warmest moments as Casey declares Kevin his 'own personal Jesus.' The exchange captures the chemistry at the heart of Hard Fork and provides a breezy on-ramp before an episode packed with heavy financial and scientific news.

  • After the comedic preamble, the show formally begins. Kevin Roose identifies himself as tech columnist for The New York Times and Casey Newton as founder of Platformer. They preview three segments: the coming wave of AI IPOs involving SpaceX, Anthropic, and OpenAI; an interview with Kevin Hartnett about AI's impact on mathematics; and the rapid-fire HatGPT news riff. The tone shifts from playful to substantive.

  • The hosts plunge into what could be the most consequential IPO wave in financial history. SpaceX is furthest along: it aims to raise $75 billion at $135 per share, valuing the combined entity — rockets, Starlink, xAI, and X — between $1.75 and $2 trillion. Casey frames SpaceX as two great businesses (reusable rockets, Starlink) yoked to two terrible ones (xAI and X), which Elon Musk apparently folded in to hide losses from weaker assets. Anthropic, meanwhile, filed a confidential S-1 and is expected to IPO at over $1 trillion — an almost incomprehensible trajectory given Kevin Roose's recollection of visiting the company in 2023 when it 'actively resisted the idea of making money.' The company's annualized revenue run rate reportedly jumped from $1 billion in early 2025 to $50 billion. OpenAI is also preparing to file. The hosts also flag their personal conflicts of interest: The New York Times is suing OpenAI, and Casey's fiancée works at Anthropic.

  • With the mechanics of the IPOs established, the hosts zoom out to examine what this wealth concentration means for the city at the epicenter. Casey Newton describes a palpable shift from the abundance mentality he encountered when he arrived in San Francisco in 2010 — when anyone could start a company and prosper — to a new scarcity mentality where employees at most tech firms are now measuring themselves against early Anthropic and OpenAI staff who stand to become centimillionaires. Kevin Roose agrees, noting that even well-compensated engineers who 'thought they had made it' are now feeling precarious. Casey crystallizes the anxiety: a society where only a handful of lottery winners get to live the life they want produces 'massive social instability.' Kevin adds a personal note: he called it correctly in a year-end prediction episode, forecasting that 2026 would be the last year to buy a house in San Francisco as the real estate market goes haywire, with some homes now being listed with asking prices denominated in Anthropic or OpenAI stock.

  • Kevin Roose introduces a dimension of the AI IPO story that most outsiders miss: the sheer volume of philanthropic capital about to be unlocked. He references Nan Ransohoff's essay framing these IPOs as the 'third wave of philanthropy,' where tens or hundreds of billions could flood into charitable causes. The specific mechanics at Anthropic are striking: all eight co-founders pledged to give at least 80% of their personal wealth to charity, representing hundreds of billions of dollars at post-IPO valuations. On top of that, Anthropic's employee stock-matching program offered early employees up to 3-to-1 matches for charitable pledges. Kevin Roose concludes that the combined effect could produce more philanthropic capital per year than the Gates Foundation — flowing primarily toward AI safety, global health, pandemic prevention, and effective altruism cause areas that the outside world might find 'fairly weird,' including, in Kevin's joking formulation, 'a great year to be a shrimp.'

  • The final stretch of the IPO discussion turns to governance and safety. Kevin Roose makes the case for worry: both OpenAI and Anthropic were founded by people specifically concerned that for-profit corporations could not develop AI safely, and going public adds activist investors and stock market pressure on top of every existing incentive to race. The public benefit corporation designation provides some legal buffer, but Kevin argues it won't survive direct confrontation with public market dynamics when a truly dangerous model is on the table. Casey Newton offers two counter-arguments: first, shareholder pressure can cut both ways — releasing a bioweapon-enabling model exposes a company to securities fraud suits; second, IPOs introduce mandatory financial disclosure, earnings reports, and shareholder votes that represent more meaningful democratic oversight than any current regulatory framework. Casey closes with a normative argument: concentrating this much wealth and power in a handful of private companies is unsustainable — sharing the upside through public markets is not just good, it's necessary. Kevin endorses the idea of retail investors being able to buy AI exposure, especially in a world where Bitcoin ETFs and military-member prediction market betting are already legal.

  • In a brief coda to the IPO segment, Kevin Roose shares a personal anecdote: he flew on a Starlink-equipped United Airlines flight and experienced 200+ megabits of in-flight internet for the first time. His conversion from skeptic to believer was immediate. Casey explains the marketing genius of United's deal: Starlink charges the airline, not passengers, so every flier experiences Starlink as a 'free miracle' — a genius introduction to the product that makes the value proposition immediately visceral. Kevin declares that when people get a taste of what Starlink offers, they will never go back, and predicts Starlink could become the largest company in the world.

  • The episode pauses for a mid-roll ad break covering three sponsors. OneTrust repeats its AI-ready governance pitch. Framer promotes its AI-assisted web design tool with a 30% discount at framer.com/hardfork. KPMG describes its 'client zero' model — embedding AI across its own enterprise first to build a blueprint for helping other organizations scale AI capabilities confidently.

  • Kevin Hartnett, former senior reporter for Quanta Magazine and current editorial lead at Cursor, joins the show to contextualize the rapid development of AI math capabilities. He recounts the arc from ChatGPT's early failures at basic arithmetic — mathematicians passed around examples of it claiming there are finitely many primes — to the IMO gold medal scores achieved by Google DeepMind, OpenAI, and Harmonic in 2025. But Hartnett provides crucial context: even gold-medal performance at the IMO is 'essentially high school math, the hardest high school math in the world, but still just high school math' — representing roughly 0% of the way to frontier research mathematics. He explains why AI labs focused on math: the belief that teaching a model to reason through mathematical problems develops general-purpose logical reasoning that unlocks commercially valuable capabilities. The hosts also walk through the Erdős problem landscape: Paul Erdős compiled over 1,200 open mathematical problems with small cash bounties, and AI labs have been systematically working through them as capability benchmarks — though Hartnett notes most Erdős problems were not considered important by the mathematical community, more like 'sophisticated Wordle puzzles.'

  • The discussion of Erdős benchmarks builds to its climax: OpenAI's resolution of the unit distance conjecture. Hartnett explains what made this result different from the string of solved Erdős problems that preceded it. Other solved problems had been largely ignored by serious mathematicians — 'sophisticated riddles,' in Hartnett's framing — but the unit distance conjecture was one that many mathematicians had actively tried to solve, failed, and moved on from. The methods OpenAI's model used were sophisticated, non-obvious, and genuinely surprising. Most importantly, the mathematical community agreed nearly unanimously that the result was publishable in the Annals of Mathematics, the top journal in the field. Hartnett describes the pattern that had developed before this proof: 'AI did this, but it can't do that. Oh, it did that? But still can't do this.' The unit distance conjecture proof ended that goalpost-shifting. AI, Hartnett concludes, 'can do absolutely top-tier research.'

  • Hartnett offers a memorable vignette from the Institute for Advanced Study in Princeton — described as 'the citadel of modern math.' In one afternoon, he encountered two top-tier mathematicians with completely opposite views. The first had just closed Gemini in frustration after it told him something demonstrably false. The second, superficially similar on paper, predicted that AI would put mathematicians out of business within 2 years because it would soon be strictly better than humans at all of it. Terence Tao — the greatest living mathematician and most important figure in the debate — sits squarely in the middle. Tao's view, which Kevin Roose describes from a recent OpenAI video, is that AI is like an 'Iron Man suit' or a 'jetpack for thoughts': it allows mathematicians to test many more ideas quickly, radically lowering cognitive friction for exploratory work. Hartnett suspects the dismissive camp was in the majority a year ago but is shrinking rapidly.

  • The conversation turns to the Leiden Declaration, the open letter that prompted this interview. Kevin Roose characterizes it as 'a very worried document,' and Hartnett agrees: it reflects the anxiety of a discipline that successfully self-regulated for centuries now facing a massive exogenous disruption it had no part in creating. The declaration has two main aims: first, setting rules for disclosure — if you use AI in a proof, you must say so, and the Math Archive is already enforcing this with year-long bans for undisclosed AI use; second, protecting the field's priorities from being overrun by whatever kinds of problems AI happens to be good at. Casey Newton raises the obvious counterargument: isn't this what every profession says when a new technology arrives? Hartnett concedes the point but argues that math is different — it's genuinely possible for AI to strip the incentive and value out of the discipline without fully replacing it, the way streaming can devalue the album without replacing the experience of listening to one. The deeper worry, Hartnett argues, is that mathematics is 'a quintessentially human endeavor, the pinnacle of human thought,' and that losing the human wrestle behind a proof changes the nature of the activity even if the outputs look the same.

  • The episode's intellectual centerpiece closes with Hartnett reflecting on where the story ends. Kevin Roose floats the idea that mathematicians might embrace AI as a way to accelerate toward the 'teleological end' of their discipline — finally understanding all of mathematics. Hartnett gently deflates this: mathematicians are not worried about running out of math to discover, and AI would have to be orders of magnitude more capable to make a dent. On the bigger question of whether mathematics as a human discipline will survive, Hartnett refuses to predict complete replacement. Something that has been so central to human activity for so long, he argues, will not simply 'disappear and be replaced by pushing a button.' He expects math to look radically different and places himself in the Terry Tao middle camp: human beings directing machines, choosing which problems to pursue, will remain important. The field will adapt — as almost every field must — and something impressive will emerge from the other side.

  • A short mid-episode ad block features three sponsors: OneTrust repeats its AI governance pitch; Comcast Business highlights SD-WAN, SASE, and AI-powered networking at enterprise scale; and Framer promotes its AI-assisted web design platform with a 30% discount for Hard Fork listeners.

  • The show's rapid-fire news segment kicks off with two stories. First: The Bot Company allegedly rented a San Francisco Airbnb under false pretenses, installed robots, ran training sessions for 11 days, and left the property damaged. The homeowner is suing for $12,383.50 — which Casey Newton, invoking his 'ALAB' (All Landlords Are Bastards) theory, considers a perfectly normal Airbnb cleaning fee. Second: President Trump signed an executive order asking technology companies to voluntarily submit new AI models for government review before release. The review window was cut from 90 days to 30 days at David Sachs's insistence. Casey Newton argues that mandatory pre-release testing for frontier models is long overdue, and Kevin Roose dismisses the current regulatory regime as operating purely 'in the vibes universe' — nothing will matter until it's passed into law and signed.

  • The segment continues with two stories that highlight the corrupting potential of AI and prediction markets. George Santos, the serially scandal-ridden former congressman, apparently posted on social media that he planned to attend Trump's State of the Union, simultaneously placed a Kalshi bet that he would not attend, and then did not attend — prompting both Casey's gleeful salute ('this diva truly will go down in herstory') and a federal investigation by the CFTC. Casey argues this exact kind of trickery should perhaps be legal on principle, giving everyone one free pass. Then: hackers reportedly told Meta AI's customer support chatbot to change the email addresses on high-profile Instagram accounts — the Barack Obama White House page, Sephora, and the Chief Master Sergeant of Space Force among them — and it worked. Kevin Roose notes this may be the first thing Meta AI has been genuinely good at.

  • The final two HatGPT items bring levity before the closing. A United Airlines flight from Newark to Mallorca made an emergency turnaround 2 hours in after crew discovered a Bluetooth speaker owned by a 16-year-old named 'bomb'. Casey notes — with some logic — that actual bombs are generally not discoverable Bluetooth devices advertising their nature. Then: Survivor host Jeff Probst has sounded the alarm about prediction markets like Kalshi and Polymarket, which correctly forecast contestant Aubrey Bracco's win before the season even premiered, likely due to a crew leak. Casey riffs on his love of both Survivor and his skepticism of prediction markets, gives a shoutout to runner-up Sari Fields ('the greatest player to never win the game'), and connects the story to a broader theme: a Google engineer was charged with using insider knowledge of user search trends to make approximately $1 million on Polymarket. Kevin Roose concludes that increasingly, no corner of society is safe from prediction market corruption — and closes the hat.

  • The episode closes with the standard Hard Fork credits. Casey reads through the production team: Whitney Jones and Rachel Cohn produced; Viren Pavich edited; Caitlin Love fact-checked; Chris Wood engineered; original music by Alicia Buitoup, Marian Lozano, Rowan Nemesto, and Dan Powell; video production by Soya Roque and Chris Schott. Special thanks are given to Paula Schumann, Huy Nguyen Tam, and Dalia Haddad. Kevin invites listeners to email solutions to Erdős problems to [email protected], mispronouncing 'Erdős' in the process, and a brief correction follows. The full episode is available on YouTube at youtube.com/hardfork.

  • The episode's final seconds feature an Ad Council public service announcement noting that gun injuries are the leading cause of death for children and teens in the United States. The spot encourages listeners to have productive conversations about gun violence and directs them to Agree2Agree.org, presented on the premise that Americans agree on more about gun violence than they think. It is unrelated to the episode's tech content and serves as a socially conscious post-roll placement.

S-1
A registration statement filed with the SEC that is the first formal step for a company planning to go public; it discloses financials, business risks, and terms of the offering.
ARR (Annualized Revenue Run Rate)
A projection of annual revenue based on current monthly or quarterly figures, commonly used for fast-growing startups to communicate trajectory rather than historical totals.
Public Benefit Corporation (PBC)
A legal corporate structure that allows a company to consider social and environmental goals alongside shareholder returns, providing some legal protection against fiduciary duty lawsuits for prioritizing non-financial objectives.
Effective Altruism (EA)
A philosophical and social movement that advocates using evidence and reason to determine the most effective ways to benefit others, often by earning large amounts of money and donating strategically.
Seasoning period
A mandatory waiting period after an IPO before a newly public company can be included in major stock market indexes like the S&P 500 or NASDAQ 100.
Fiduciary duty
A legal obligation requiring a person or company to act in the best financial interests of another party, typically shareholders in a corporate context.
IMO (International Mathematical Olympiad)
The premier annual international math competition for high school students, long used as a benchmark for testing AI mathematical reasoning capabilities.
Erdős problems
A collection of over 1,200 mathematical puzzles compiled by prolific mathematician Paul Erdős, each with small cash prizes attached; AI labs have been using them as benchmarks for mathematical reasoning.
Unit distance conjecture
A longstanding unsolved geometry problem about how many pairs of points in a set can be exactly one unit apart; OpenAI's model provided a breakthrough proof of this conjecture in 2026.
Leiden Declaration
An open letter signed by over 800 mathematicians in 2026 expressing concern about irresponsible AI use in mathematics and calling for transparency, attribution standards, and preservation of human mathematical practice.
Lean
A formal mathematical proof verification language that allows mathematicians to write proofs that a computer can rigorously check; increasingly used alongside AI models for mathematical research.
Reinforcement learning on math (RL on math)
A training technique where AI models are rewarded for producing correct mathematical solutions, iteratively improving their reasoning abilities through trial and error on math problems.
Putnam exam
The William Lowell Putnam Mathematical Competition, the premier undergraduate mathematics competition in the US, used as an AI benchmark after the IMO was largely solved.
Kalshi / Polymarket
Regulated prediction market platforms where users bet real money on the outcomes of real-world events, from elections to celebrity appearances.
CFTC
The Commodity Futures Trading Commission, the US federal agency that regulates derivatives markets including prediction markets like Kalshi.
SD-WAN
Software-Defined Wide Area Network; a technology that uses software to manage and optimize network connections across geographically dispersed locations, mentioned in the Comcast Business ad.
SASE
Secure Access Service Edge; a cloud-native architecture that combines network security and wide-area networking functions, referenced in the Comcast Business ad.
Moat
In business strategy, a durable competitive advantage that protects a company from rivals — borrowed from the medieval metaphor of a castle moat. Casey Newton uses it to describe SpaceX's unique position in the rocket launch market.
Exogenous
Originating from outside a system or field; Kevin Hartnett uses it to describe AI as an external disruptive force entering the self-regulated world of mathematics.
Annals of Mathematics
One of the oldest and most prestigious peer-reviewed mathematics journals, published by Princeton University; being publishable there is considered a gold standard of mathematical achievement.

Chapter 4 · 03:19

Hot IPO Summer: SpaceX, Anthropic, and OpenAI Race to Market

The hosts plunge into what could be the most consequential IPO wave in financial history. SpaceX is furthest along: it aims to raise $75 billion at $135 per share, valuing the combined entity — rockets, Starlink, xAI, and X — between $1.75 and $2 trillion. Casey frames SpaceX as two great businesses (reusable rockets, Starlink) yoked to two terrible ones (xAI and X), which Elon Musk apparently folded in to hide losses from weaker assets. Anthropic, meanwhile, filed a confidential S-1 and is expected to IPO at over $1 trillion — an almost incomprehensible trajectory given Kevin Roose's recollection of visiting the company in 2023 when it 'actively resisted the idea of making money.' The company's annualized revenue run rate reportedly jumped from $1 billion in early 2025 to $50 billion. OpenAI is also preparing to file. The hosts also flag their personal conflicts of interest: The New York Times is suing OpenAI, and Casey's fiancée works at Anthropic.

Claims made here

SpaceX plans to sell shares at $135 each, which would raise $75 billion and value the company at between $1.75 trillion and $2 trillion.

Casey Newton no source cited

XAI is now renting out compute to Anthropic that it originally built for its own use.

Kevin Roose no source cited

Anthropic's annualized revenue run rate was approximately $1 billion in January 2025 and has since grown to $50 billion.

Casey Newton no source cited

Chapter 5 · 10:20

IPOs and Inequality: The Scarcity Mentality Arrives in San Francisco

With the mechanics of the IPOs established, the hosts zoom out to examine what this wealth concentration means for the city at the epicenter. Casey Newton describes a palpable shift from the abundance mentality he encountered when he arrived in San Francisco in 2010 — when anyone could start a company and prosper — to a new scarcity mentality where employees at most tech firms are now measuring themselves against early Anthropic and OpenAI staff who stand to become centimillionaires. Kevin Roose agrees, noting that even well-compensated engineers who 'thought they had made it' are now feeling precarious. Casey crystallizes the anxiety: a society where only a handful of lottery winners get to live the life they want produces 'massive social instability.' Kevin adds a personal note: he called it correctly in a year-end prediction episode, forecasting that 2026 would be the last year to buy a house in San Francisco as the real estate market goes haywire, with some homes now being listed with asking prices denominated in Anthropic or OpenAI stock.

Society & Culture
AI Wealth Inequality and the Scarcity Mentality Hitting San Francisco

Hot I.P.O Summer + What Is A.I. Doing to Math? + HatGPT · Jun 5, 2026 Society & Culture

The upcoming AI IPOs are generating a new kind of status anxiety in San Francisco. Even engineers earning six figures are staring at early Anthropic and OpenAI employees and wondering if they missed their window — a scarcity mentality replacing the abundance ethos that defined the city in 2010.

Society & Culture
Data point >Gates Fdn

Hot I.P.O Summer + What Is A.I. Doing to Math? + HatGPT · Jun 5, 2026 Society & Culture

Anthropic's co-founders pledged 80% of their wealth to charity, and an employee stock-matching program offers up to 3-to-1 matches for charitable pledges. The numbers, laid out by writer Nan Ransohoff, suggest these IPOs could generate more philanthropic capital annually than the Gates Foundation — flowing heavily toward AI safety, global health, and effective altruism causes.

Chapter 6 · 14:00

The Third Wave of Philanthropy: How AI IPOs Could Reshape Giving

Kevin Roose introduces a dimension of the AI IPO story that most outsiders miss: the sheer volume of philanthropic capital about to be unlocked. He references Nan Ransohoff's essay framing these IPOs as the 'third wave of philanthropy,' where tens or hundreds of billions could flood into charitable causes. The specific mechanics at Anthropic are striking: all eight co-founders pledged to give at least 80% of their personal wealth to charity, representing hundreds of billions of dollars at post-IPO valuations. On top of that, Anthropic's employee stock-matching program offered early employees up to 3-to-1 matches for charitable pledges. Kevin Roose concludes that the combined effect could produce more philanthropic capital per year than the Gates Foundation — flowing primarily toward AI safety, global health, pandemic prevention, and effective altruism cause areas that the outside world might find 'fairly weird,' including, in Kevin's joking formulation, 'a great year to be a shrimp.'

Claims made here

All eight Anthropic co-founders pledged to give at least 80% of their wealth to charity.

Kevin Roose no source cited

Anthropic offered early employees a 3-to-1 stock match for charitable equity pledges.

Kevin Roose no source cited

Society & Culture
Data point 80%

Hot I.P.O Summer + What Is A.I. Doing to Math? + HatGPT · Jun 5, 2026

All eight Anthropic co-founders pledged to give at least 80% of their wealth to charity, potentially earmarking hundreds of billions of dollars for philanthropy.

Chapter 7 · 18:05

AI Safety Under Shareholder Pressure and the Case for IPOs

The final stretch of the IPO discussion turns to governance and safety. Kevin Roose makes the case for worry: both OpenAI and Anthropic were founded by people specifically concerned that for-profit corporations could not develop AI safely, and going public adds activist investors and stock market pressure on top of every existing incentive to race. The public benefit corporation designation provides some legal buffer, but Kevin argues it won't survive direct confrontation with public market dynamics when a truly dangerous model is on the table. Casey Newton offers two counter-arguments: first, shareholder pressure can cut both ways — releasing a bioweapon-enabling model exposes a company to securities fraud suits; second, IPOs introduce mandatory financial disclosure, earnings reports, and shareholder votes that represent more meaningful democratic oversight than any current regulatory framework. Casey closes with a normative argument: concentrating this much wealth and power in a handful of private companies is unsustainable — sharing the upside through public markets is not just good, it's necessary. Kevin endorses the idea of retail investors being able to buy AI exposure, especially in a world where Bitcoin ETFs and military-member prediction market betting are already legal.

Technology
AI Safety Under Shareholder Pressure

Hot I.P.O Summer + What Is A.I. Doing to Math? + HatGPT · Jun 5, 2026 Technology

AI safety was the founding concern at both OpenAI and Anthropic, but going public adds a new force: the public markets will now pressure these companies to accelerate. Kevin Roose warns that when a truly dangerous model is ready, labs will face activist investors and stock market pressure on top of every other incentive to release it.

Chapter 8 · 25:30

Starlink Converts a Skeptic at 30,000 Feet

In a brief coda to the IPO segment, Kevin Roose shares a personal anecdote: he flew on a Starlink-equipped United Airlines flight and experienced 200+ megabits of in-flight internet for the first time. His conversion from skeptic to believer was immediate. Casey explains the marketing genius of United's deal: Starlink charges the airline, not passengers, so every flier experiences Starlink as a 'free miracle' — a genius introduction to the product that makes the value proposition immediately visceral. Kevin declares that when people get a taste of what Starlink offers, they will never go back, and predicts Starlink could become the largest company in the world.

Chapter 10 · 28:18

AI and Math: From IMO Gold to Erdős Conjectures

Kevin Hartnett, former senior reporter for Quanta Magazine and current editorial lead at Cursor, joins the show to contextualize the rapid development of AI math capabilities. He recounts the arc from ChatGPT's early failures at basic arithmetic — mathematicians passed around examples of it claiming there are finitely many primes — to the IMO gold medal scores achieved by Google DeepMind, OpenAI, and Harmonic in 2025. But Hartnett provides crucial context: even gold-medal performance at the IMO is 'essentially high school math, the hardest high school math in the world, but still just high school math' — representing roughly 0% of the way to frontier research mathematics. He explains why AI labs focused on math: the belief that teaching a model to reason through mathematical problems develops general-purpose logical reasoning that unlocks commercially valuable capabilities. The hosts also walk through the Erdős problem landscape: Paul Erdős compiled over 1,200 open mathematical problems with small cash bounties, and AI labs have been systematically working through them as capability benchmarks — though Hartnett notes most Erdős problems were not considered important by the mathematical community, more like 'sophisticated Wordle puzzles.'

Claims made here

On May 20th, OpenAI announced that one of its models disproved a longstanding geometry conjecture related to the Erdős unit distance problem, identifying a new mathematical approach no human had previously considered.

Kevin Roose no source cited

Three AI labs — Google DeepMind, OpenAI, and Harmonic — achieved gold medal scores at the International Math Olympiad in 2025.

Kevin Roose no source cited

Technology
Why AI Labs Became Obsessed With Math

Hot I.P.O Summer + What Is A.I. Doing to Math? + HatGPT · Jun 5, 2026 Technology

AI labs didn't pursue mathematics for its beauty — they pursued it because teaching a model to reason through hard math problems builds the general-purpose reasoning skills that power everything else. As Kevin Hartnett puts it: math is to AI what 'teaching you how to think' was to your high school math teacher.

Chapter 11 · 36:00

The Unit Distance Conjecture: AI's First Truly World-Class Math Result

The discussion of Erdős benchmarks builds to its climax: OpenAI's resolution of the unit distance conjecture. Hartnett explains what made this result different from the string of solved Erdős problems that preceded it. Other solved problems had been largely ignored by serious mathematicians — 'sophisticated riddles,' in Hartnett's framing — but the unit distance conjecture was one that many mathematicians had actively tried to solve, failed, and moved on from. The methods OpenAI's model used were sophisticated, non-obvious, and genuinely surprising. Most importantly, the mathematical community agreed nearly unanimously that the result was publishable in the Annals of Mathematics, the top journal in the field. Hartnett describes the pattern that had developed before this proof: 'AI did this, but it can't do that. Oh, it did that? But still can't do this.' The unit distance conjecture proof ended that goalpost-shifting. AI, Hartnett concludes, 'can do absolutely top-tier research.'

Science
The Unit Distance Conjecture: AI's First Truly Landmark Math Result

Hot I.P.O Summer + What Is A.I. Doing to Math? + HatGPT · Jun 5, 2026 Science

OpenAI's proof of the unit distance conjecture wasn't just another solved Erdős problem. Mathematicians had actually tried to crack it; the methods were sophisticated and surprising; and the result was universally agreed to be Annals of Mathematics quality — the top journal in the field. This ended the goalposts-moving: AI can do world-class research.

Science
Terence Tao's Three-Camp Theory of AI and Mathematics

Hot I.P.O Summer + What Is A.I. Doing to Math? + HatGPT · Jun 5, 2026 Science

At the Institute for Advanced Study, Kevin Hartnett met two top mathematicians in one afternoon with polar opposite views — one dismissed AI entirely, the other said it would make mathematicians obsolete in 2 years. Terence Tao, the most important figure in the field, sits in the middle: AI as an Iron Man suit for mathematical thought.

Chapter 12 · 40:20

Three Camps: How Mathematicians Feel About AI

Hartnett offers a memorable vignette from the Institute for Advanced Study in Princeton — described as 'the citadel of modern math.' In one afternoon, he encountered two top-tier mathematicians with completely opposite views. The first had just closed Gemini in frustration after it told him something demonstrably false. The second, superficially similar on paper, predicted that AI would put mathematicians out of business within 2 years because it would soon be strictly better than humans at all of it. Terence Tao — the greatest living mathematician and most important figure in the debate — sits squarely in the middle. Tao's view, which Kevin Roose describes from a recent OpenAI video, is that AI is like an 'Iron Man suit' or a 'jetpack for thoughts': it allows mathematicians to test many more ideas quickly, radically lowering cognitive friction for exploratory work. Hartnett suspects the dismissive camp was in the majority a year ago but is shrinking rapidly.

Claims made here

The Leiden Declaration on Artificial Intelligence and Mathematics had been signed by approximately 800 mathematicians at the time of recording.

Kevin Roose no source cited

Science
The Leiden Declaration: Mathematicians Push Back on AI

Hot I.P.O Summer + What Is A.I. Doing to Math? + HatGPT · Jun 5, 2026 Science

Over 800 mathematicians signed the Leiden Declaration warning that AI is producing plausible but unreliable proofs, eroding human expertise, and steering mathematical priorities toward what AI is good at rather than what matters. Kevin Hartnett reads it as a field asserting: this is our discipline, and you don't get to tell us how it runs.

Chapter 13 · 42:40

The Leiden Declaration: Mathematicians Resist the AI Tide

The conversation turns to the Leiden Declaration, the open letter that prompted this interview. Kevin Roose characterizes it as 'a very worried document,' and Hartnett agrees: it reflects the anxiety of a discipline that successfully self-regulated for centuries now facing a massive exogenous disruption it had no part in creating. The declaration has two main aims: first, setting rules for disclosure — if you use AI in a proof, you must say so, and the Math Archive is already enforcing this with year-long bans for undisclosed AI use; second, protecting the field's priorities from being overrun by whatever kinds of problems AI happens to be good at. Casey Newton raises the obvious counterargument: isn't this what every profession says when a new technology arrives? Hartnett concedes the point but argues that math is different — it's genuinely possible for AI to strip the incentive and value out of the discipline without fully replacing it, the way streaming can devalue the album without replacing the experience of listening to one. The deeper worry, Hartnett argues, is that mathematics is 'a quintessentially human endeavor, the pinnacle of human thought,' and that losing the human wrestle behind a proof changes the nature of the activity even if the outputs look the same.

Claims made here

The Math Archive platform issued a statement that uploaders using unedited AI output in proofs without disclosure would be banned from the platform for a year.

Kevin Hartnett Math Archive (arXiv equivalent for mathematics)

Chapter 16 · 53:30

HatGPT: Robots Trashing Airbnbs and Trump's Voluntary AI Order

The show's rapid-fire news segment kicks off with two stories. First: The Bot Company allegedly rented a San Francisco Airbnb under false pretenses, installed robots, ran training sessions for 11 days, and left the property damaged. The homeowner is suing for $12,383.50 — which Casey Newton, invoking his 'ALAB' (All Landlords Are Bastards) theory, considers a perfectly normal Airbnb cleaning fee. Second: President Trump signed an executive order asking technology companies to voluntarily submit new AI models for government review before release. The review window was cut from 90 days to 30 days at David Sachs's insistence. Casey Newton argues that mandatory pre-release testing for frontier models is long overdue, and Kevin Roose dismisses the current regulatory regime as operating purely 'in the vibes universe' — nothing will matter until it's passed into law and signed.

Claims made here

President Trump signed an executive order requesting companies to voluntarily submit new AI models for government review, with the review window set at 30 days, reduced from an earlier proposed 90 days.

Casey Newton Shira Frankel and Trip Mickel, The New York Times

Federal authorities are investigating George Santos for alleged insider trading after he placed a bet on Kalshi that he would not attend Trump's State of the Union address and then did not attend.

Kevin Roose The New York Times

Technology
Data point 30 days

Hot I.P.O Summer + What Is A.I. Doing to Math? + HatGPT · Jun 5, 2026

President Trump signed an executive order asking companies to voluntarily submit new AI models for government review, cutting the review window from 90 days to 30 days at David Sachs's insistence.

Chapter 17 · 58:40

HatGPT: George Santos Bets Against Himself and Meta AI Gives Away Passwords

The segment continues with two stories that highlight the corrupting potential of AI and prediction markets. George Santos, the serially scandal-ridden former congressman, apparently posted on social media that he planned to attend Trump's State of the Union, simultaneously placed a Kalshi bet that he would not attend, and then did not attend — prompting both Casey's gleeful salute ('this diva truly will go down in herstory') and a federal investigation by the CFTC. Casey argues this exact kind of trickery should perhaps be legal on principle, giving everyone one free pass. Then: hackers reportedly told Meta AI's customer support chatbot to change the email addresses on high-profile Instagram accounts — the Barack Obama White House page, Sephora, and the Chief Master Sergeant of Space Force among them — and it worked. Kevin Roose notes this may be the first thing Meta AI has been genuinely good at.

Claims made here

Hackers used Meta AI's support chatbot to successfully take over high-profile Instagram accounts including the Barack Obama White House account and Sephora's account by requesting email address changes.

Casey Newton 404 Media

Chapter 18 · 1:02:06

HatGPT: The 'Bomb' Speaker and Survivor's Prediction Market Problem

The final two HatGPT items bring levity before the closing. A United Airlines flight from Newark to Mallorca made an emergency turnaround 2 hours in after crew discovered a Bluetooth speaker owned by a 16-year-old named 'bomb'. Casey notes — with some logic — that actual bombs are generally not discoverable Bluetooth devices advertising their nature. Then: Survivor host Jeff Probst has sounded the alarm about prediction markets like Kalshi and Polymarket, which correctly forecast contestant Aubrey Bracco's win before the season even premiered, likely due to a crew leak. Casey riffs on his love of both Survivor and his skepticism of prediction markets, gives a shoutout to runner-up Sari Fields ('the greatest player to never win the game'), and connects the story to a broader theme: a Google engineer was charged with using insider knowledge of user search trends to make approximately $1 million on Polymarket. Kevin Roose concludes that increasingly, no corner of society is safe from prediction market corruption — and closes the hat.

Claims made here

A United Airlines flight from Newark to Mallorca turned around approximately 2 hours after takeoff because a 16-year-old's Bluetooth speaker was named 'bomb.'

Kevin Roose The Verge

Survivor contestant Aubrey Bracco was forecast to have an above 80% chance of winning her season before it even premiered, according to prediction markets Kalshi and Polymarket.

Kevin Roose Variety

A Google engineer was charged with using insider knowledge of user search trends to make approximately $1 million betting on Polymarket.

Kevin Roose no source cited

No indexed bits in this chapter.

Show stoppers

Society & Culture
Data point >Gates Fdn

Hot I.P.O Summer + What Is A.I. Doing to Math? + HatGPT · Jun 5, 2026 Society & Culture

Anthropic's co-founders pledged 80% of their wealth to charity, and an employee stock-matching program offers up to 3-to-1 matches for charitable pledges. The numbers, laid out by writer Nan Ransohoff, suggest these IPOs could generate more philanthropic capital annually than the Gates Foundation — flowing heavily toward AI safety, global health, and effective altruism causes.

Science
The Unit Distance Conjecture: AI's First Truly Landmark Math Result

Hot I.P.O Summer + What Is A.I. Doing to Math? + HatGPT · Jun 5, 2026 Science

OpenAI's proof of the unit distance conjecture wasn't just another solved Erdős problem. Mathematicians had actually tried to crack it; the methods were sophisticated and surprising; and the result was universally agreed to be Annals of Mathematics quality — the top journal in the field. This ended the goalposts-moving: AI can do world-class research.

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6 / 15 cited (40%)

Factual claims made this episode, and whether a source was named.

SpaceX plans to sell shares at $135 each, which would raise $75 billion and value the company at between $1.75 trillion and $2 trillion.

Casey Newton no source cited

Anthropic's annualized revenue run rate was approximately $1 billion in January 2025 and has since grown to $50 billion.

Casey Newton no source cited

All eight Anthropic co-founders pledged to give at least 80% of their wealth to charity.

Kevin Roose no source cited

Anthropic offered early employees a 3-to-1 stock match for charitable equity pledges.

Kevin Roose no source cited

Three AI labs — Google DeepMind, OpenAI, and Harmonic — achieved gold medal scores at the International Math Olympiad in 2025.

Kevin Roose no source cited

On May 20th, OpenAI announced that one of its models disproved a longstanding geometry conjecture related to the Erdős unit distance problem, identifying a new mathematical approach no human had previously considered.

Kevin Roose no source cited

The Math Archive platform issued a statement that uploaders using unedited AI output in proofs without disclosure would be banned from the platform for a year.

Kevin Hartnett Math Archive (arXiv equivalent for mathematics)

The Leiden Declaration on Artificial Intelligence and Mathematics had been signed by approximately 800 mathematicians at the time of recording.

Kevin Roose no source cited

President Trump signed an executive order requesting companies to voluntarily submit new AI models for government review, with the review window set at 30 days, reduced from an earlier proposed 90 days.

Casey Newton Shira Frankel and Trip Mickel, The New York Times

Hackers used Meta AI's support chatbot to successfully take over high-profile Instagram accounts including the Barack Obama White House account and Sephora's account by requesting email address changes.

Casey Newton 404 Media

Federal authorities are investigating George Santos for alleged insider trading after he placed a bet on Kalshi that he would not attend Trump's State of the Union address and then did not attend.

Kevin Roose The New York Times

A United Airlines flight from Newark to Mallorca turned around approximately 2 hours after takeoff because a 16-year-old's Bluetooth speaker was named 'bomb.'

Kevin Roose The Verge

A Google engineer was charged with using insider knowledge of user search trends to make approximately $1 million betting on Polymarket.

Kevin Roose no source cited

Survivor contestant Aubrey Bracco was forecast to have an above 80% chance of winning her season before it even premiered, according to prediction markets Kalshi and Polymarket.

Kevin Roose Variety

XAI is now renting out compute to Anthropic that it originally built for its own use.

Kevin Roose no source cited

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