Business
American Airlines credit card annual fee is rising to $150 with new perks
The era of the standard $99 airline credit card may be fading as American Airlines becomes the latest major carrier to adjust its price tag.
Beginning Jan. 24, 2027, the annual fee for both the Citi/AAdvantage Platinum Select MasterCard and the Citi/AAdvantage Business MasterCard will jump from $99 to $150, according to a company press release.
The adjustment marks the first price hike for the popular Platinum Select consumer card since 2018, signaling a shift in the travel rewards landscape.
MAJOR AIRLINE DITCHES SNACKS DURING SHORT FLIGHTS AS ‘ZERO SERVICE’ SPARKS DEBATE
To soften the blow of a nearly 52% fee increase, American Airlines, Citi and MasterCard are adding several new travel and lifestyle perks.
Whether those additions make up for the $51 increase will depend largely on how travelers use the card, Nick Ewen, editor-in-chief of The Points Guy, told Fox News Digital.
“You have to look at the real dollar value based on your own travel habits,” said Ewen, who is based in Florida.
Cardholders will gain additional ways to earn AAdvantage miles on everyday spending, along with up to $120 toward Global Entry or TSA PreCheck application fees every four years, American Airlines confirmed.
Additionally, a new $100 annual statement credit for in-flight purchases will replace the previous 25% food and beverage discount.
This makes the card significantly more rewarding for travelers, as the credit can be applied toward broad in-flight expenses, including Wi-Fi, which was explicitly excluded under the old discount system.
“You may not be able to stomach that additional increased annual fee.”
For someone who regularly spends money aboard American flights or already pays for Global Entry or TSA PreCheck, Ewen said the new credits could help offset the higher annual fee.
“If the answer is yes, you’re definitely going to come out ahead,” he said of travelers who typically spend up to $100 on in-flight purchases each year.
PASSENGER JET BOUND FOR US PLUNGES 27,000 FEET BEFORE CIRCLING FOR HOURS
The changes may not be for everyone, however.
“If you’re only flying American once a year, you may not be able to stomach that additional increased annual fee,” he said.
The changes also include adjustments to how cardholders can rack up rewards on everyday purchases, according to the press release.
The personal Platinum Select card will offer three miles per dollar on eligible AAdvantage Hotels and Cars bookings and two miles per dollar on gas and EV charging, select streaming services, and eligible Rides and Rails purchases.
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Existing perks — including preferred boarding, no foreign transaction fees and a free first checked bag on domestic American itineraries for the cardholder and up to four companions — will remain intact.
Ewen said the higher fee follows a broader shift among airline rewards cards.
“American is far from the first airline that we’ve seen this increase in their annual fees,” he said, pointing to similar changes from Delta, Southwest and United.
Entry-level airline cards that once hovered around $100 annually are increasingly moving closer to $150, Ewen said.
“This is definitely the norm, although it’s not universal across the board,” he added.
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The move by American Airlines aligns with a broader trend sweeping the credit card sector.
Over the past few years, the travel rewards market has seen steady fee inflation as issuers pack mid-tier and premium cards with statement credits and subscription services.
The move by American Airlines aligns with a broader trend sweeping the credit card sector.
Financial institutions are betting consumers will accept higher upfront costs in exchange for tangible, use-it-or-lose-it perks, transforming traditional flight-focused credit cards into broader lifestyle products, according to reports.
The changes drew mixed reactions from cardholders online.
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“Call me crazy, but none of this is an upgrade,” one Reddit user commented.
Another questioned the value of the new in-flight credit.
“These inflight credit[s] [are] annoying,” the person wrote. “They don’t even stock them except for longer flights.”
Others were more receptive to the new benefits, with one commenter pointing to the Global Entry or TSA PreCheck credit as a reason the higher fee could be worthwhile.
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“This has become more of a respectable airline card in my opinion now with this refresh,” one user wrote.
Business
Caterpillar Stock Dives, Dig Hole For Dow Jones Industrial Average, On Sales, Outlook
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Business
A fired federal worker shamed on ‘DEI Watchlist’ struggles to find a job
Efforts to purge the government of diversity, equity and inclusion programs have taken a major toll on Black workers who now struggle to find comparable jobs.
Today at 6:00 a.m. EDT
On his 368th day without a job, Dia Harris woke at 8:30, slipped a coffee pod into his Keurig and checked his iPad to see how many more rejections had come in overnight.
There were two automated messages from “Meta Careers,” thanking him for applying to be a program manager. “Our recruiting team will contact you if your qualifications are a strong match,” Harris read. By his count, those were the 560th and 561st roles he’d sought since getting fired from the federal government.
Business
DoorDash to acquire Instacart for $17 billion
Delivery giant DoorDash is buying to-your-door grocery service Instacart for $17 billion, the company announced Thursday.
The deal means users will be able to order groceries and items from other retailers via DoorDash and its delivery network.
The companies said Instacart customers can now shop at more than 50,000 additional stores on top of the nearly 100,000 stores on the Instacart platform today. DashPass and Instacart+ members will now also pay one membership fee instead of two.
DoorDash is expected to keep the Instacart brand and its technology. Until the transaction closes, DoorDash and Instacart will continue to operate as separate and independent companies.
“Over the last 14 years, Instacart has transformed online grocery by helping retailers of all sizes compete and grow, and joining forces with DoorDash allows us to do even more,” Instacart CEO Chris Rogers said.
DoorDash shares gained more than 9% in pre-market trading Thursday.
The deal represents the latest chapter of consolidation in the delivery industry. Last year, DoorDash bought United Kingdom-based Deliveroo, while Uber now owns Postmates and Delivery Hero.
DoorDash has emerged as the most successful stand-alone online delivery platform in America, commanding some two-thirds of all food delivery volumes as of 2024, according to Bloomberg data.
But over the past year, the company has seen its share price decline by approximately a third, largely due to rising costs.
Instacart, meanwhile, reached the pinnacle of its success during the Covid pandemic, when lockdowns sent millions of consumers to their phones to order grocery deliveries.
But the company’s stock has gone nowhere over the past two years, as Instacart struggled to find new paths to growth while facing increasing competition from Amazon and Walmart’s grocery delivery offerings.
While a merger would create cost savings by allowing the combined company to reduce its corporate workforce and split some expenses, it’s not clear how much more money there remains that can be squeezed out of delivery customers.
Americans who eat at home have begun to complain about the price of food delivery — and the pinch has only worsened this year amid soaring fuel costs, which have led to new fees and surcharges.
A recent debate about the cost of having a burrito delivered went viral, as social media users argued over whether $20 was a reasonable price to pay to have the Tex-Mex treat delivered.
Platforms such as DoorDash and Instacart have also faced legal scrutiny over how they treat those who make deliveries for their respective platforms. Last month, DoorDash settled with New York City regulators for $131.5 million to resolve charges it deprived workers of millions of dollars in tips.
“Simply put, we screwed up,” the San Francisco-based company said in a statement. “Our mistakes meant some Dashers were underpaid or paid late. While these mistakes weren’t intentional, that doesn’t make them okay.”
The proposed transaction was first reported by tech website The Information and The Wall Street Journal.
Business
Lilly reports third-quarter 2026 financial results, raises full-year guidance and highlights regulatory progress across the portfolio
Revenue in Q3 2026 increased 39% to $24.4 billion driven primarily by Mounjaro and Zepbound.
Q3 revenue included approximately $900 million of benefits, primarily from $410 million of Jardiance milestones (no further milestones remain) and favorable adjustments to rebate and discount estimates.
Q3 2026 EPS increased by 16% to $7.22 on a reported basis and increased by 7% to $7.48 on a non-GAAP basis. Q3 2026 reported and non-GAAP EPS included $4.57 of acquired IPR&D charges compared to $0.71 in Q3 2025.
Increased the midpoint of our 2026 full-year revenue guidance by $5.5 billion to be in the range of $91.0 to $92.0 billion and raised underlying non-GAAP EPS guidance for the full year by $4.07 at the midpoint, which was more than offset by $4.57 of acquired IPR&D charges from Q3 business development activity, resulting in an updated range of $35.00 to $36.00.
Regulatory progress included U.S. FDA approvals of Mounjaro to reduce cardiovascular risk in adults with type 2 diabetes; Onswik, a once-weekly basal insulin for adults with type 2 diabetes; Inluriyo with Verzenio for adults with ER+, HER2-, ESR1-mutated advanced or metastatic breast cancer; and an expanded indication for Jaypirca in adults with untreated chronic lymphocytic leukemia or small lymphocytic lymphoma.
Pipeline highlights included positive topline results from a head-to-head Phase 3 trial of retatrutide versus Ozempic 2 mg in adults with type 2 diabetes, Phase 3 results from Ebglyss in moderate-to-severe hand and foot atopic dermatitis and Phase 2 results from EloraTZP in adults with obesity and type 2 diabetes, with Phase 3 trials to start in Q4 2026.
Business development activity in Q3 2026 included the completed acquisition of AtaiBeckley to advance therapies for treatment-resistant depression and other mental health conditions. Subsequent to quarter end, we completed the acquisition of Merida Biosciences, to advance treatments for serious autoimmune and allergic diseases.
INDIANAPOLIS, Oct. 29, 2026 /PRNewswire/ — Eli Lilly and Company (NYSE: LLY) today announced its financial results for the third quarter of 2026 and provided updated 2026 financial guidance.
“Lilly had another strong quarter, exceeding our prior expectations and allowing us to raise our full-year outlook,” said David A. Ricks, Lilly chair and CEO. “Revenue growth was driven by broad global consumer demand for Mounjaro and Zepbound, the global launches of Foundayo, expanded U.S. coverage for obesity care and a doubling in our newest products in oncology, immunology and neuroscience. To drive durable long-term growth, we continue to invest in our drug-making and technology capabilities, with multiple business development deals and partnerships signed and closed, and with new manufacturing expansions in Texas and Virginia. Lilly is executing well across the value chain, and our potential for impact on human health continues to expand.”
Financial Results
A discussion of the non-GAAP financial measures is included below under “Reconciliation of GAAP Reported to Selected Non-GAAP Adjusted Information (Unaudited).”
Third-Quarter Reported Results
In Q3 2026, worldwide revenue was $24.4 billion, an increase of 39% compared with Q3 2025, driven by a 53% increase in volume, partially offset by a 15% decrease in realized prices. Key Products1 revenue grew to $17.1 billion in Q3 2026, led by Mounjaro and Zepbound. Key Products revenue in the Immunology, Oncology, and Neuroscience therapeutic areas grew 100% in Q3 2026 compared to Q3 2025.
Revenue in the U.S. increased 34% to $15.1 billion, driven by a 41% increase in volume, partially offset by a 7% decrease in realized prices. The increase in U.S. volume was driven by Zepbound and Mounjaro. The decline in realized prices was primarily driven by Zepbound, partially offset by adjustments to estimates for rebates and discounts.
Revenue outside the U.S. increased 47% to $9.3 billion, driven by a 76% increase in volume, partially offset by a 29% decrease in realized prices. The volume increase outside the U.S. was driven by Mounjaro. Jardiance revenue outside the U.S. included sales-based milestones of $410 million in Q3 2026 and $200 million in Q3 2025, associated with the company’s collaboration with Boehringer Ingelheim. Additionally, Q3 2025 revenue included $180 million associated with the divestiture of the rights to Cialis in select markets outside of the U.S. Lower realized prices outside the U.S. were driven primarily by the inclusion of Mounjaro on the National Reimbursement Drug List (NRDL) in China.
Gross margin increased 40% to $20.5 billion in Q3 2026. Gross margin as a percent of revenue was 83.9%, an increase of 1.0 percentage points versus the same quarter last year. The increase was primarily driven by favorable product mix and improved cost of production, partially offset by lower realized prices.
In Q3 2026, research and development expenses increased 23% to $4.2 billion, or 17% of revenue, driven by continued investments in the company’s early and late-stage portfolio.
Marketing, selling, and administrative expenses increased 14% to $3.1 billion in Q3 2026, primarily driven by promotional efforts supporting ongoing and planned launches.
In Q3 2026, the company recognized acquired in-process research and development (IPR&D) charges of $4.2 billion compared with $656 million in Q3 2025. The Q3 2026 charges primarily related to the acquisitions of AtaiBeckley Inc. and Curevo Inc.
The effective tax rate was 23.3% in Q3 2026 compared with 22.8% in Q3 2025, primarily driven by the unfavorable tax impact of nondeductible acquired IPR&D charges, with a larger impact occurring in 2026. The Q3 2025 effective tax rate was also unfavorably impacted by U.S. tax law changes.
In Q3 2026, net income and earnings per share (EPS) were $6.5 billion and $7.22, respectively, compared with net income of $5.6 billion and EPS of $6.21 in Q3 2025. EPS in Q3 2026 and Q3 2025 included acquired IPR&D charges of $4.57 and $0.71, respectively.
Third-Quarter Non-GAAP Measures
On a non-GAAP basis, Q3 2026 gross margin increased 40% to $20.6 billion. Gross margin as a percent of revenue was 84.4%, an increase of 0.8 percentage points versus the same quarter last year. The increase was primarily driven by favorable product mix and improved cost of production, partially offset by lower realized prices.
The non-GAAP effective tax rate was 24.0% in Q3 2026 compared with 17.7% in Q3 2025, primarily driven by the unfavorable tax impact of nondeductible acquired IPR&D charges, with a larger impact occurring in 2026.
On a non-GAAP basis, Q3 2026 net income and EPS were $6.7 billion and $7.48, respectively, compared with net income of $6.3 billion and EPS of $7.02 in Q3 2025. Non-GAAP EPS in Q3 2026 and Q3 2025 included acquired IPR&D charges of $4.57 and $0.71, respectively.
For further detail on non-GAAP measures, see the reconciliation below as well as the “Reconciliation of GAAP Reported to Selected Non-GAAP Adjusted Information (Unaudited)” table later in this press release.
Selected Revenue Highlights
Mounjaro
For Q3 2026, worldwide Mounjaro revenue increased 65% to $10.7 billion. U.S. revenue was $5.0 billion, an increase of 41%, reflecting strong demand. Revenue outside the U.S. increased 93% to $5.7 billion primarily driven by volume growth, partially offset by lower realized prices driven by the addition of Mounjaro on the NRDL in Q1 2026.
Zepbound
For Q3 2026, U.S. Zepbound revenue increased 48% to $5.3 billion, primarily driven by strong demand, partially offset by lower realized prices.
Lilly shared numerous updates recently on key regulatory, clinical, business development, and other events, including:
For information on important public announcements, visit the news section of Lilly’s website.
2026 Financial Guidance
In addition to providing guidance for GAAP revenue, Lilly provides guidance for certain non-GAAP measures.
The following table summarizes the company’s updated full-year 2026 non-GAAP financial guidance, reflecting strong underlying performance across our portfolio. The first three quarters of 2026 also benefited from sales-based milestones and adjustments to estimates for rebates and discounts.
In addition to updates to Revenue and Performance Margin guidance, EPS guidance has been adjusted to reflect an increase of $4.07 (at the midpoint of the range), offset by $4.57 associated with the Q3 acquired IPR&D charges from recent business development activity:
Webcast of Conference Call
As previously announced, investors and the general public can access a live webcast of the Q3 2026 financial results conference call through a link on Lilly’s website at investor.lilly.com/webcasts-and-presentations. The conference call will begin at 10 a.m. Eastern time today and will be available for replay via the website.
Non-GAAP Financial Measures
Certain financial information is presented on both a reported and a non-GAAP basis. Some numbers in this press release may not add due to rounding. Reported results were prepared in accordance with U.S. generally accepted accounting principles (GAAP) and include all revenue and expenses recognized during the periods. Historical non-GAAP measures reflect adjustments for the items described in the reconciliation tables later in the release. Related materials provide certain GAAP and non-GAAP figures excluding the impact of foreign exchange rates. Lilly recalculates current period figures on a constant currency basis by keeping constant the exchange rates from the base period. The company’s 2026 financial guidance (other than revenue) is provided on a non-GAAP basis, as described in “2026 Financial Guidance” above. Non-GAAP measures are presented to provide additional insights into the underlying trends in the company’s business.
About Lilly
Lilly is a medicine company turning science into healing to make life better for people around the world. We’ve been pioneering life-changing discoveries for 150 years, and today our medicines help tens of millions of people across the globe. Harnessing the power of biotechnology, chemistry and genetic medicine, our scientists are urgently advancing new discoveries to solve some of the world’s most significant health challenges: redefining diabetes care; treating obesity and curtailing its most devastating long-term effects; advancing the fight against Alzheimer’s disease; providing solutions to some of the most debilitating immune system disorders; and transforming the most difficult-to-treat cancers into manageable diseases. With each step toward a healthier world, we’re motivated by one thing: making life better for millions more people. That includes delivering innovative clinical trials that reflect the diversity of our world and working to ensure our medicines are accessible and affordable. To learn more, visit Lilly.com and Lilly.com/news. F-LLY
Cautionary Statement Regarding Forward-Looking Statements
This press release and the related attachments contain management’s intentions and expectations for the future, all of which are forward-looking statements within the meaning of Section 27A of the Securities Act of 1933 and Section 21E of the Securities Exchange Act of 1934. The words “estimate”, “project”, “intend”, “expect”, “believe”, “target”, “plan”, “anticipate”, “may”, “could”, “aim”, “seek”, “will”, “continue”, and similar expressions are intended to identify forward-looking statements. Actual results may differ materially due to various factors. The following include some but not all of the factors that could cause actual results or events to differ from those anticipated, including the significant costs and uncertainties in the pharmaceutical research and development process, including with respect to the timing and process of obtaining regulatory approvals and the ability of the company’s clinical trials to meet expectations; the impact and uncertain outcome of acquisitions and business development transactions and related costs; intense competition affecting the company’s products, pipeline, or industry; market uptake of launched products and indications; continued pricing pressures and the impact of actions of governmental and private actors affecting pricing of, reimbursement for, and patient access to pharmaceuticals, or reporting obligations related thereto; the implementation of the company’s voluntary agreement with the U.S. government related to drug pricing and access; developments or uncertainties related to the company’s or competitive products, including as may relate to safety or efficacy concerns; dependence on relatively few products or product classes for a significant percentage of the company’s total revenue and a consolidated supply chain; the expiration of intellectual property protection for certain of the company’s products and competition from generic and biosimilar products; the company’s ability to protect and enforce patents and other intellectual property and changes in patent law or regulations related to data package exclusivity; information technology system inadequacies, inadequate controls or procedures, security breaches, or operating failures; unauthorized access, disclosure, misappropriation, or compromise of confidential information or other data stored in the company’s information technology systems, networks, and facilities, or those of third parties with whom the company shares its data and violations of data protection laws or regulations; issues with product supply, regulatory approvals, or other negative outcomes stemming from manufacturing difficulties, disruptions, or shortages, including as a result of unpredictability and variability in demand, labor shortages, third-party performance, quality, cyber-attacks, or regulatory actions related to the company’s and third-party facilities; reliance on third-party relationships and outsourcing arrangements; the use of artificial intelligence or other emerging technologies in various facets of the company’s operations, including partnerships related to the use of, or the sharing of such technologies with third parties, which may exacerbate competitive, regulatory, litigation, cybersecurity, and other risks; the impact of global macroeconomic conditions, including uneven economic growth or downturns or uncertainty, trade and other global disputes and interruptions, including related to tariffs, trade protection measures, and similar restrictions, international tension, conflicts, regional dependencies, or other costs, uncertainties, and risks related to engaging in business globally; fluctuations in foreign currency exchange rates, changes in interest rates and inflation or deflation; significant and sudden declines or volatility in the trading price of the company’s common stock and market capitalization; litigation, investigations, or other similar proceedings involving past, current, or future products, activities, or intellectual property; changes in tax law and regulations, tax rates, or events that differ from the company’s assumptions related to tax positions; regulatory changes, developments, and uncertainty; regulatory oversight and actions regarding the company’s operations and products; regulatory compliance problems or government investigations; risks from the proliferation of counterfeit, misbranded, adulterated, or illegally compounded products; actual or perceived deviation from environmental-, social-, or governance-related requirements or expectations; asset impairments and restructuring charges; and changes in accounting and reporting standards. For additional information about the factors that could cause actual results or events to differ materially from forward-looking statements, please see the company’s latest Form 10-K and subsequent Forms 8-K and 10-Q filed with the Securities and Exchange Commission. You should not place undue reliance on forward-looking statements contained in this press release and the related attachments, which, except as otherwise noted, speak only as of the date of this release. Except as is required by law, the company expressly disclaims any obligation to publicly release any revisions to forward-looking statements contained in this press release and the related attachments to reflect events or circumstances after the date of this release.
Website Information
The information contained on, or that may be accessed through, our website or any third-party website is not incorporated by reference into, and is not a part of, this earnings release.
Trademarks and Trade Names
All trademarks or trade names referred to in this press release are the property of the company, or, to the extent trademarks or trade names belonging to other companies are referenced in this press release, the property of their respective owners. Solely for convenience, the trademarks and trade names in this press release are referred to without the ® and ™ symbols, but such references should not be construed as any indicator that the company or, to the extent applicable, their respective owners will not assert, to the fullest extent under applicable law, the company’s or their rights thereto. We do not intend the use or display of other companies’ trademarks and trade names to imply a relationship with, or endorsement or sponsorship of us by, any other companies.
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Business
An AI Breakthrough Has Made Decades of Computer Science Research ‘Irrelevant’
Linköping University professor Peter Jonsson is set to have his work presented in two weeks’ time at one of the most prestigious conferences in theoretical computer science. As of Monday, much of that work is “dead,” he says, after AI showed that a 27-year-old hypothesis underpinning it is wrong.
Both OpenAI and Anthropic claimed this week to have disproved the exponential time hypothesis (ETH). Vast swaths of theoretical computer science research on complexity and algorithm design have been built on the premise that the effort it takes to solve certain problems increases exponentially with the size of the problem.
Jonsson expects his predicament will be “very common” at the IEEE Symposium on Foundations of Computer Science, where his work will be presented by one of his coauthors. “People will start the talks: ‘ETH is false, half of my paper does not work,’” he says. It’s a vexing problem, Jonsson says, “but at the same time, we learn a lot from it. And this is what science is about.”
Researchers haven’t independently verified, let alone had time to fully understand, the AI-produced proofs, which both firms have published on GitHub in both natural language and its machine-checkable Lean format. OpenAI has asked the UC Santa Barbara computer scientists who originally proposed the hypothesis, plus an MIT academic who has refuted a version of ETH, to rally researchers to unpack the proofs. So far, this effort includes a Google form asking for volunteers and feedback, and a commitment from OpenAI to fund a conference on the topic.
UC Santa Barbara professor Daniel Lokshtanov plans to join the effort, as he estimates the result—if confirmed—will render him “galactically wrong” and make around 50 of his published papers either “pointless” or in need of a revisit.
“It’s just a giant bomb dropped into the middle of the field,” he says. “It’s really cool and terrible at the same time.”
Thore Husfeldt, head of the algorithms research group at the IT University of Copenhagen, had spent most of this year thinking about one single problem in his subfield. “As far as I can tell, it’s now all irrelevant,” he tells WIRED. Having first formulated a version of the hypothesis now disproved by OpenAI, he has been writing calculations on his blackboard to figure out what other parts of his work might have become obsolete due to the “once-in-a-generation result.” Unlike the ennui that has gripped math researchers who have faced similarly field-upending proofs generated by AI models, though, Husfeldt expressed enthusiasm about the new results.
The finding is “fantastic,” he says. “Being a mathematician is a lot like stumbling about in a completely dark room,” he explains. “It’s like somebody just illuminated an entire subfield in floodlights of knowledge, and now we just run around like overexcited bunnies and look at all the nooks and crannies that we can suddenly explore. So it’s a super exciting time.”
For centuries, science has advanced through making hypotheses and proving them wrong. It also isn’t unusual for an academic to be scooped or have their work otherwise undercut by another research group. But AI has accelerated this, obliterating whole research programs and spooking researchers in specific fields of math and science who wonder where they stand now that machines can outperform them.
“The last few months have been really tough. It’s a lot of doom and gloom, because every week, or every second week, the results announced by AI just annihilate the ongoing research projects of many people,” Husfeldt says. “That is psychologically taxing for many people,” he says, adding that his department has considered hiring an occupational psychologist because “some people are really depressed and really sad.”
Researchers have also been overwhelmed by the volume of content now being produced, thanks to AI, including slop-level results. Midway through the interview, Husfeldt receives what he suspects to be an AI-generated 17-page paper on the consequences of the ETH result from a random Gmail account. He won’t read it: “Reading math is a very big investment of cognitive time,” he says.
OpenAI has directly contributed to this; earlier this month, it dumped 722 manuscripts on 400 problems on GitHub, to the annoyance of academics, who complain this makes it difficult to digest the results. Adding to the frustration were several documents that contained errors, reflecting what some mathematicians saw as a hasty rollout designed to juice the company’s planned initial public offering rather than moving the field forward. This time around, OpenAI’s 60-odd-page paper on ETH seems to be written better than the companies’ past publications, academics tell WIRED.
They are now scrambling to unpack the paper and find what other results they can quickly deduce from it.
If ETH is false and it doesn’t, in fact, take exponentially more time to solve problems as they become more complex, that’s “exciting,” says Victor Lagerkvist, an associate professor at Linköping. He plans to return to problems he had previously given up on under the assumption ETH was accurate.
OpenAI’s finding could also have impacts on the cryptography that underpins web security, which is based on the assumption that certain mathematical problems take an impractically long time to solve. While this particular result doesn’t directly affect cryptography, “it should definitely scare some cryptosystem designers,” says Lokshtanov.
That’s why continued human and AI-assisted work in theoretical computer science is important, Husfeldt adds: “We want the open scientific process to identify our misunderstandings about computation, in particular because lots of modern digital infrastructure is built on assumptions about computation.”
As for Linköping’s Jonsson, he plans to revisit both his own and others’ papers that hinge on ETH being true, and believes his conference paper may eventually be salvageable through another method. He’s excited to look into the details of OpenAI’s proof and see what he can learn from it and apply it to new problems. Even though it undoes the assumptions underpinning his work, having a verdict for ETH is something he could only “dream of” before, he says. “These are exciting times,” he adds. “Most people would never experience anything like this in their career.”
“I don’t care if it’s a human-written proof, or it’s written by AI, or if an alien transmitted this proof to us. If it’s true, then we must simply use it in the future.’’
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