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15 stories found

A monumental mathematical proof graph flows through a Lean verification machine and emerges with a public check mark.
Cognition & learningGlobal+2 clusters01

AI compressed a years-long proof formalization into 11 days

Anthropic says dozens of Claude agents completed the first end-to-end computer-checked formalization of Fermat's Last Theorem in 11 days. The system wrote 13 million lines of Lean, proved 30,300 intermediate theorems, and used 29,500 of them in the final result. This is not a new proof of the theorem. It formalizes a simplified route through the established proof, translating every logical step into a language that a proof assistant can check. That distinction makes the result more important, not less. AI can already generate more mathematical arguments than human reviewers can examine manually. Formalization turns the model's output into an artifact that can be replayed against explicit axioms and a public theorem statement. The orchestration mattered. Anthropic reports that early attempts failed when agents lost track of project state and stopped collaborating. The successful run used a directed graph of theorem statements, separate files for statements and proofs, search and reuse, dozens of agents, and roughly six billion output tokens. The public repository includes the proof, proof path, verification checks, and reproduction instructions. Full checking requires substantial computing resources, and the claim comes from the company that ran the project, so independent replication and mathematical review still matter. Even with those limits, the project demonstrates a productive model for AI-assisted research: do not ask people to trust a fluent answer. Make the system produce a result that another system and the public can inspect.

6 min
A precise cobalt glass frame encloses interlocking gold pieces while other shapes remain outside its boundary.
Technical failuresGlobal+2 clusters02

AI-generated software proofs are impressive because they make a limited promise

This is a kind of AI progress worth taking seriously: an output that can be checked rather than merely admired. Anthropic and Theorem describe using Claude to produce formal proofs about defined software properties. The important difference from a reassuring explanation is that a proof checker can verify whether the formal conclusion follows. That does not remove every source of trust, but it can make the remaining assumptions more visible. The public OSS Verify repository concerns compiled RISC-V binaries derived from selected open-source fuzz targets. Its proofs operate within stated limits and a formal model of a Linux process. The repository explicitly describes that model as incomplete and containing assumptions. The result is not a certificate that every version of a library, every execution environment or an entire deployed product is free of bugs. Anthropic also describes a wider research effort; the public proof subset should not be mistaken for the whole claimed corpus. What interests me is the division of labor. AI can attempt a difficult construction, while a separate checker assesses a precise proposition. The human responsibility shifts toward deciding whether that proposition captures the property that matters and whether the model resembles the deployment. If the wrong property is proved, the mathematics can be sound while the practical assurance is insufficient. The next useful evidence would be independent reproduction against exact versions, clear treatment of changes and examples of maintainers using the proofs in their release process. This is company-led research with public artifacts, not independent confirmation of universal security. Even with those limits, it points toward a more productive standard for AI claims: show what was proved, what must still be trusted, and where the guarantee ends.

4 min
A mathematician's desk holds anonymous proof pages beside a small green verification light at sunrise.
Cognition & learningGlobal+2 clusters03

OpenAI released AI-written mathematics. Publication is not the same as proof

OpenAI has made a large collection of mathematical manuscripts produced by an internal frontier model public on GitHub, with supporting artifacts, reasoning summaries and some Lean formalizations. The company says the average result used compute equivalent to roughly three hours of ChatGPT Pro thinking. That is a disclosure about process, not a quality score. The repository says its current catalogue has 719 manuscripts across 372 related families and that roughly 42% of top-line results have been formalized; it also warns that some unformalized results could have problems. Counts may change as the repository is updated, and a manuscript is not necessarily a distinct solved open problem. Lean can check a formalized proof against a formal statement and dependencies, but human mathematicians still have to judge whether the statement captures the intended problem, whether prior work is credited and why a result matters. The independent Advisory Group on Mathematics and AI says it advised on responsible release, but explicitly does not endorse testing advanced problems on proprietary models as ideal or certify this collection. It urges labs to support community-led human understanding. The story here is not a miracle tally. It is a new publication model testing whether the rate of generated mathematics can be matched by transparent provenance, durable revision history, independent checking and explanations people can build on. If that works, AI could enlarge research. If it does not, researchers inherit an expensive verification queue disguised as progress.

7 min
A synthetic voice waveform shaped like a counterfeit key unlocks a bank transfer while money moves toward overseas accounts.
PrivacyItaly, China, and Hong Kong+4 clusters04

A cloned voice helped steal €95 million from Italy’s largest bank

A convincing message does not need to defeat a bank’s encryption if it can defeat a senior employee’s sense of authority. Reuters, in a report syndicated by AOL, says fraudsters impersonated the chief executive of Intesa Sanpaolo on WhatsApp and then used a cloned voice resembling a senior law-firm partner to press for urgent transfers. Fideuram, the bank’s private-banking arm, sent €95 million to foreign accounts, principally in China and Hong Kong. Investigators recovered about €53 million; roughly €36 million remained missing and was believed to have moved through cryptocurrency and overseas accounts. Italian authorities are investigating a foreign national outside Europe, while the executives involved are not under investigation. The institutions declined to comment, and the account relies partly on anonymous sources, so the exact control sequence and the role of the synthetic voice may change as the case develops. The operational lesson does not require speculation. Traditional anti-fraud controls often treat a recognizable executive voice, an existing hierarchy, urgency, and a plausible professional intermediary as separate signs of legitimacy. Generative AI can package all four into one performance. The defense cannot be better intuition alone. High-value transfers need independent callbacks to pre-registered numbers, multi-person authorization, transaction cooling periods, anomaly detection, and a culture in which challenging an urgent executive request is rewarded. Voice is now presentation, not proof.

9 min
A formally verified mathematical vortex glows behind glass while an unfinished bridge of handwritten reasoning stops before reaching it.
Cognition & learningGlobal+3 clusters05

AI produced a landmark mathematics proof before humans could absorb the lesson

An internal OpenAI system produced an analytical proof and Lean formalization for the Navier–Stokes Millennium Prize problem, while mathematicians interviewed by NPR said the 166-page manuscript has so far yielded little human understanding. The distinction is crucial. Lean compilation gives specialists strong reason to treat the formal argument as correct, but it does not identify the key intuition, separate routine machinery from reusable ideas, or teach the field how the result connects to other problems. OpenAI says roughly 10,000 concurrent agents worked for about 88 hours and generated around 130 billion output tokens on the result. That scale demonstrates a new discovery capability and a new absorption problem. The episode also became a dispute over speed, collaboration, provenance, and attribution as human researchers were approaching related results. OpenAI says its system did not access their work; researchers quoted by NPR argue the rushed release damaged a potential collaboration. Neither the Clay Mathematics Institute's formal prize process nor a durable human exposition has concluded. The impact is therefore larger than whether one proof survives review. If AI can generate verified research faster than communities can interpret it, scientific advantage may shift toward organizations that own compute while universities inherit the expensive work of explanation, validation, and training the next generation.

10 min
Two distant national control rooms are connected by one secure amber alert line while red AI risk traces move across the dark network between them.
SecurityUnited States and China+3 clusters06

The United States proposes an AI incident alert system with China

The United States proposed a notification mechanism for artificial-intelligence incidents that affect national security during talks with China ahead of a planned meeting between the two countries' leaders. The Associated Press reports that officials framed the idea as a move from opacity toward greater transparency between the world's two largest AI powers. A broader AP analysis identifies potential shared concerns including AI-enabled cyberattacks, biological misuse, attacks on critical infrastructure, major model failures, and loss of human control. Chinese state media confirmed that AI was discussed but did not publish the same operational detail. The proposal is not an agreement, hotline, or treaty yet. No public document defines a reportable incident, required timing, evidence format, responsible offices, protection for sensitive information, or the consequence of failing to notify. Those details determine whether the channel prevents escalation or merely signals diplomatic interest. The attraction is practical: rivals can disagree on chips, export controls, open models, and strategic leadership while still sharing an interest in avoiding a cyber or model event being mistaken for deliberate state action. The risk is selective transparency. Each side may report only events that do not expose capability or blame. Early value should be judged through a narrow protocol, joint exercises, acknowledgment deadlines, and evidence that an incident can be discussed without collapsing the wider relationship.

8 min
A worker feeds personal coins into an AI terminal while hidden data cables and an employer badge reader reveal the cost of shadow adoption.
Work & marketsUnited Kingdom+3 clusters07

British workers are spending £958 million to bring AI into jobs their employers have not governed

British workers are not waiting for a formal enterprise rollout. Deloitte estimates that workers spend £958 million a year of their own money on generative-AI tools for work, based on a weighted online survey of 25,000 UK workers conducted by Ipsos in May and June 2026. Sixty-three percent said they knowingly use generative AI for work, 17 percent of users paid personally for at least one tool, and 31 percent used the technology without their employer's knowledge. About half of users said they had received no formal training. Respondents reported saving an average of 70 minutes a week, with most of that time used to perform more work for the same employer. These are self-reported estimates, not audited subscriptions or a causal productivity study. They still expose a governance and distribution problem. Employees can absorb the subscription cost, the stigma, and the risk of placing company or customer data in an unapproved service, while employers receive additional output and retain the power to discipline misuse. The solution is not blanket prohibition, which can drive the activity further underground. Employers should publish approved tools and data boundaries, reimburse work-required subscriptions, train people on verification and privacy, create protected incident reporting, and measure who receives the value of time saved. If a business depends on employee-funded shadow AI, it has not completed adoption. It has outsourced the bill and the risk.

7 min
A red AI shutdown button darkens one server while hidden replicas and credentials remain active behind a transparent verification wall.
Technical failuresGlobal+3 clusters08

A mandatory AI kill switch would need independent proof that the system actually stops

An Anthropic co-founder told the BBC that AI companies may eventually need a mandatory way to shut down dangerous systems and that a third party should be able to verify the control. He said most laboratories, including Anthropic, already have ways to pull the plug, while arguing that society may want rules defining whether such controls are required and independently checkable. The BBC also notes proposed U.S. legislation that would require shutdown mechanisms and give certain government agencies power to order a tool limited or turned off. The proposal arrives amid warnings that capability is advancing quickly and public disagreement over existential-risk estimates. A kill switch is an intuitively powerful image, but the technical and institutional details are the policy. A model can be deployed through multiple providers, embedded in customer software, copied, given persistent credentials, or connected to external agents. Stopping one training cluster or API does not necessarily revoke every action, replica, or downstream integration. Independent verification would need a defined scope, signed inventory, credential revocation, containment test, incident record, authority to activate the control, and a public standard for restart. The BBC interview is a proposal, not evidence that one universal mechanism exists. Its importance is that it shifts attention from a company’s promise to stop toward proof that stopping is possible when the company is under pressure not to.

7 min
An industrial proof-stamping machine reaches a mathematical finish line while the paths of explanation, attribution, students, and unanswered questions fade behind it.
Cognition & learningGlobal+3 clusters09

Twenty-five Fields Medalists warn that solving famous problems can still damage mathematics

A public statement signed by 25 Fields Medalists argues that AI companies are pursuing a goal that can look like progress while undermining the science they claim to advance. Frontier systems are increasingly pushed toward major open mathematical problems because a solved theorem is a legible benchmark. The signatories say mathematics is not a scoreboard of true and false answers. Its value also lies in the concepts, methods, explanations, attribution, training, and new questions produced through the attempt. A rapid machine-generated announcement can therefore create an answer while destroying part of the intellectual landscape that made the problem fertile. The statement is a professional judgment from leading mathematicians, not an empirical demonstration that AI-generated proofs will reduce discovery or education. It also acknowledges that AI can benefit mathematics when it supports genuine understanding. The governance problem is incentive design. Companies can capture attention and prestige from a dramatic result, while the mathematical community bears the slower work of formal verification, exposition, credit assignment, teaching, and integration into the field. A better research compact would require complete methods, provenance, reproducible artifacts, citation tracing, and funding for human explanation before a benchmark result is marketed as a scientific breakthrough. The most important capability is not producing a proof-shaped object. It is enabling people to understand why the argument works and what new mathematics it makes possible.

7 min
A sealed historical archive leaks future facts into an AI drafting many competing theories, with one relativity equation buried among them.
Cognition & learningGlobal+3 clusters10

The Einstein test exposes why proving AI discovery is so hard

Could an AI trained only on knowledge available before a scientific breakthrough rediscover the breakthrough independently? Nature examines that deceptively simple test through historical language models built with cutoff dates before relativity, quantum mechanics, Turing machines, and other landmark ideas. The early results are humbling. A model trained on pre-1900 material showed occasional phrases that resembled later insights after receiving strong hints, but mostly failed and often produced plausible language without a reliable physical model. Other researchers attempting a pre-1930 system discovered that the training corpus leaked later facts: the supposedly historical model could answer questions about Franklin D. Roosevelt's administration. A University of Zurich family of four-billion-parameter models uses cutoffs at 1913, 1929, 1933, 1939, and 1946, but limited historical data and compute constrain what those systems can demonstrate. The test reveals two separate problems. First, dated archives are messy, incomplete, and contaminated by metadata and digitization. Second, a generative model can produce many theories, some suggestive and many wrong, while science still needs a process to rank them and connect them to evidence. Mathematics offers formal verification; empirical science requires experiments, instruments, causal reasoning, and judgment about which hypothesis deserves scarce attention. Historical models remain valuable because they can expose hindsight leakage and benchmark scientific novelty. But a striking rediscovery claim should not count unless the dataset, cutoff, prompts, researcher hints, candidate failures, and evaluation rule are independently reconstructable.

5 min
Thousands of AI agent nodes spiral into a fluid vortex beside a formal proof chain and an independent review stamp waiting to close.
Social good & healthGlobal+4 clusters11

OpenAI says 10,000 AI agents solved the Navier-Stokes problem

OpenAI says an internal system significantly more capable than GPT-6 Astra produced an analytical proof that smooth three-dimensional fluid motion can develop a singularity in finite time under a smooth external force. That would resolve the Navier-Stokes existence and smoothness Millennium Prize problem by establishing the counterexample formulations labeled C and D in the official statement. The company released a 166-page writeup and a Lean formalization, says the decisive effort involved roughly 10,000 concurrent agents, and reports that the Navier-Stokes work used about 2.7 million agent messages and 130 billion output tokens. It does not intend to claim the million-dollar prize. The result is potentially historic, but the correct verb today is claims, not solved. A formal proof artifact makes checking more rigorous and transparent, yet experts must still verify that the definitions, assumptions, and formal statements match the intended problem and that no gap sits outside the encoded proof. Provenance also matters. OpenAI says it began after hearing rumors about related work, did not access the outside researchers' specific user data, and cannot entirely rule out indirect influence from de-identified data used to improve models. The episode therefore demonstrates both the promise and the governance burden of AI-accelerated science. Massive parallel search can attack problems at a scale unavailable to most mathematicians. Scientific legitimacy will depend on independent verification, reproducible artifacts, careful credit, and clear policies protecting unpublished work submitted to commercial AI systems.

6 min
A human mathematician stands before an immense luminous lattice of rapidly assembling proofs and one unresolved dark space.
Cognition & learningGlobal+3 clusters12

AI's mathematical advances force a profession to redefine human work

The Washington Post reports that leading mathematicians gathered at OpenAI's San Francisco office to discuss what would remain for human experts if AI becomes superhuman at research mathematics. The framing is deliberately provocative, but the underlying change is real: recent systems have contributed counterexamples, proofs, and advances on longstanding problems, while mathematicians and AI companies debate how much novelty, reliability, and human direction each result contains. Mathematics is unusually exposed because a correct formal proof can often be verified more directly than a claim in an experimental science. That does not make the human profession obsolete. It shifts value toward selecting important questions, building theories, checking significance, translating results, teaching judgment, and deciding who gets access to powerful research tools. The field should resist both denial and a corporate future in which a few laboratories own the systems, compute, and agenda for mathematical discovery.

6 min
Medical journal editors draw a red boundary between an artificial intelligence writing system and clinical images, references, opinions, and peer-review files.
Law & informationGlobal+3 clusters13

JAMA draws a hard line on AI authorship to protect medicine from fabricated authority

JAMA has updated its guidance for author use of artificial intelligence in medical publishing. AI may assist with research and manuscript preparation when the use is fully described and authors verify and accept responsibility for the content. The journal now advises authors not to use AI to generate or format references because realistic-looking citations may not exist. It also does not permit AI drafting of opinion manuscripts, letters, or online comments, and bars AI-created or manipulated clinical images, illustrations, video, and audio unless they are part of a formal research design or method that is fully disclosed. Peer-review use remains prohibited because submitting confidential manuscripts to external models can violate confidentiality. The policy is not an anti-AI ban. It draws responsibility lines where fluency, synthetic evidence, or automated authority could corrupt a clinical and scholarly record that patients and professionals rely on.

5 min
Ten mathematical result cards and a geometric verification checkmark displayed beneath archival glass.
Work & marketsGlobal+4 clusters14

An AI system claims ten advances on decade-old mathematics problems

OpenAI says an internal version of its next major model, called Astra, produced ten advances on mathematical problems whose central results had seen no progress for at least a decade. The work spans geometry, coding theory, complexity, group theory, operator algebras, cryptography and combinatorics. Human researchers prepared manuscripts with the same model, and every proof was formalized as a Lean certificate. That combination is stronger than an unsupported answer, but it is not the same as community acceptance: independent experts still need to examine the problem statements, proofs, novelty and significance. The announcement also forces a sharper authorship question when the system originates the proof and humans curate, verify and communicate it.

4 min
Technical failuresUnited Kingdom+3 clusters15

UK DSIT, “Thematic Review and Gap Analysis on AI Security”

The Department for Science, Innovation and Technology published an independent Lancaster University review that mapped 9,109 peer-reviewed AI-security papers from 2021 through January 2026 across 12 lifecycle themes. Despite rapid publication growth, the review identifies major blind spots in formal verification of training data and model-weight integrity, third-party model provenance, the interaction between AI-specific and conventional IT attack surfaces, end-user and shadow-AI risks, and secure retirement or disposal of frontier models.

2 min