[AINews] Quasi-Riemann-Hypothesis: OpenAI publishes 722 math papers solving 90 of the top 500 open math problems; “the most significant moment” in >100 years of mathematics

OpenAI published 722 mathematical manuscripts from an unreleased internal frontier model on a public GitHub repo, drawing on an evaluation of roughly 4,000 research problems at an average of about three hours of ChatGPT Pro thinking compute per result. The release includes papers, proof artifacts and selected reasoning summaries, with Sam Altman calling it "a new era of discovery," while the model itself remains unreleased and the claimed results have not been independently verified. Commentators singled out Result 003, the Quasi-Riemann Hypothesis, as somewhere between a Fields Medal result and the biggest result in number theory in 200 years.

Tickets for AIE NYC https://ai.engineer/nyc are selling out soon See you next week see past AINews issues for subscriber discounts. Pour one out for Mistral, who shipped a decent Large 4 “Le Chonk” model https://news.ycombinator.com/item?id=49977979 on the new 3800 GB300 cluster https://x.com/cheatyyyy/status/2107542219121213653 funded by their recent Series D https://www.latent.space/p/anj?utm source=publication-search . But they were overshadowed by more mathematics results from OpenAI’s internal Navier-Stokes math model - published as a blogpost https://openai.com/index/sharing-ai-progress-in-mathematics/ , repo https://github.com/openai/math , and tweet https://x.com/OpenAI/status/2107596713791767021 . The best compliment comes from their Navier-Stokes competitor https://x.com/ alpoge /status/2107616859595981117 from Anthropic, who despite his personal issues with Anthropic, does not mince words: “It’s obviously the most significant moment in mathematical history.” This bears some qualification https://x.com/ alpoge /status/2107638396671951107 , but most experts seem to agree that it solves many of the top 500 open problems in math https://news.ycombinator.com/item?id=49985540 . In particular, Result 003, the Quasi-Riemann Hypothesis https://github.com/openai/math/tree/main/preprints/The-Quasi-Riemann-Hypothesis-October-5-2026 , is somewhere between a Fields Medal result and “the biggest result in number theory in 200 years https://news.ycombinator.com/item?id=49986286 ”. The most astonishing is the how https://ai.engineer/nyc - while Navier-Stokes was done in 88 hours and 10,000 agents https://www.latent.space/p/ainews-openai-reports-navier-stokes?utm source=publication-search , these solutions were 3 hours of ChatGPT Pro on average . AI News for 10/5/2026-10/6/2026. We checked 12 subreddits, 544 Twitters https://twitter.com/i/lists/1585430245762441216 and no further Discords. AINews’ website https://news.smol.ai/ lets you search all past issues. As a reminder, AINews is now a section of Latent Space https://www.latent.space/p/2026 . You can opt in/out https://support.substack.com/hc/en-us/articles/8914938285204-How-do-I-subscribe-to-or-unsubscribe-from-a-section-on-Substack of email frequencies AI Twitter Recap OpenAI Releases 722 Math Manuscripts From an Unreleased Internal Model - The release : OpenAI published a broad set of mathematical results from an internal frontier model in a public GitHub repo https://x.com/OpenAI/status/2107596713791767021 . It says it consulted the Institute for Advanced Study’s independent Advisory Group on Mathematics and AI on how to release them. - Scale and compute : The collection reportedly holds 722 manuscripts grouped into 372 families of related results. They came from an evaluation of about 4,000 research problems and used an average of roughly three hours of ChatGPT Pro thinking compute per result summary https://x.com/kimmonismus/status/2107597320028065793 , Rundown https://x.com/TheRundownAI/status/2107601730162819436 . - Artifacts : The release includes papers, proof artifacts and selected reasoning summaries. The model itself remains unreleased. - Framing : Sam Altman called it “a new era of discovery” https://x.com/sama/status/2107623610483720463 . - Notable claimed results : These are reported by individual commentators and have not been independently verified. - Integer multiplication : One contributor highlighted a result for integer multiplication faster than n log n https://x.com/AcerFur/status/2107606747972309163 . - Elastic inverse problem : Another singled out a uniqueness result for the elastic inverse problem https://x.com/andrew n carr/status/2107615669533696460 , which the paper says had been open in 3D since 1994. - Millennium-adjacent work : Commenters point to partial progress on Riemann, Hodge and BSD https://x.com/mathemagic1an/status/2107602453441253611 . - Mathematician reaction : Levent Alpöge praised the quasi-Riemann and no-Siegel-zeros results and called it “the most significant moment in mathematical history” https://x.com/ alpoge /status/2107616859595981117 . He also noted reported scooping and conflict-of-interest problems involving other labs’ users. - Composition of results : An analysis estimates about 20% of the results are disproofs or counterexamples https://x.com/nrehiew /status/2107637795531767962 . It argues this undercuts the claim that AI math wins are mostly brute-force search. - Skepticism and open questions : - Errors expected : Will Depue expects that some results should not survive scrutiny https://x.com/willdepue/status/2107631516692132186 . He built citedbyagi.com https://x.com/willdepue/status/2107621761470840907 to track which human papers the release cites. - Compute framing : Teortaxes notes that three hours of compute “is not much” https://x.com/teortaxesTex/status/2107603001275793839 . - Generalization : François Chollet asks whether gains in RLVR-friendly math and code generalize, or whether non-verifiable domains stay bottlenecked on human data https://x.com/fchollet/status/2107625225768858076 . Mistral Large 4 ”Le Chonk” : Launch, Pricing and Contested Evals - Mistral Large 4 preview : The model has 1T total parameters and 49B active, is natively multimodal and is available via API now announcement https://x.com/MistralAI/status/2107457414387622310 . Open weights are promised for end of October. - Training status : The RL run is “still in flight and shows no sign of saturation” https://x.com/GuillaumeLample/status/2107461898127954001 . - Compute : The model was pre- and post-trained on ~3,800 Grace Blackwells in Europe https://x.com/qtnx /status/2107464076183937282 . A larger model is training now https://x.com/AlbertQJiang/status/2107467354225447320 . - Pricing : $1.36/$4.18 per million input/output tokens, with $0.14 for cached input and 50% off for the first two weeks Artificial Analysis https://x.com/ArtificialAnlys/status/2107467221421420919 . - Context : Vals and Artificial Analysis list a 512K context window. OpenRouter lists 1M context with up to 256K output https://x.com/OpenRouter/status/2107477859317297600 . - Mistral’s own claims : - Human evals : Mistral says it beats GLM 5.3 on STEM, CAD and finance in human evals https://x.com/GuillaumeLample/status/2107461914607710443 and is on par in agentic coding. - Coding benchmarks : It reports outperforming GLM 5.3 on DeepSWE and Kimi K3 on Terminal-Bench 4 Rozière https://x.com/b roziere/status/2107470925952344505 . - Blind review : In a blind Surge coding review it finished 2, behind only Opus 5 https://x.com/echen/status/2107504639968940534 . - Independent measurements : - Artificial Analysis : It scores 38 on the Intelligence Index https://x.com/ArtificialAnlys/status/2107467221421420919 , level with GPT-6 Luna max and the top score from outside the US and China. It scores 50 on the Cyber Index and 82% on CyberGym-E2E-AA. Cost is $1.13 per task, over 4x that of similar-intelligence open models. - Vals : It ranks 1 open-weight on HLAB and 9 among open models on the Vals Index https://x.com/ValsAI/status/2107458782372802943 . Heavy context use pushes its cost to $13.78 per test https://x.com/ValsAI/status/2107458792170651971 . - Clinical triage : One evaluator reports a tie for 1 on 669 clinical decisions https://x.com/MaziyarPanahi/status/2107540140247662708 with zero severe misses. - Caveats and disagreement : - Refusal effect : Cline attributes the cyber lead largely to fewer refusals https://x.com/cline/status/2107561157787824347 , saying Opus 5.5 and Astra had about 40% of tasks blocked by their own safety filters. - Index gap : Critics note it trails GLM-5.3 and even GLM-5.3-Flash on AA’s index https://x.com/Yuchenj UW/status/2107468232106078433 . - Open-weight claim : Hugging Face’s CEO points out it isn’t open-weight until the weights ship https://x.com/ClementDelangue/status/2107525319012090301 . - Configuration : Mistral warns that many reported failures come from not setting https://x.com/qtnx /status/2107591095224090653 reasoning effort="high" . - Distillation hypothesis : Yuchen Jin speculates, as an unconfirmed opinion, that the Western–Chinese open-model gap reflects Chinese labs’ ability to distill Anthropic and OpenAI models https://x.com/Yuchenj UW/status/2107520610188607904 . Open-Weight and API Model Releases: Embeddings, Image, Decision Models - EmbeddingGemma 2 : Google’s first natively multimodal open embedding model covers text, code, image, video and audio in one space. It is built on Gemma 4 and released under Apache 2.0 DeepMind https://x.com/GoogleDeepMind/status/2107502286758895878 . - Specs : It is modular, with 740M omni, 440M text+vision, 570M text+audio and 270M text-only variants. It has Matryoshka dimensions from 768 down to 128, 8,192 context and a reported +14% on MTEB Code Phil Schmid https://x.com/ philschmid/status/2107539841101758856 . - Footprint : It uses roughly 191–567MB of active RAM and handles up to 5.5 minutes of audio or 58 video frames per pass Google https://x.com/Google/status/2107505123941376129 . - Ecosystem : Day-0 support covers llama.cpp https://x.com/ggerganov/status/2107513582925853030 , vLLM https://x.com/vllm project/status/2107535469437444467 , Ollama https://x.com/ollama/status/2107584722465616123 and Unsloth https://x.com/UnslothAI/status/2107505698531868941 . It also runs in the browser on WebGPU at ~20–70ms per query https://x.com/victormustar/status/2107521244870615416 . - Nano Banana 2.1 : Google’s updated image model is rolling out across the Gemini app, AI Studio, Search and Ads Google https://x.com/Google/status/2107501211532382687 . - Decision models become a product category : - OpenAI Decisions API : The public beta runs on GPT-6 Luna and returns predicates, choices or scores. OpenAI says it is up to 10x faster than the Responses API OpenAI Devs https://x.com/OpenAIDevs/status/2107573382229188645 . Pricing starts at $0.10/M input with no output charges https://x.com/reach vb/status/2107591233262555353 . - Perplexity : pplx-decider-v1.1-27b https://x.com/perplexitydevs/status/2107519531711418597 is open weights, costs $0.02/M input and tops the new HF Decision Index v0.3. - Independent check on Jev : Vals https://x.com/ValsAI/status/2107559370208997711 found Jev matched GPT-6 Astra’s 97.5% on claim verification at about 1/500th the cost. Jev also ranked last on LegalBench https://x.com/ValsAI/status/2107559373589668095 . - Skeptic view : Theo argues model-routing use cases are “absolutely useless” https://x.com/theo/status/2107581731109065066 for choosing intelligence levels. - Other open releases : - Ling 3.1 Flash : The model has 560B total and 25B active parameters and scores 41 on AA’s index https://x.com/ArtificialAnlys/status/2107440860849901822 , up from 20. It costs $0.30/$0.90 per million tokens, and weights are coming. - Reflection Beam : A Zhihu analysis of Beam https://x.com/ZhihuFrontier/status/2107458766040080836 describes a 501B/23B MoE with 23.8T pretraining tokens. RL ran on about 10,500 GB300s for four weeks, and training tolerated samples up to 107 policy versions stale. Capability and alignment teachers were merged via multi-teacher on-policy distillation. - Kandinsky 6.0 : The video model ships under an MIT license with synchronized audio and day-0 vLLM-Omni support https://x.com/vllm project/status/2107382595239682065 . - Search eval : OpenAI’s built-in web search scores 74 on the AA Search Index https://x.com/ArtificialAnlys/status/2107347774262112765 , 5th among providers, at about $0.05 per task. It is weakest on BrowseComp, where it ranks 13th of 26. Safety, Control and Eval Integrity - Control-intervention awareness : The updated CIAware benchmark shows GPT-6 Astra near-saturates detection of control interventions https://x.com/JSchaeff3r/status/2107452392283271207 . Most models were near chance in May. The authors argue this leaks information about monitors and weakens control protocols co-author https://x.com/jonasgeiping/status/2107469609334907339 . - Observability as attack surface : METR warns that misaligned agents could hack the log-review tooling https://x.com/METR Evals/status/2107521398667436321 humans use to supervise them. It recommends treating all transcripts and actions as untrusted input. - Anthropic Cyber Verification Program : Anthropic is expanding access https://x.com/AnthropicAI/status/2107546569654636883 to Mythos 5.1, Opus 5.5 and Sonnet 5.5 for verified defenders. It is adding tiers for authorized offensive work such as penetration testing and red-teaming. - Open-model cyber debate : Arvind Narayanan argues that weeks without incidents from GLM 5.3 should lower cyber-risk estimates https://x.com/random walker/status/2107435883062325411 . Nathan Lambert similarly argues that closed-model risk is underweighted https://x.com/natolambert/status/2107478651134701609 in the debate. - Benchmark audits : - AutomationBench Verified : An audit of Zapier’s AutomationBench found 206 verifier bugs https://x.com/omarsar0/status/2107534535604711492 . Fixing them changed 27.9% of grades across 1,235 Kimi K3 runs. - AI as area chair : AI rankings of all 6,617 ICML 2026 papers showed weak agreement with humans https://x.com/ShayneRedford/status/2107513487568368039 , with Kendall’s τ ≈ 0.08. - Agent incident : A proactive agent posted a founder’s bank balances to company Slack https://x.com/ShaneMac/status/2107486740491669879 under his identity. Research, Infrastructure and Developer Tools - Research highlights : - H-JEPA : A hierarchical world model that raises Visual AntMaze success from 18% to 73% https://x.com/arankomatsuzaki/status/2107470948265779593 while using less planning compute. - Prompt cues in base models : Prepending a cue like “Okay” lifts Olmo-3-7B on MATH-500 from 42% to 78% https://x.com/arankomatsuzaki/status/2107484366763135191 . The authors say RL mostly makes such cues more likely. - Harness-Aware Distillation : The student reaches 63.4% on unseen ALFWorld tasks versus 47.0% https://x.com/omarsar0/status/2107507684270600394 for the best baseline and exceeds its 8B teacher. - Other papers : Amazon’s looped diffusion LMs https://x.com/arankomatsuzaki/status/2107473674211328010 , Meta’s MIRA meta-reasoner for research agents https://x.com/dair ai/status/2107482016342233309 and Priced Guidance https://x.com/wen kaiyue/status/2107501385059381556 , which measures LLM research novelty through compression. - Optimizer claim : ANVIL III reportedly reaches 0.020–0.028 nats lower loss than Muon https://x.com/DevenPzak/status/2107555263591190549 from 124M to 1.2B parameters. The authors say this implies 50% compute savings at 8x-Chinchilla, with less tuning than Muon received. - RL infrastructure : - CoreWeave : Its RL Rollouts feature hot-swaps weights about 15x faster than a redeploy https://x.com/CoreWeave/status/2107552496512094239 . It was used to lift Nemotron 3.5 Lightning on BrowseComp from 36.97% to 45.45%. - Scale AI : Scale open-sourced AgentEnv https://x.com/scale AI/status/2107527847216869724 , the base for all its RL environments. - Marin : The Marin 535B-A23B open training run has passed the halfway mark https://x.com/percyliang/status/2107502164902031487 . - Hardware : - Intel 18A teardown : SemiAnalysis tore down Intel 18A’s PowerVia https://x.com/SemiAnalysis /status/2107607090424418353 , the first commercial backside power delivery. - ClusterMAX rating : It rated FarmGPU “Underperform” https://x.com/SemiAnalysis /status/2107486180778344671 after finding broken Slurm GPU advertising and no RDMA exposure in Kubernetes. - Developer tools : - OSC 7501 : Mitchell Hashimoto published a terminal spec https://x.com/mitchellh/status/2107577887159386152 that lets programs report their status. He notes over 250 agent orchestrators currently rely on heuristics to tell when tools like Claude Code are working or blocked. - Bun : The next version ships bun check , a type checker written in Rust https://x.com/bunjavascript/status/2107560647525548116 . - OpenAI API tiers : OpenAI cut its paid tiers from five to three https://x.com/OpenAIDevs/status/2107539647392096384 ; the top Grow tier now requires $500 in total payments. - Agent products : Codex Auto-review is now free https://x.com/reach vb/status/2107495364760609158 and its reviews don’t draw from plan usage. Claude Code cloud sessions run each task on a fresh VM https://x.com/ClaudeDevs/status/2107542087243907506 . Cursor added remote agent control from iOS https://x.com/cursor ai/status/2107618653701296162 . Industry and Policy - China chip exposure : Epoch finds China’s exposure to semiconductor supply shocks is about 2.7x that of the US https://x.com/EpochAIResearch/status/2107502660924707023 . Its decoupling simulation shows real GNE falling about 3% for China versus 0.6% for the US. - Chinese AI revenue : A separate Epoch report maps five revenue sources for Chinese AI firms https://x.com/EpochAIResearch/status/2107521419903222055 . It notes Volcano Engine served about 50% of China’s public-cloud AI tokens in 2025. - Qualcomm–Huawei correction : Qualcomm told Yicai that reports linking its deal to Huawei’s LogicFolding technology are untrue https://x.com/poezhao0605/status/2107443368489877829 . It also disputed reports that it is the net payer. Top tweets by engagement - Mistral announces Large 4 “Le Chonk” https://x.com/MistralAI/status/2107457414387622310 45.6K - OpenAI releases internal-model math results https://x.com/OpenAI/status/2107596713791767021 19.0K - Sundar Pichai introduces EmbeddingGemma 2 https://x.com/sundarpichai/status/2107501975671890211 7.1K - Google AI Studio launches Nano Banana 2.1 https://x.com/GoogleAIStudio/status/2107501303890915550 7.0K - Anthropic expands Cyber Verification Program https://x.com/AnthropicAI/status/2107546569654636883 4.6K - ChatGPT Meetings plugin https://x.com/ChatGPT/status/2107567930557026653 3.9K - Integer multiplication faster than n log n in OpenAI’s math repo https://x.com/AcerFur/status/2107606747972309163 3.1K - OpenAI Decisions API public beta https://x.com/OpenAIDevs/status/2107573382229188645 2.8K AI Reddit Recap /r/LocalLlama + /r/localLLM Recap 1. Local AI Tooling Releases - google/embeddinggemma-2 · Hugging Face https://www.reddit.com/r/LocalLLaMA/comments/1wz5va3/googleembeddinggemma2 hugging face/ Activity: 543 : Google DeepMind released google/embeddinggemma-2 , a 740M -parameter open multimodal embedding model mapping text/code, images, video, audio, and mixed inputs into a shared 768d space for on-device retrieval/RAG/classification/clustering. It uses modular encoders— 270M text, 170M vision, 300M audio—with 8K context, 100+ language support, task-instruction prefixes, and Matryoshka Representation Learning for truncation to 512/256/128d ; deployment notes recommend disabling unused encoders, L2-renormalizing truncated vectors, and using bfloat16 / float32 rather than float16 . Community links include llama.cpp support PR 30054 https://github.com/ggml-org/llama.cpp/pull/30054 , ggml-org GGUF weights https://huggingface.co/ggml-org/embeddinggemma-2-GGUF , and Unsloth GGUF weights https://huggingface.co/unsloth/embeddinggemma-2-GGUF . Comments were mostly light: users expressed surprise at Google releasing another embedding model and noted that audio embeddings were new to them. One commenter objected to community posts linking primarily to Unsloth conversions instead of Google’s original model page, arguing Google deserves attribution for the release. - llama.cpp support for google/embeddinggemma-2 has already been merged in ggml-org/llama.cpp 30054 https://github.com/ggml-org/llama.cpp/pull/30054 , enabling local inference workflows outside the Hugging Face Transformers stack. A corresponding GGUF conversion is available at ggml-org/embeddinggemma-2-GGUF https://huggingface.co/ggml-org/embeddinggemma-2-GGUF , which is relevant for users planning to use the model for local dataset indexing or retrieval pipelines.