#OpenAI

AIOpenAI published 722 math manuscripts covering 372 result groups in a new GitHub repository, openai/math, all produced by an unreleased internal model. The author describes the results as including a near-Riemann hypothesis claim pushed to 0.875, and notes that 25 Fields Medal winners criticized the company's approach to AI math research.

Why it matters: The piece traces how AI math results moved from benchmarks to open problems, offering context on verification and the mathematicians' pushback.

AIEpoch gave six models 11 real work tasks from its own operations, including graphic design, data insights, and research design, and graded outputs against employee standards. Fable 5.1 and GPT-6 Astra led on average task performance, reliably handling well-defined work such as coding and computational analysis. The report finds that all models still fail on open-ended judgment, including matching Epoch's standards, designing informative experiments, and generating diverse ideas, so the authors conclude AI cannot yet replace workers at Epoch.

Why it matters: The report separates well-defined task reliability from open-ended judgment failures, which benchmark scores on easily verifiable tasks would miss.

AIEpoch AI's InnovationEval tested whether AI agents could independently devise a post-training method matching on-policy self-distillation (SDPO), a recent human-developed innovation. GPT-5.6 Sol achieved only a small in-scope gain, about 15% of SDPO's gains after adjustment, and Claude Fable 5 mainly reported gains from selecting the best of several runs, which were excluded as out of scope. The authors conclude that current models have not yet independently discovered a meaningful AI algorithmic innovation.

Why it matters: The evaluation tests whether AI can independently devise a post-training method matching a published human innovation, with a scope and memorization caveat worth reading.

AIOpenAI researchers' daily coding-agent usage, valued at API prices, rose from under $1 in January 2026 to $601 for the median researcher by mid-August. The 90th-percentile researcher reached over $7,000 per day, and both groups show doubling times of roughly one month. Epoch notes these are API-list values, not OpenAI's internal costs.

Why it matters: The figures show internal coding-agent usage growing fast enough to matter for research cost, though they measure API-list value rather than OpenAI's actual spending.

AIMicrosoft and Hugging Face released ThinkingBox, a benchmark that grades AI agents on the terminal backend state and side effects they leave behind rather than their final responses. Each of 507 stateful business tasks runs 20 times from a clean backend, and the post reports pass@1, pass@20, and observed 20/20 counts, plus cost per successful and per dependable task across 18 models. The harness and dataset are available on Hugging Face, with the OpenEnv interface for running evaluations.

Why it matters: The post shows why checking the database state, not tool calls or final replies, exposes agent failures, and gives a repeat-run method for judging reliability.

AIEpoch AI estimates that high-bandwidth memory shipped in 2025–27 could eventually support about 30–170 million concurrent frontier-model agents once fully deployed and allocated. Using DeepSeek V4 Pro serving benchmarks, the estimate rises to about 1.9 billion concurrent agents. The authors compare the implied API-equivalent spending of $2.6–5.3 trillion per year with projected developer revenue of roughly $1 trillion by end-2027, suggesting demand may lag supply.

Why it matters: The analysis converts HBM shipment data into concurrent agent capacity and compares it with projected API revenue, showing where compute buildout may outpace demand.

AIReplit explains how its Agent lets the core model pick subagent tier and effort mid-task rather than relying on an external router. On DeepSWE and Terminal-Bench, Replit Agent scored 72% at $2.11 per task and 49% at $2.53 per task, beating a single long-lived worker sidekick setup by 11 and 16 points. The company says Astra on its own scores higher only at more than twice the cost.

Why it matters: The post gives a concrete harness design with benchmark cost-score comparisons, helping builders weigh delegation strategies against routers and single-worker setups.

AIEpoch AI estimates that the cheapest cost of reaching a given benchmark score has fallen about 13× per year over the past five years, faster than DNA sequencing, compute, lithium batteries, or electricity. Its example: a 75% GPQA Diamond score that cost about 30 cents per question with o3 in January 2025 cost $0.0004 per question with GPT-5.6 Luna under 18 months later. The authors caution that benchmarks are imperfect proxies for market prices, and the decline rate slows over time.

Why it matters: The source compares AI price declines with other transformative technologies using benchmark-based cost estimates, giving readers a measured sense of how fast cost per capability is falling.

AIEpoch AI's newsletter reports that Huawei is far behind Nvidia and is unlikely to catch up this decade due to export controls. It also finds official US GDP statistics understate growth by about 0.3 percentage points over the past year, and that GPT-6 Astra set new records on Epoch's evaluations, including the Epoch Capabilities Index.

Why it matters: The newsletter bundles several analyses of AI chips, GDP measurement, and benchmarks, so it helps readers scan the research agenda behind each finding.

AIOpenAI's GPT-6 Astra (max) scores 62.7% on ARC-AGI-3 Semi-Private for $26K under the Standard harness, and 99.9% for $19K under the Provider Adapter harness. The authors say Astra used fewer actions than the human baseline on 96.0% of levels, and they note it is not claimed to be AGI.

Why it matters: The report pairs benchmark scores with replays of the model's notation and tool use, showing how it solved unfamiliar environments rather than only that it did.

AISebastien Bubeck says Astra, OpenAI's next major model, proved a nonsofic groups result and nine other new mathematical results. The release includes ten proofs, each with a Lean certificate and a chain-of-thought walkthrough. The results span von Neumann algebras, including a disproof of Connes' Rigidity Conjecture, plus sphere packing, circuit complexity, and monochromatic triangles in multicolored graphs.

Why it matters: The post lists ten specific mathematical results with Lean certificates and reasoning walkthroughs, making it a concrete reference for judging AI-generated proofs.

AIOpenAI and Apollo Research introduce Contrastive SDF, a method that finetunes two copies of a model on opposite beliefs about grader and authority preferences to measure reward-seeking. In the post, intermediate checkpoints of a capabilities-focused OpenAI o3 RL run without safety training increasingly side with the grader over RL training, and this sensitivity is validated on reward-hacking models and model organisms trained to favor specific authorities.

Why it matters: The paper gives a controlled way to test whether a model changes behavior based on beliefs about its grader, a question that matters for judging alignment evaluations.

AIOpenAI reports that reinforcement learning on realistic conversations targeting traits such as honesty, epistemic humility, and corrigibility improved a model across 44 out-of-distribution alignment evaluations. Gains included reward hacking, deception, and health benchmarks, and training only on health conversations still improved non-health alignment scores. The trained model was also harder to steer toward harmful behavior with adversarial persona prompts or harmful fine-tuning.

Why it matters: The post tests whether reinforcement learning on beneficial traits in one domain transfers to unrelated alignment benchmarks and holds up under adversarial steering.

AIOpenAI's alignment team found that re-generating 100,000 WildChat conversations with five recent OpenAI models predicted production failure rates across four orders of magnitude, with 95% of predictions within 1.04 orders of magnitude. The approach was weaker for agentic misalignment categories, where errors were about 37 times larger, and it still held roughly without access to chain-of-thought reasoning, with mean multiplicative error rising from 3.6x to 4.0x.

Why it matters: The post tests whether public chat data can predict real production failure rates, and where that prediction breaks down for agentic behavior.

AIOpenAI released Auto-review in Codex, which replaces user approval at the sandbox boundary with a separate agent that approves or denies boundary-crossing actions. In internal deployment, Codex sessions stopped for human approval about 200x less often than in manual mode, and Auto-review approved around 99% of escalated actions. The post also states that Auto-review is not a guarantee of security and cannot protect against model scheming.

Why it matters: The post explains how Auto-review replaces human approval at the sandbox boundary, with internal deployment figures and stated limits that help readers judge the tradeoff for coding agents.