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OpenAI Claims Math Breakthroughs, Gemini 4 Carbon Tops, GPT-6.1 Terra Cuts Costs

Singapore·26 Oct – 1 Nov·Ten minutes

The week's biggest claim came from OpenAI: on 27 October its internal AI announced three research breakthroughs — a proof of local smoothness implying the 35-year-old Kakeya conjecture, plus a claimed refutation of the Exponential Time Hypothesis held for about 25 years. The proofs passed Lean formal verification and are public, awaiting academic scrutiny. In models, Google shipped Gemini 4 Carbon just two weeks after Argon, topping the Artificial Analysis Intelligence Index v5 with 59 points, focused on cybersecurity and long-horizon coding. OpenAI countered with GPT-6.1 Terra, a low-cost computer-use model priced at $1/$5 per million tokens, cutting per-task cost to $0.40 — roughly a ninth of Claude Opus 5.5. On capital, Meta filed to raise $95 billion for AI datacenters while Anthropic submitted its S-1 for a Nasdaq IPO, revealing $16.3 billion in H1 2026 revenue.

01

Five things this week

Enough to retell
1
OpenAI 宣布 AI 模型在数学、计算机科学、物理学领域取得三项突破
OpenAI 称 AI 证明 Kakeya 猜想并推翻 ETH,已开放 Lean 验证待学界核验
IT之家
2
Google Gemini 4 Carbon 登顶 Artificial Analysis 智能指数 v5
Gemini 4 Carbon 两周内迭代发布,59分登顶 AA 智能指数,主打网络安全
Artificial Analysis
3
OpenAI 发布 GPT-6.1 Terra:成本降至 GPT-5.6 Terra 三分之一以下
GPT-6.1 Terra 定价 1/5 美元每百万 token,单任务成本降至 0.40 美元
Artificial Analysis
4
Anthropic 提交 S-1 申请纳斯达克 IPO,上半年营收 163 亿美元
Anthropic 申报纳斯达克 IPO,上半年营收163亿美元、净亏损807亿
TestingCatalog
5
Meta 向 SEC 申报拟融资 950 亿美元投入 AI 数据中心
Meta 拟融资950亿美元建 AI 数据中心,芯片厂拟认购50亿
rohanpaul_ai
02

US vs China

The same week, both sides
DimensionUnited StatesChinaWhat it means for ASEAN
New modelsGoogle launched Gemini 4 Carbon, topping AA v5; OpenAI shipped computer-use model GPT-6.1 TerraXiaomi open-sourced 0.8B document model Xiaomi-OCR-0; OpenBMB released open-source MiniCPM-OCR suiteSmall open models suit localized, on-premise deployments
PricesGPT-6.1 Terra costs $1/$5 per million tokens; per-task cost about one-ninth of Opus 5.5GLM 5.3 reproduced a Firefox exploit chain at roughly $1,000 per run in API feesAgent task costs falling fast, good for SEA exporters
BenchmarksGemini 4 Carbon led security evals like SEC-bench Pro, first in 4 of 9 assessmentsSeedance 2.5 topped AA image-to-video benchmark v2.1; GLM 5.3 passed Epoch AI safety testingSecurity and video generation are the new arenas
PolicyAnthropic filed S-1 for Nasdaq listing; Meta declared $95 billion raise for datacentersAlibaba Cloud open-sourced AI Agent Handbook; survey shows only ~18% agents in productionDisclosure tightening; useful compliance reference for Southeast Asia
03

ASEAN this week

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Policy this week

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China to ASEAN

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Builders this week

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