Brief

OpenAI has announced that an internal model, speculated to be a version of GPT-5, has disproven an 80-year-old mathematical conjecture known as the Erdős planar unit distance problem. This general-purpose reasoning model achieved the result for under $1000, a feat that mathematicians are hailing as a significant milestone for AI in scientific discovery. The model's extensive output suggests that advanced reasoning capabilities are emerging in LLMs, potentially extending beyond mathematics to other scientific fields. AI

ByteDance has introduced Lance, a novel AI model capable of understanding, generating, and editing both images and videos within a single architecture. Unlike previous systems that often separate these functions, Lance was jointly trained from the outset to handle diverse tasks including captioning, visual question answering, text-to-image, text-to-video, and complex editing operations. The model achieves this by unifying all input modalities into a shared sequence and employing decoupled expert pathways for understanding and generation, enhanced by a new Modality-Aware Rotary Positional Encoding (MaPE) to manage different token types. AI

OpenAI announced that a general reasoning model has autonomously disproved an 80-year-old mathematical conjecture, the unit distance problem. This marks a significant advancement, as the AI generated an original proof using algebraic number theory, which has been verified by mathematicians. The company views this as a precursor to AI systems making original discoveries across various scientific fields. AI

Google DeepMind CEO Demis Hassabis announced Gemini for Science at Google I/O, a suite of AI tools aimed at accelerating scientific discovery, particularly in medicine. While Hassabis stated the company's hope to "solve all diseases," the article clarifies this refers to dramatically reducing the time for medical breakthroughs rather than an immediate cure. The tools build upon existing projects like AlphaFold, which aids in understanding protein structures, and AlphaGenome, which predicts DNA mutations, though ethical and practical limitations remain. AI

OpenAI has announced a partnership with Apple to integrate ChatGPT into iOS, iPadOS, and macOS, enhancing Siri and system-wide writing tools with GPT-4o capabilities. Google DeepMind has published research on scaling AI agent systems, identifying that multi-agent coordination improves parallelizable tasks but can degrade sequential ones, and has developed a predictive model for optimal agent architectures. Additionally, OpenAI has released resources on prompting fundamentals and shared insights from Netomi on scaling agentic systems in enterprise environments, highlighting the use of GPT-4.1 and GPT-5.2 for complex workflows. AI