This week marked significant shifts in AI capabilities, licensing, and market valuations. OpenAI demonstrated a major breakthrough in test-time compute scaling by utilizing approximately 10,000 parallel agents over 88 hours, followed by 17 hours of formal verification, to propose a proof for the Navier-Stokes singularity problem. Simultaneously, DeepSeek released v4.1 Flash, which introduces a novel causal encoder-decoder architecture that integrates vision capabilities and optimizes context efficiency, moving away from its previous V4 Pro model. The open-model landscape has also fractured: while Western entities like Google and Meta have adopted the permissive Apache 2.0 license, Chinese models are becoming increasingly restrictive. Notably, Zhipu's GLM-5.3 now includes a custom license with a $10 billion affiliate revenue trigger, and Kimi K3 requires commercial agreements for fine-tuning and inference. On the financial front, massive funding rounds have pushed valuations to historic heights, with Cognition reaching $48 billion and Mistral hitting $24 billion, contributing to a total private AI market valuation estimated between $4 and $5 trillion. These developments signal a transition toward complex multi-agent coordination and a heightened need for legal scrutiny regarding model deployment.