Google's Gemini models hold a narrow edge in trader sentiment for second place in Text Arena Math by end of October, driven by consistent high Elo scores in recent human preference votes and strong results on reasoning benchmarks. Anthropic's Claude Opus and Fable variants lead overall math arena rankings but face competition from OpenAI's GPT-6 series, which has demonstrated rapid progress on open research problems including Navier-Stokes solutions and formal proofs. Z.ai, Moonshot, and Alibaba models show competitive open-weight performance on AIME and FrontierMath evaluations, while Meta and others trail on specialized math tasks. Key catalysts ahead include any late-September model updates or developer conference announcements that could shift arena voting momentum before the October resolution window.