Anthropic’s commanding 96.5% market-implied probability rests on its May 2026 Series H round that set a $965 billion post-money valuation—the highest among private companies—powered by $65 billion raised and a reported $47 billion annualized revenue run rate from Claude enterprise API usage. Subsequent secondary trading and IPO prospectus details have reinforced this lead over OpenAI’s roughly $852 billion mark and Databricks’ $190 billion valuation. With a confidential S-1 filed and an expected October–November listing window, traders see little near-term risk of another private firm closing a comparable round or achieving comparable scale before month-end. A last-minute regulatory delay or an unexpected mega-round by a rival could theoretically shift the ranking, though current filings and capital flows make such outcomes remote.