The offering could value the five-year-old A.I. start-up at $2 trillion, its bankers have told potential investors, which would exceed Elon Musk’s SpaceX.
From right, Dario Amodei, Anthropic’s chief executive, and Daniela Amodei, an Anthropic co-founder and Mr. Amodei’s sister, at a company conference in May.
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