The plan, which has not been finalized, involves Google providing cloud computing services to Anthropic, according to the people, who asked not to be named because the information is private. Google is a previous investor in, and cloud provider for, Anthropic. Anthropic and Google declined to comment. Google shares jumped more than 3.5% in extended trading, while Amazon.com Inc., also an Anthropic investor and cloud provider, slipped about 2%. Amazon has committed to invest about $8 billion in Anthropic, which is a key AI customer of Amazon Web Services, and a major user of Amazon’s custom AI chips.