Artificial intelligence firm Anthropic is moving toward a public listing, filing confidentially with the U.S. Securities and Exchange Commission for a proposed IPO. This marks its meteoric rise from a research lab to a leading AI company, now valued at $965 billion.Anthropic stated the filing "gives us the option to go public after the SEC completes its review," adding the IPO "will depend on market conditions and other factors." The company has not yet decided on share number or price.Last week, Anthropic announced it raised $65 billion in private funding, pushing its valuation to $965 billion. This makes the five-year-old Claude chatbot maker one of the world’s most valuable startups.The announcement vaulted Anthropic ahead of its chief rival, ChatGPT maker OpenAI, in market value and reported revenue. Anthropic now reports $47 billion in annualized revenue from selling its technology to users employing Claude for coding and other tasks.Formed in 2021 by former OpenAI leaders, Anthropic, OpenAI, and Elon Musk’s SpaceX are all expected to go public. All three, however, are still losing money, fueling "AI bubble" concerns.(Reuters)Last month, Elon Musk’s SpaceX announced it’s planning to go public, which is expected to become the first U.S. market debut to surpass a trillion-dollar valuation.A successful offering would immediately position SpaceX as one of the world’s most valuable publicly traded companies, marking the second entity within Elon Musk's expansive business empire to exceed a $1 trillion market capitalization.While SpaceX initially gained prominence for its rocket manufacturing and satellite launches, the majority of its $18.67 billion revenue last year stemmed from its Starlink satellite internet service. Much of its projected future growth is now tied to artificial intelligence-related ventures, though its nascent xAI unit is currently operating at a loss, according to the recent filing.Should the sale achieve its target, the company could be valued at a record-setting $1.75 trillion. This valuation would place its founder on a trajectory to become the world's first trillionaire, validating years of challenging conventional wisdom through the development of rockets capable of landing and being reused.