Can I buy shares of OpenAI?

Hello there, I'm curious about investing in cutting-edge technology companies, and OpenAI has caught my attention. I've heard about their groundbreaking work in artificial intelligence and the potential for immense growth in this field. So, my question is: Can I actually buy shares of OpenAI at this point in time? Are they publicly traded, or is there some other way for investors like me to get in on the action? I'd appreciate any insights you might have on this matter.