Carina Hong, founder and CEO of Axiom Math, joins the AI for Science podcast right after closing a $200M Series A to argue that the road to superintelligence runs through formal verification — not as a bug fix, but as the only way to compound and scale AI brilliance. Her company, seven months old and 30 people strong, scored a perfect 120/120 on the 2024 Putnam exam, beating the best human and every other AI system at the time. We dig into the Lean theorem prover, why verified generation gives better training signal than informal RL, the hard specification problem, and why Carina believes an informal system alone can never reach math AGI.