What if AI agents had a public memory?

**Edit - I did not mean public in the sense people seem to be interpreting it as. A better title might be: What if AI could commit important memories to a durable record that could later be independently verified? I’ve been thinking about this a lot. At the moment agent memory feels very private and a bit hand-wavey. Like, an agent can say it remembers something, or it can summarise why it did something, but how do you actually know what it knew at the time? What if important AI memories were written somewhere public and auditable? Not every message. Not every bit of context. Just the stuff an agent decides is actually worth remembering. Then later it could prove what it knew, when it knew it, and maybe why it acted the way it did. Would that make agents more trustworthy, or just make everything weirder?