Even if you somehow didn't realize that search engines would index the stuff you share publicly on the internet, you should realize that if you create a link that gives anyone with that link access to something and share it in public, then you no longer have any control over who has access to whatever you shared.
I would expect that most people do realize this, and that the vast majority of chats that have been indexed do not include anything that the owner considers to be sensitive. But that doesn't make for as exciting an article
To share a chat via https://claude.ai/, you first have to click on the "Share" button in the top right corner of the chat window. On mobile you first have to click the
...button in the same location, before that button appears. You then have to click the "Create public link" button. That creates a link to that chat that allows anyone to view it.However, each chat is identified by an UUID4 in the URL (e.g.
https://claude.ai/share/01234567-890a-bcde-f012-34567890abcd)*. That means that the URL cannot be guessed even if you accidentally make a chat public, and search engines cant index it either. For anyone else to actually access the chat, you have share the URL with them.While it is theoretically possible that somebody went through all those steps purely by accident, it seems is very, very unlikely to me
* Additionally, this public URL is different from the URL you use to access the chat, meaning that sharing your private URL by accident and later creating a shared URL does not allow anyone else to access the chat from the private URL