Cloudflare DNS goes down, taking a large piece of the internet with it

Many major websites and services were unreachable for a period Friday afternoon due to issues at Cloudflare’s 1.1.1.1 DNS service. The outage seems to have started at about 2:15 Pacific time and lasted for about 25 minutes before connections began to be restored. Google DNS may also have been affected.
Update: Cloudflare at 2:46 says “the issue has been identified and a fix is being implemented.”
Discord, Feedly, Politico, Shopify and League of Legends were all affected, giving an idea of the breadth of the issue. Not only were websites down but also some status pages meant to provide warnings and track outages. In at least one case, even the status page for the status page was down.