The Docker daemon does record container creation and deletion via
events . Those logs have timestamps and canonical references to container names, so could be used for your purposes.
Unfortunately there isn’t (AFAIK) a good way to persist Docker events within docker itself (they can’t be logged to a file), however you could use something like
curl --no-buffer -XGET --unix-socket /var/run/docker.sock http://localhost/events
and redirect that somewhere to get a log of Docker events created on a host.
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