By default, systemd does not notify you when a service crashes. However, you can use the ExecStopPost directive to trigger a command when a service stops, including after a crash.
The problem with this approach is that frequent crashes can result in a large number of individual emails, which can be overwhelming. To address this, I’ve created systemd-crash-digest which accumulates crash notifications in a file and sends a single email digest at configurable intervals, reducing email overload while still providing essential failure summaries.
For full setup instructions, visit the GitHub repository.