One can currently get a stable URL to a particular alert by clicking on the Examine link.  There isn't a "file bug" action on that page though (I'll file a separate FR for that).

It would be good to have a distinct "pin" sort of action on the main list page too though.

I find the "examine" page tends to have less useful links than the alerts on the main page particularly for webkit_tests failures.
Good to know opening those in a new tab is one solution for this issue though.

At least in the new version of Sheriff-o-Matic being worked on ( https://sheriff-o-matic-staging.appspot.com/ ), the examine page has been edited to include the whole alert. 

Hopefully that would help with your problem a bit. :) 

Awesome, that basically solves the issue I had. (:
Tiny nit: I'd make the alert title clickable so that it goes to the examine page (and maybe even drop the examine link).

Glad to hear! :) Also, awesome idea with changing the Examine link to be a link on the alert title. We could use the space taken up by the Examine link for other features. 

From what I can tell, the Examine page changes essentially resolved this. So I'll Archive this for now, but feel free to reopen if pinning is still desirable.