ArchiveClick от Mark Benjamin

The add-on adds a right-click menu item labelled "Archive Link" that opens a new tab at https://archive.ph / https://archive.today featuring the content of the link address.
That website creates a new archived page or loads an archived page with an option to refresh the archive

Version 0.0.2 adds the ability to click the toolbar icon to open the current page in https://archive.ph ; that toolbar button may be shown or hidden (pinned or unpinned) in the normal way from the browser

Version 0.0.3 opens the new tab in the background

Version 0.0.4 substitutes the more limited permission `activeTab` for the broader `tabs` permission found in the preceding versions

Version 0.0.5 makes launching the archive page in the current tab the default action when you click the toolbar icon; with an option (right-click menu, 'Manage' -> 'Preferences' tab) to revert to the 'new background tab' action as before

Version 0.0.6 adds more preference options, allowing the right-click to optionally open the archive page for the link in the current tab, as well as allowing new tabs to open in the foreground as an option; shift-click temporarily inverts the new tab / current tab setting, ctrl-click temporarily inverts the foreground/background new tab setting; ctrl-shift-click temporarily inverts both