Feature Idea: UI code to create an original-of page and/or widget

I noticed that Kartik has an an original-of page at https://kartikprabhu.com/original-of which may have inspired the original-of URL functionality for use in Syndication Links.

For improved UI, is there a code snippet that could be created (or which already exists?) that could be added to a custom page to allow the creation for a simple search for such things the way Kartik has done? I’m thinking of something along the lines of <?php get_search_form(); ?> which can be added to 404 page templates to allow the addition of a search box on such a page to get the user moving in the right direction.

This type of original-of search functionality could also be added to a simple widget as well so that one doesn’t need an entire page for it. Suggested verbiage: “Have a social media permalink for a piece of content? Use it here to search for the original version on this site.”