Pingbacks attempt to notify the website you have linked in your post but the default WordPress behavior sends a ping also to the posts you have interlinked within your website. This shows a trail of similar content in the comments section which some users find useful but annoying for others running bigger websites with lots of content.
You can separate trackbacks, pingbacks from the actual comments section for a better look or you can disable pingbacks sitewide from Settings -> Discussions page by unticking ‘Attempt to notify any blogs linked to from the post’ option on your website but that also stops sending notifications to other websites which might be useful for bringing new traffic when you write articles linking to some external website.
Another way is to simply disable the self pingbacks on your WordPress website so that you don’t find new pingbacks coming for approval in the comments section after you post new articles linking to the posts within your website.
Simply install and activate a plugin called No Self Pings, once the plugin is activated, the self pings are gone. It also adds a new section on Settings -> Discussions page where you can specify more domains that you don’t want to be pinged.