Update Current Page URL for Better SEO

I am using this plugin and it works fine. However I can’t find any option to enable browser URL auto update when infinite-scroll load new page content. A demo site for this feature is at Infinite scroll with pagination demo, when user scrolls forward or backward, the browser URL is updated to show current page URL.

Appreciate if anyone can let me know:

• If infinite-scroll plugin already built-in this feature, may I know how to enable it?
• If it is not built-in, what is the best practise to integrate it to infinite-scroll plugin and how?

Some relevant info:

• Modify the URL without reloading the page
• Infinite scroll search-friendly recommendations