What tools can you use to save specific pages of sites (your own web archive)?

Question

Parsing

For my own (or maybe not) needs, I made a bookmarking service www.relater.ru and I want to attach the ability to save a specific page to which a bookmark is being made (in case the final page is not available).
The first thing that came to mind was to stupidly download the page with wget, and then work with it (or leave it as it is in the archive).
... but ideally, I would like to save the page as in Facebook or VKontakte (namely, the text of the article), but I can’t imagine how to “pull out” the content from the page (text of the article) and exclude garbage (header, footer, menu elements).

Answer 1

Solution found - https://github.com/feelinglucky/php-readability , largely influenced by @MonkAlbino's answer

Answer 2

What algorithm does Readability use for extracting... in English SO.
How it is done parsing a hundred ... on Habré from Mail.ru

Answer 3

How to save html page using php to .rtf format for later printing?