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Marketing & SEO Rich #pagerank#authority#link-equity

Page Authority Math

How PageRank flows: incoming links divided by outgoing, dampened, summed across the graph.

A free, animated page authority math you can read here or embed on any website, from Scrollchart.

Page Authority Math

Page Authority Math (PageRank)PR(page) = (1 - d) + d * sum(PR(src) / out-links(src)), damping d = 0.85

A small directed graph of pages with link equity flowing forward, dampening factor applied at each hop, and the resulting authority scores converging across iterations.

Good for

  • Technical SEO workshops explaining why internal link architecture directly controls which pages rank
  • Site migration audits identifying deep or orphaned pages losing equity due to navigation restructuring
  • Link-building strategy articles showing why acquiring links to inner pages outperforms homepage-only link acquisition for competitive queries

Source & accuracy

This page authority math is an editorial illustration built to represent the concept accurately. Where it shows figures, they are typical or representative values chosen to make the relationship clear, not a single underlying dataset. The diagram and its explainer are reviewed and maintained centrally, and updated over time as understanding improves.

How PageRank distributes across links

PageRank is a vote: a page with 10 referring links has more authority than a page with 1. But the value of that vote depends on the authority of the voters. A link from the New York Times homepage carries more weight than a link from a private forum. Google models this recursively, treating each link as a fractional vote weighted by the referring page's own PageRank.

The damping factor (typically 0.85-0.90) models user behavior: when a user clicks a link, they have a small chance of leaving the web entirely or typing a new URL. This factor prevents infinite authority concentration and reflects that web users don't follow pure chain logic.

Link distribution and crawl efficiency

A page with 100 outgoing links dilutes the PageRank it passes to each link compared to a page with 10 outgoing links. That's not a penalty; it's a consequence of the math. A homepage that links to 300 products dilutes authority to each product. Adding a navigational hub that selectively links only to top-performing product categories concentrates authority where you need it.

Internal link topology shapes how authority flows. Deep site architecture (product buried 5 layers deep) receives diluted authority unless you strengthen the chain with strategic cross-links. This is why hub-and-spoke topical structures outperform single-level catalogs.

Embed this diagram

Add this animated page authority math to your own site. Copy one line of HTML, or use the embed builder for theme and sizing options.

Reference

What this is
A free, embeddable, animated page authority math for any website.
Who uses it
SEO agencies & blogs.
How to embed
Copy one line of HTML. No signup. No watermark. Works in WordPress, Webflow, Ghost, Substack, plain HTML.
File size
iframe embed, ~80 KB gzipped (loads on demand, does not block your page paint).
License
Free forever. Editorial explainer text included; updated centrally over time.

Embed format options

Copy the universal HTML snippet, the WordPress shortcode, or an iframe fallback - see the WordPress plugin page for details. Any format keeps the same Core Web Vitals profile and the same explainer text.

Embed snippet
<div data-scrollchart="page-authority-math" data-scrollchart-v="1"></div>
<script src="https://scrollchart.com/embed.js" async></script>

Frequently asked questions

Where can I get a free animated "Page Authority Math" for my website?
Scrollchart provides "Page Authority Math" as a free, embeddable animated diagram you can add to any website with one line of HTML. No signup is required and there is no watermark. The diagram and its explainer text are served from scrollchart.com, so the embed stays current without any maintenance on your end.
How do I embed a page authority math in WordPress or a static site?
Paste the HTML snippet from the Scrollchart diagram page into your WordPress post (in HTML/code view), your Webflow embed block, or directly into a static HTML file. No plugin is needed. The diagram loads from scrollchart.com and paints in as the reader scrolls.