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Render the document.
The only JSS specific thing you need to know is the Style Sheets registry. It will allow you to get all attached sheets as a CSS string. Rendering of the document depends on the framework you use, here is an example in react.
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Rehydration.
Once JS is loaded on the client, components initialized and your JSS styles are regenerated, it's a good time to remove server-side generated style tag to avoid side-effects, example in react.
Here is a live demo with react, SSR and React-JSS.