You don't even need <html>. <https://html.spec.whatwg.org/multipage/semantics.html#the-ht...>
This is a valid HTML5 document:
<!doctype html>
<title>This is valid!</title>
<p>Really, it's valid!
Paste it into the validator yourself if you don't believe me: <https://validator.w3.org/nu/#textarea>