render openapi spec client-side

- move spec to _static/rest-api.yml, since the original yaml must be served
- copy javascript rendering code from FastAPI (uses swagger-ui)
- remove link to pet store, since there isn't a big enough difference to duplicate it
- remove bootprint rendering with node

docs/source/reference/rest-api.md

@@ -0,0 +1,27 @@
+# JupyterHub REST API
+
+Below is an interactive view of JupyterHub's OpenAPI specification.
+
+<!-- client-rendered openapi UI copied from FastAPI -->
+
+<link type="text/css" rel="stylesheet" href="https://cdn.jsdelivr.net/npm/swagger-ui-dist@3/swagger-ui.css">
+<script src="https://cdn.jsdelivr.net/npm/swagger-ui-dist@3/swagger-ui-bundle.js"></script>
+<!-- `SwaggerUIBundle` is now available on the page -->
+
+<!-- render the ui here -->
+<div id="openapi-ui"></div>
+
+<script>
+const ui = SwaggerUIBundle({
+  url: '../_static/rest-api.yml',
+  dom_id: '#openapi-ui',
+  presets: [
+    SwaggerUIBundle.presets.apis,
+    SwaggerUIBundle.SwaggerUIStandalonePreset
+  ],
+  layout: "BaseLayout",
+  deepLinking: true,
+  showExtensions: true,
+  showCommonExtensions: true,
+});
+</script>