I doubt you'll be happy to hear this, but as of today the official Magento documentation does not seem to indicate that Admin Configuraiton details are avialble via the REST API for version 1.X of Magento.
Here's what IS included (from http://www.magentocommerce.com/api/rest/introduction.html):
REST Resources
The Magento REST API allows you to manage customers, customer addresses, sales orders, inventory, and products. REST API is organized into the following categories:
Products
- Retrieve the list of products, create, update, and delete a product.
Resource Structure: http://magentohost/api/rest/products
Product Categories
- Retrieve the list of categories assigned to a product, assign, and unassign the category to/from the specific product.
Resource Structure: http://magentohost/api/rest/products/
roductId/categories
Product Images
- Retrieve the list of images assigned to a product, add, update, and remove an image to/from the specific product.
Resource Structure: http://magentohost/api/rest/products/roductId/images
Product Websites
- Retrieve the list of websites assigned to a product, assign, and unassign a website to/from the specific product.
Resource Structure: http://magentohost/api/rest/products/roductId/websites
Customers
- Retrieve the list of customers, create, delete a customer, and update the customer information.
Resource Structure: http://magentohost/api/rest/customers
Customer Addresses
- Retrieve the list of customer addresses, create, update, and delete the customer address.
Resource Structure: http://magentohost/api/rest/customers/:customerId/addresses
Inventory
- Retrieve the list of stock items and update required stock items.
Resource Structure: http://magentohost/api/rest/stockitems
Sales Orders
- Retrieve the list of sales orders as well as the specific order information.
Resource Structure: http://magentohost/api/rest/orders
Order Items
- Retrieve order items for the specific order.
Resource Structure: http://magentohost/api/rest/orders/
rderId/items
Order Addresses
- Retrieve information on order billing and shipping addresses for the specific order.
Resource Structure: http://magentohost/api/rest/orders/rderId/addresses
Order Comments
- Retrieve order comments for the specific order
Resource Structure: http://magentohost/api/rest/orders/rderId/comments
Sincerely,
Bryan “BJ” Hoffpauir
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