Of course once those files are uploaded, you'll need to be able to list them. While
Prompt> curl -U user:pwd
https://site.com/v2/containers/<oid>
works just fine, you can get a lot more information by adding a depth header.
Prompt> curl -U user:pwd
https://site.com/v2/containers/<oid> -H "X-Cloud-Depth: 2"
will include a lot more information in the response. The depth can be from 0 to large, but a value of 2 or 3 usually gets the information I'm looking for (permissions, names, etc).
But be aware that the larger the value, the longer it takes to get a response.