Has anyone been able to use the SharePoint Designer "Call HTTP Web Service" action with the _vti_bin/author.dll methods?
In particular, I'd like to move documents and their version history from one library into a sub folder of another library.
Actually you don't need to use the author.dll to move files between libraries. This can be done via object model to.
In the blog post Maintain file version history when moving/copying files between SharePoint sites you will find detailed information what you need to do. This also includes a code snippet you can use.
In Office 365 you can create a sand box solution that uses the server side code because all the required code is available. The code from the Article can also be rewritten to support client object model. If you don't like to execute it directly in Office 365. Please take a look at Microsoft.SharePoint.Client.File or Microsft.SharePoint.Client.FileVersionCollection.
Author.dll is more likely to be used only by SharePoint Designer.
I use the Web Request action with Nintex Worflow.
(Your web URL)/_vti_bin/_vti_aut/author.dll Method: POST Content Type: application/x-www-form-urlencoded Header Name: X-Vermeer-Content-Type Header Value: application/x-www-form-urlencoded
method=move+document:184.108.40.20620&service_name=/&oldUrl=(Your source path and filename)&newUrl=(Your destination path and filename)&url_list=&rename_option=findbacklinks&put_option=overwrite,migrationsemantics
Figured out how to do it with the REST service and 2013 workflow's Call HTTP Webservice.
Haven't succeeded yet with author.dll