Using Apex

You can also use this library to call custom Apex methods:

payload = {
  "activity": [
    {"user": "12345", "action": "update page", "time": "2014-04-21T13:00:15Z"}
  ]
}
result = sf.apexecute('User/Activity', method='POST', data=payload)

This would call the endpoint https://<instance>.salesforce.com/services/apexrest/User/Activity with data= as the body content encoded with json.dumps

You can read more about Apex on the Force.com Apex Code Developer’s Guide