Install the python-magento package and simply pass in database table columns with some criteria. I had difficulty figuring out the structure of the filters because there’s so little documentation/examples anywhere online and, where there are, they all differ format/version.

So, here’s an example:

import magento
import json

_USERNAME = "apiuser"
_PASSWORD = "password"
_HOSTNAME = "dev.bugatchi.com"
_PORT = 80

m = magento.MagentoAPI(_HOSTNAME, _PORT, _USERNAME, _PASSWORD)

filters = {
    'created_at': {
        'from': '2013-05-29 12:38:43',
        'to': '2013-05-29 12:55:33',
    },
}

l = m.sales_order_invoice.list(filters)
print(json.dumps(l))

Output:

[
    {
        "created_at": "2013-05-29 12:38:43",
        "grand_total": "447.1400",
        "increment_id": "100000036",
        "invoice_id": "38",
        "order_currency_code": "USD",
        "order_id": "186",
        "state": "2"
    },
    {
        "created_at": "2013-05-29 12:52:44",
        "grand_total": "333.2100",
        "increment_id": "100000037",
        "invoice_id": "39",
        "order_currency_code": "USD",
        "order_id": "185",
        "state": "2"
    },
    {
        "created_at": "2013-05-29 12:55:33",
        "grand_total": "432.2600",
        "increment_id": "100000038",
        "invoice_id": "40",
        "order_currency_code": "USD",
        "order_id": "184",
        "state": "2"
    }
]

Note that debugging is fairly simple since a failure will return the failed query (unless the server is configured not to). So, you can use that to feel out many of the column names and comparison operators.