If you're using it with iOS, you can enable Settings > Safari > Advanced > Web Console, then look in the web inspector of the download link from the install page on iOS. It will look like this (I swapped in gobbledegook text for some parts):
<a class="primary-button js-install-button" href="itms-services://?action=download-manifest&url=https%3A%2F%2Fapps.crashlytics.com%2Fprojects%2F2F2F2F2F2FF2F2F2%2Freleases%2F2200806%2Fdownload.plist%3Fdevice_id%2F2F2F2F%26device_token%234JH23L4KH234LK2J34H2LK34H2LK3J4H2LK3JH42L3K4JH23LK4JH2L3K4JH2L3K4JH2LKJ3H4%253D--2KJ3H4LK2J3H4L2KJ3H4LK2J3H4LK23JH4LK2J3H4L%26payload_token%2KL34JH2LK3JH4L2K3J4HL23KJ4HL23JK4" id="most-recent-install">Install</a>
Then just copy out the URL-encoded URL:
https%3A%2F%2Fapps.crashlytics.com%2Fprojects%2F2F2F2F2F2FF2F2F2%2Freleases%2F2200806%2Fdownload.plist%3Fdevice_id%2F2F2F2F%26device_token%234JH23L4KH234LK2J34H2LK34H2LK3J4H2LK3JH42L3K4JH23LK4JH2L3K4JH2L3K4JH2LKJ3H4%253D--2KJ3H4LK2J3H4L2KJ3H4LK2J3H4LK23JH4LK2J3H4L%26payload_token%2KL34JH2LK3JH4L2K3J4HL23KJ4HL23JK4
Then urldecode that on your command line using PHP:
php -r "echo urldecode('{PASTE THE ABOVE URL HERE}');"
(Make sure that you use double quotes around the PHP line, and single quotes around the URL.)
Then paste the URL-decoded result into Safari on your Mac. You'll see an XML file; copy the download link and paste into your browser. This will download the IPA to your Mac :D