Fatal error viewing a contribution having a line item with no price field

To replicate:
Using the API, create a contribution with `skipLineItem` = 1, and let's say it creates contribution ID 12345. Next, create a line item with the following basic params:

$result = civicrm_api3('LineItem', 'create', array(
  'entity_id' => 12345,
  'qty' => 1,
  'unit_price' => 100,
  'line_total' => 100,
  'entity_table' => "civicrm_contribution",
  'financial_type_id' => "Donation",
));

Everything should go great. However, when you try to view the contribution on the web, you'll get a fatal error:

Sorry but we are not able to provide this at the moment.
Expected one PriceSet but found 9

Return to home page.

The page mistakenly assumes that the line item should have a price set ID, so it attempts a PriceSet.getsingle API call without specifying the ID, yielding the error.