The non-flat keys for those were referred to as their "corrugated" keys.
The flat one are still produced today.
There were two main sizes. The larger has four pins. The smaller only has three pins.
There was another one that is more unusual and harder to find. They were produced by Yale specifically for one customer - PGL&C CO. People's Gas Lamp and Coke Company. It is different because instead of the key pins pushing the driver pins/springs out of the shackle into the padlock body, the key pins push the springs and driver pins INTO the shackle.



Just a little history tidbit. Here is another about PGL&C Co. They constructed the first long distance, high pressure steel natural gas pipeline. It went from northern Texas to Chicago, Illinois in the United States. That was 90 years ago in 1932, and made industrial use of natural gas commercially viable.
Sometimes learning about the locks can teach you some surprising things about history.
Gordon
Just when you finally think you have learned it all, that is when you learn that you don't know anything yet.