Does OpenAI do continuous number encoding?

we have a thread on this here (GPT-4o Model: Image Coordinate Recognition), it sorta works already, kinda. I expect it to get a lot better over time

There’s already an approach for this, generally: embedding models. You can remap embeddings (Customizing embeddings | OpenAI Cookbook) if you want, in theory. (I don’t know if anyone still does this though)