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What embed method are you using?
I think this could only be possible using the source code of your form, this guide will help you to get it: http://www.jotform.com/help/104-How-to-get-the-Full-Source-Code-of-your-Form.
Hope this helps.
I'm sorry but that makes little sense to me. I ended up modifying the source code, but JotForm injects so many global variables and interferes with single page applications in such a way that makes it very undesirable to use the source code solution.
What is the API that you are using?
Perhaps there is other way to achieve it, or we could request for an integration with the service that you are using so our developers might implement it.