You can't find it. When you use Stack Exchange's image uploader, you're not communicating directly with imgur; your browser makes a POST call to https://meta.stackexchange.com/upload/image?method=json (or an equivalent URL on the site you're on) and this is what you get back:
deleteHash; it could be that Stack Exchange saves it somewhere in their own database, since they're able to delete images, e.g. in response to DMCA takedown requests. But it could also be that they just send the URL of the image, since they have a special contract with imgur (that's why images are hosted on
i.stack.imgur.com instead of
This makes some sense; everything you write or upload here is subject to the Terms of Service which state this:
You agree that any and all content, including without limitation any and all text, graphics, logos, tools, photographs, images, illustrations, software or source code, audio and video, animations, and product feedback (collectively, “Content”) that you provide to the public Network (collectively, “Subscriber Content”), is perpetually and irrevocably licensed to Stack Overflow on a worldwide, royalty-free, non-exclusive basis pursuant to Creative Commons licensing terms (CC BY-SA 4.0), and you grant Stack Overflow the perpetual and irrevocable right and license to access, use, process, copy, distribute, export, display and to commercially exploit such Subscriber Content, even if such Subscriber Content has been contributed and subsequently removed by you
Being able to delete the image yourself would contradict this.