The currently un-titled show will focus on the story of several girls who got stuck in basketball hoops in his home town of Goole, which is in the East Riding of Yorkshire.
Writing on social media, Smith confirmed: "I'm very excited to say that the people at Radio 4 have finally caved in and commissioned me to write a show. It's a comedy documentary (and I'm not making this up) looking into the time when a string of teenage girls got stuck in basketball hoops in my home town of Goole."
Smith shared a news clipping on his Twitter feed to confirm that his source story is true:
Speaking further about the special, Smith said: "It's been a tough time for comedians and I, like many others, have had to retrain as a serious investigative journalist. I'll leave no stone unturned in my quest to finding out what the hell went on, why the hell it went on and who the hell it went on to."
Appealing to his social media followers, he signed off with: "If you know anyone who has been stuck in a basketball hoop - or know any of the girls from, what I'm calling, 'the Goole incident', please get in touch."
Radio 4 re-shared his post, with the comment: "We're proud to engage with important local issues."
Smith has previously hosted the web series Hope You Come Up Here, in which he gave viewers a guided tour of Goole. Here is the first episode:
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