Lawyers representing Danny Nightingale tried to quash the conviction at another Court of Appeal hearing.
They told three appeal judges that Sgt Nightingale had been placed under "undue pressure" to plead guilty by a barrister who represented him at the military court hearing.
Lawyers argued that the conviction was therefore "unsafe" and Sgt Nightingale's guilty plea a "nullity".
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Youth work charity Kids Company is to stop running services from Wednesday evening, it has been reported.
If the high-profile charity does close, its demise will have a huge impact - not only on those it helps but also on its supporters.
Lord Coe says athletics must "come out fighting" in response to widespread doping allegations, which he described as a "declaration of war".