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I have checked, many times.

Wikipedia
“Jimi Hendrix – Musician, completed paratrooper training 1962, discharged soon after.”

Wikipedia “After completing eight weeks of basic training at Fort Ord, California, he was assigned to the 101st Airborne Division and stationed at Fort Campbell, Kentucky.[41] He arrived there on November 8, and soon afterward he wrote to his father: “There’s nothing but physical training and harassment here for two weeks, then when you go to jump school ... you get hell. They work you to death, fussing and fighting.”[42] In his next letter home, Hendrix, who had left his guitar at his girlfriend Betty Jean Morgan’s house in Seattle, asked his father to send it to him as soon as possible, stating: “I really need it now.”[42] His father obliged and sent the red Silvertone Danelectro on which Hendrix had hand-painted the words “Betty Jean”, to Fort Campbell.[43] His apparent obsession with the instrument contributed to his neglect of his duties, which led to verbal taunting and physical abuse from his peers, who at least once hid the guitar from him until he had begged for its return.[44]
In November 1961, fellow serviceman Billy Cox walked past an army club and heard Hendrix playing guitar.[45] Intrigued by the proficient playing, which he described as a combination of “John Lee Hooker and Beethoven”, Cox borrowed a bass guitar and the two jammed.[46] Within a few weeks, they began performing at base clubs on the weekends with other musicians in a loosely organized band called the Casuals.[47]
Hendrix completed his paratrooper training in just over eight months, and Major General C.W.G. Rich awarded him the prestigious Screaming Eagles patch on January 11, 1962.”

Daily Express- Jimi Hendrix: the Purple Haze paratrooper

“PRIVATE James Marshall Hendrix made his 25th parachute jump as a member of the US Army’s 101st Airborne division in early 1962.”