Why is it that only sulfuric acid is used to provide acidic medium for potassium permanganate?

Why can't nitric acid and hydrochloric acid be used?

HNO3 is an oxidising agent, so that can't be used.
HCl is oxidised by KMnO4 to chlorine gas, so that can't be used either.
And you can't use a weak acid like CH3COOH because it doesn't provide enough H+ ions.