New statements have been made by Pyongyang that will do nothing to calm rising tensions on the Korean peninsula.<br /><br /> The North Korean leader, Kim Jong Un, says his country has miniature nuclear warheads that can be placed on ballistic missiles.<br /><br /> This is the first time he has publicly talked about possessing such a weapon, a claim that has not been independently verified. <br /><br /> Washington and Seoul also doubt it is true.<br /><br /> The claim comes only days after Pyongyang warned the US and South Korea that its army was on alert to carry out what it described as “indiscriminate” nuclear strikes.<br /><br /> The north is angry about the largest ever military exercise being carried out by American and South Korean soldiers. <br /><br /> Military experts in the north have also been ordered to quickly carry out more work on improving the precision of its missile systems.<br /><br /> Pyongyang has been slapped with tough new sanctions after carrying out its fourth nuclear test in January and a long-range missile test last month.<br /><br /> W