Ibn Umar (may Allah be pleased with them both) said that the Messenger of Allah (peace and blessings be upon him) said: "There is no zakah on the wealth of one who acquires it until a year has passed over it."
Abd al-Rahman (bin Zayd bin Aslam) is da'if (weak) and is not used as proof.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الزكاة / 7323