A crosstie random access memory system for reading and/or writing, utilizing permalloy thin films patterned into "wiggle" shapes to form a plurality of memory cells in an array. Address lines for reading and/or writing into the memory cells are operative through associated circuitry for writing at selected locations in the array using coincident currents. Current passed through each column of memory cells effects magnetoresistance readout in conjunction with row address lines by means of the aforementioned associated circuitry which is arranged so as to be integrated on a single substrate with the memory array.