Techniques for reducing storage space and detecting corruption in hash-based applications are presented. Data strings are hashed or transformed into numerically represented strings. Groupings of the numeric strings form a set. Each numeric string of a particular set is associated with a unique co-prime number. All the numeric strings and their corresponding co-prime numbers for a particular set are processed using a Chinese Remainder Theorem algorithm (CRT) to produce a single storage value. The single storage value is retained in place of the original numeric strings. The original numeric strings can be subsequently reproduced and verified using the single storage value and the co-prime numbers.