Systems and methods for recovering passwords from a hash value input are provided. A password space may be segmented into password sets, and a digest set may be generated for each password set. Probabilistic data structures representing the digest sets may be generated. One of the probabilistic data structures may be queried with the hash value input to determine whether the hash value input is likely included in the digest sets. In response to the hash value input being determined to be likely included in the digest set, the passwords constituting the password set corresponding to the digest set may be regenerated, and the hash values constituting the digest set may be regenerated. The generated hash values may be compared to the hash value input to determine a hash value from the digest set that matches the hash value input to recover the password associated with the matched hash value.