Abstract: The subject matter of this specification generally relates to data security. In some implementations, a method includes receiving, from data owners, a first cryptographically secure representation of data to be monitored for data breaches. Each first cryptographically secure representation can include a cryptographically secure data structure that represents a plurality of first data records maintained by the data owner. One or more second cryptographically secure representations of second data records are received from a user. A number of the second cryptographically secure representations that match a corresponding portion of the first cryptographically secure representation received from a data owner is determined. A determination is made that a data breach occurred for the data owner based on the number of the second cryptographically secure representations that match the corresponding portion of the first cryptographically secure representation received from the data owner.

Abstract: The subject matter of this specification generally relates to data security. In some implementations, a method includes receiving, from data owners, a first cryptographically secure representation of data to be monitored for data breaches. Each first cryptographically secure representation can include a cryptographically secure data structure that represents a plurality of first data records maintained by the data owner. One or more second cryptographically secure representations of second data records are received from a user. A number of the second cryptographically secure representations that match a corresponding portion of the first cryptographically secure representation received from a data owner is determined. A determination is made that a data breach occurred for the data owner based on the number of the second cryptographically secure representations that match the corresponding portion of the first cryptographically secure representation received from the data owner.

Abstract: The invention relates to redox-switchable material comprising a redox-active moiety adsorbed, bonded or both, to a semiconductor material. Among the preferred redox-active moieties disclosed herein are ferrocenes, acridines, and quinones though any such moiety may be employed. The redox-switchable material of this invention may be used to selectively remove one or more selected solutes from an aqueous solution wherein adsorption/complexation of the solute is influenced by the oxidation state of the redox-active moiety. In an alternative embodiment, inclusion moieties that are covalently bound to the redox-active moiety are employed to achieve selective complexation of the desired solute. Other possible applications of the disclosed materials are photoerasable writing media, electrochromic or photochromic materials, catalysis, and solar energy storage.