Structural Health Monitoring (SHM) technology has great unexplored potential in security applications. Specifically breakthroughs in graphene-oxide (GO) damage-detecting skins coupled with nonlinear, sparse signal processing techniques being used for SHM lend themselves to addressing the need for low-power remotely-readable tamper-evident seals. Assessing the integrity of a tamper-evident seal is inherently an SHM problem. In this case damage is caused by a human adversary, not the environment. This paper presents a novel architecture that leverages the tunable electrical properties of a GO-paper-based seal with a compressed-sensing (CS) acquisition protocol. This architecture allows the seal to characterize its integrity, while simultaneously providing an encrypted authentication feature making the seal difficult to counterfeit and/or spoof. The electrical properties of GO are sensitive to the traditional methods used to attack paper-based seals (mechanical lifting, solvents, heat/cold, steam). This property of GO allows us to determine if a seal has been tampered with simply by measuring its electrical properties. Specific areas of focus addressed by this work include the quantitative analysis of the encryption/authentication capabilities provided by CS, and methods for enhancing the detection of cracks/cuts propagating through the sensitive GO paper.