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The invention relates to the field of protecting products against counterfeiting and is intended for using an instrument for determining the authenticity of printed products to be protected, such as banknotes and securities forms, labels, excise stamps and postage stamps, payment and identification documents, and also passports and travel documents. The aim and technical solution of the proposed invention consist in creating a product containing a carrier with hidden security markings applied to the surface thereof, wherein the markings are carried out using a luminescent inorganic compound having a crystalline structure based on rare earth elements, characterized in being capable of Stokes or Anti-Stokes luminescence outside of the visible range of the optical spectrum, carried out under the influence of an excitation radiation which is within a first spectral range, and under a second influence on said luminescence by a stimulating radiation which is within a second spectral range, and characterized in that the intensity of the luminescence can change without changing the spectral composition thereof. The proposed technical solutions and methods for controlling authenticity provide for a high level of counterfeiting protection for a valuable document.