(9)To appropriately document the contractual arrangements between the financial entities and the ICT third-party service providers as required by Regulation (EU) 2022/2554, it is understood that ICT third-party service providers should provide for an identification number which allows for their consistent and accurate identification by the financial entities and by the ESAs, the Oversight Forum, and the competent authorities, when exercising their supervisory powers, including for the designation of critical ICT third-party service providers under Article 31 of that Regulation. Concerning legal persons, the LEI and EUID are recognised international and European identifiers ensuring the consistent, unique and robust identification of companies. Consequently, either of these two identifiers should be used for the identification of the ICT third-party service providers established in the Union for the purposes of the application of that Regulation and should be considered as information that is common to all contractual arrangements, whereas the ICT third-party service providers established in third-countries should be identified with LEI only. The templates used for the register of information about the ICT third-party service providers should require information on either of these two identifiers for ICT service providers that are legal persons, while allowing natural persons acting in the capacity of ICT service providers to use alternative identification codes.