business language - What is a document called, which records the process of a company giving its staff necessary items to their use for work?

Sorry for slaying the English in the title but I don't know how to be more explanatory.

For example John starts working with Microsoft as a programmer, and the company gives him a computer which is still company's property, but for the usage of John. What is that action called? Issuing? Commisioning? Deploying?

What would be the name of a document which records that action?

Answer

Issued sounds right. Assigned is another good possibility.

I would call the document that records the action a property record. Many organizations keep track of computers and other assets issued to employees by assigning property numbers to such assets and by maintaining property records in property databases. Local organizational property custodians (or equivalent) reconcile such inventories on some required basis, e.g., annually. The individuals to whom property is issued or assigned are responsible for the property issued or assigned to them. It's all in the property records.