How does accounts receivable work in practice?
The moment you raise an invoice, the sale is recorded and the customer becomes a debtor. Accounts receivable is the running total of those unpaid invoices. When a customer pays, the receivable is cleared and the bank goes up.
It is an asset because it is money you are entitled to. It is also the least useful kind of asset, because you cannot pay wages with it. A business with £20,000 of receivables and £500 in the bank is rich on paper and broke in practice.
The figure is only as good as the invoices behind it. An invoice that will never be paid is not really an asset, which is why receivables are reviewed by age and written off when they go bad.