If someone steals my check and cashes it, who takes the loss?

Let’s say I bill a client for $1000 and the client mails me a check. Someone steals it right out of my mailbox and sells it to an outfit that brokers hot checks, and it gets cashed somewhere in another state.

Do I simply suffer the loss, just as much as if someone snatched my purse? The client has paid out the funds and doesn’t owe me anything. The thief isn’t going to come around and split the take with me. My bank isn’t involved at all. The feds won’t like the mail theft, but that won’t put cash in my account. Do I have any recourse, or am I just out a thousand dollars?

Please note that I am not asking how to protect my mailbox. That would be a different question entirely. Thank you.

Tags as I wrote them: mail theft, stolen checks, loss, crime, money, insurance.