It works the same way here in the UK. Some companies ask your previous salary, and sometimes check your references, and sometimes your previous employer will disclose what your salary was. If it turns out you lied nothing bad happens, but you've just given your new employer a reason to dismiss you.

The main problem with the UK system is that it means that if you were underpaid before you're likely to continue to be underpaid in your next role (if you accept a low salary again). For that reason when I'm hiring I've stopped asking for someone's previous salary, and just ask them what they want instead. If it's in the right ballpark everyone's happy. If they lowball themselves I ask why and usually get "That's x% more than I'm on now.", which leads to a conversation about how they're underpaid and should be asking for more. If they ask for too much then I just don't hire them because I can't afford them.

There's a new law coming in where companies have to disclose salary bands now, which at least means people will understand the bottom end. That's going to make the salary negotiation part of hiring a lot easier.

It's japan, they're a high trust society