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 Is there a way to measure the true supply of Monero? 
 you can issue a command to your node on cli to do this. I believe it checks the coinbase transactions, but I'm not absolutely sure. 
 is it an explicit or implicit check? I'm curious because, I believe, no amounts can really be viewed on chain without the view id. Do I have that right? 
 I don't think it's possible because amount are hidden, maybe there is a supply glitch ^^ 
 That's what I was thinking 🤔 
so if there is an inflation bug, would people know? 
 We need to keep in mind this is close to impossible, we need to trust only one thing: the code

It's open source and was checked many many times, it's robust. But you should not think a supply bug or exploit is impossible on public ledger like Bitcoin, it's possible and happened in the early days, it's was on some blockchain too and it took years to discover, maybe there is actually one glitch on Bitcoin and we don't know, maybe someone will find it or maybe not. After 10 years of battle-testing, If someone find a way to create fake Monero, this deserve respect ^^ 
 Block reward is transparent so you can literally count it up from genesis. 
Or run a node.