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How is wallet balance from unspent transactions in cryptography terms?

There is already a good almost complete answer here (but missing the cryptography explanation): How is a wallet's balance computed? Is a bitcoin wallets balance calculated on the client computer app? eg. Leger Live How is bitcoin wallet balance calculated cryptographically? Does Ledger Live app check/compare each transaction+hash & transaction+signature hash like mempool nodes do? Or does it only look at the unspent output addresses and check if they are children of wallet public key? If so how does it do this in cryptography terms?

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I have BTC mined in Bitcore 0.9, with balance however the system no longer synchronizes, and in the blockchain is no balance

I will mine some BTCs in the bitcore 0.9 version from August to December 2019, they are listed in my history as "generated" and with several confirmations with one, the balance appears in my system, however when I put the key or the hast on the blockchain there is no balance. Another problem is that my system is stuck, it doesn't synchronize anymore, I've tried using a 0.20 and 0.18 bitcore, I copied the wallet to the new systems but then the transactions appear without validation, even synchronizing the system. Does anyone know what I should do?

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This Bitcoin [BTC] Crypto Exchange ‘Reserve Indicator’ Suggests Accumulation

As the volatility in Bitcoin’s price has been stagnant for a couple of weeks, another ‘intuitive indicator’ of crypto exchange reserve gap suggests bullish accumulation.  The intuitive indicator is built by plotting the difference between the 30 and 90-day average of the crypto exchange reserves. We are witnessing a huge drop in its value indicating a reduction in exchange reserves. According to the CEO of CryptoQuant (the firm that introduced the indicator), Ki Young Ju this is reminiscent of accumulation as the downside risk of sell-off is limited; he tweeted, We can see how much #BTCis being deposited on exchanges this…

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bitcoin-cli how to verify balance

I've read that addresses alone are a "confusing" way to think about "where" bitcoins "are". Nonetheless I was formerly (2018) able to correlate what I got from bitcoin-cli commands with what I saw on blockchain explorers like https://www.blockchain.com/btc/address/ e.g. back in 2018 getaccountaddress would list 1 address, getaddressesbyaccount would list that plus a 2nd address, getaddressesbylabel would list those same two addresses, getwalletinfo would show a 0.0003 balance, and listaddressgroupings would also show that balance. Now in 2020, that online explorer still shows that 0.0003 BTC balance, as it did in 2018, but due to deprecated cli commands, how can…

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