Although inconceivably impossible, there IS always a chance that two different nodes generate the same private key, which cryptographically precludes identical

Although inconceivably impossible, there IS always a chance that two different nodes generate the same private key, which cryptographically precludes identical public/private keypairs... generated in earnest... at two separate locales. But this is MORE LIKELY than you brute-forcing the private key to a known public key. ---- Also, for technical accuracy... it's not just SHA-256 keys that drive bitcoin network. One of the reasons to "never re-use the same receiving address" is that different algos are used for a new-key-never-sent VS re-used-key . You are technically making the process "easier" by re-using the same private key to push a transaction. ---- <3 from your least favorite infamous bitcoin node operator