>Unlike physical goods which can only exist in one place at one time, it is conceivable that with a powerful enough computer, the solution could be found entirely honestly by a third party simply doing some math and stumbling upon the answer at random, or by asking the right questions and exploiting some as-yet-undiscovered weakness in the implementation.
This seems fanciful, but there are in fact UTXOs which could be "owned" by multiple people without explicitly sharing the key. For example, Peter Todd created an UTXO that you spend by proving that a sha1 collision (any collision) exists [1]. Two parties could thus acquire ownership independently.
This seems fanciful, but there are in fact UTXOs which could be "owned" by multiple people without explicitly sharing the key. For example, Peter Todd created an UTXO that you spend by proving that a sha1 collision (any collision) exists [1]. Two parties could thus acquire ownership independently.
[1] https://bitcointalk.org/index.php?topic=293382.0