Are bitcoin digital signatues publicly available?Like for instance,are Satoshi's digital Signatures available in public?

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Yes, digital signatures are used for approving transactions that are recorded on the blockchain. They are included in the transaction details in the block where the transaction is confirmed.

For example, Satoshi's digital signature can be seen in the first-ever transaction, when he sent 10 bitcoin to Hal Finney. That transaction can be seen here: https://mempool.space/tx/f4184fc596403b9d638783cf57adfe4c75c605f6356fbc91338530e9831e9e16

This is how blockchain analysts have been able to estimate that Satoshi owns approximately 1 million bitcoin, and why it will be visible to everyone if Satoshi ever spends any of it. From this, we can know with 100% certainty that Satoshi's coins have never moved since his disappearance.

Where was the message?I mean must digital signature must contain a message?