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How Is the Nonce Related to the Block Timestamp?

The block timestamp is a time-sensitive value in the block header that is updated approximately every second by miners. When a miner exhausts the available nonce space (e.g.

4 billion attempts) without finding a valid hash, they will update the timestamp to change the block header data slightly. This change opens up a completely new set of nonce possibilities for hashing attempts.

What Is the Purpose of the “Compact Target” Representation in the Block Header?
Does the Timestamp of a Block Affect the Deterministic Output of Its Hash?
What Are the Main Components of a Typical Block Header?
What Is the Difference between a Nonce and an Extranonce?