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Apply a stateless producer ID transformation for mirrored records using a bit-field layout that encodes the source cluster identity into the negative PID space, making the mapping idempotent and safe for chained mirroring (A -> B -> C). Negative PIDs pass through unchanged (idempotency). We divide the 64 bits into three fields: bit 63 (sign bit), bits 62-31 (region selector), bits 30-0 (producer identity). This means that the negative PID space is partitioned into 4.29 billion (2^32) fixed-capacity regions, one for each possible source cluster, and we can have 2.15 billions (2^31) PIDs for each region. For example, this is how a PID 5 from two different source clusters would be encoded:

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