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The trainer shiny value (TSV) is the value that a trainer gets at the start of the game that determines which eggs they have that hatch shiny. When eggs are generated, they get a random value (ESV = egg shiny value). If that value matches the TSV of the hatcher, then that Pokemon hatches shiny. It is exploitable in the sense that you can trade a Pokemon to someone with a matching TSV and it will always hatch shiny.

TSVs are arithmetically determined as (TID ^ SID) >> 4

ESVs are determined as ((PID >> 32) ^ (PID & 0xFFFFFFFF)) >> 4

Both of these are numbers from 0-4096.

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