A weathered leather tome with iron-reinforced corners, its cover embossed with geometric patterns that seem to shift when viewed from different angles. The pages absorb scores like spectral ink, recording every throw in numbers that rearrange themselves. It feels impossibly heavy for its size and whispers pressure to its bearer, making them feel the weight of every calculation. The book cannot be destroyed - only transferred through survival.

Determines which competitors survive each culling by rendering mathematical verdicts on their worthiness. Serves as both challenge and companion - those who bear it feel the weight of every calculation, pushing them to prove they deserve remembrance.