💥Proof of Hold (PoH)

SolareumChain holders above a discretionary threshold can be considered as part of the Proof of Hold algorithm as a form of auto-staking for consensus. That is, there exists N SRM in rewards as part of Proof of Hold for which of n ∈ N holders which meet the threshold of relevancy k ∈ N where ǫ < k < n, then the union of all threshold relevant holders is the following time-parameterized set, where t ∈ [t0, t1] provides a time-sampling interval with well-ordering of t0 < t1,

$$u(t)=\bigcup_{i=1}^nu_i(t)$$

for which

and furthermore,

Thus, over changing time intervals per block, the Proof of Hold rewarder function will update throughout all intervals where [tl−1, tl ] runs over indices relevant for partitioning T ∈ T , where l ∈ N determines the cardinality of the partition of time intervals.