Who are those entitled to the financial differences disbursed by the state for past salary shortfalls, and how are these to be distributed among them?

What the state disburses for someone who dies during their work is distributed according to what the state decides, because it is a grant from the state and not an inheritance. If it was disbursed to the beneficiaries in an amount less than what they were entitled to, and then the state rectified the matter and disbursed the difference for all past years, then it is to be distributed equally among those who were entitled, and their share goes to their heirs after them. The method of calculation is to ascertain the difference for each year, then divide it among those who were entitled in that year; whoever was alive takes their share, and whoever died after that, their share goes to their heirs.