Plate I
The shell that never opens
Every tokenized share on this chain is a beacon proxy over one Stock contract, and it does not pay dividends the way a token normally would. When Apple pays, the issuer raises a single number — uiMultiplier — from 1.000000000 to 1.000566080.
Your raw ERC-20 balance does not move by one wei. It has never moved. Only balanceOfUI can see the payment, and almost nothing on this chain reads balanceOfUI. The single largest holder of tokenized Apple here is a Uniswap pool that cannot read it at all.
Every venue on this chain is, right now, blind to every dividend already paid.