Cross-modal counts need exact agreement before a shared sample ledger is trusted. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
The first row has equal address counts
The x-ray bins, phase rows, and optical fields are all 4, so the acceptance bit is 1.
Nbin=4,Nrow=4,Nfield=4,A=1
A missing reciprocal bin fails the address audit
The second row has 3 bins but 4 phase rows and 4 optical fields, so the acceptance bit is 0.
(3,4,4)⇒A=0
An extra phase row fails the same audit
The third row has 5 phase rows while bins and fields remain 4. The exact acceptance bit is 0.