A pileup bucket sums hits that land in the same local cell window from different sources, so the local count can exceed the single-track expectation. The bucket total of 3 plus 1 equals 4 hits exactly for the stated local sum; real pileup adds dead or noisy channels, threshold drift, pileup ambiguity, clustering choices, alignment error, readout inefficiency, and finite-count uncertainty.

A local bucket is an exact finite hit sum. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A bucket can add nearby local hits

One bucket receives 3 hits from one side and 1 from the other.

B=3+1B=3+1
Hit occupancySeen hits are counted against channel capacity.raw=6 countseen=4 countmasked=2 countcapacity=8 countbucket=4 countrawHits=6 countseenHits=4 countmaskedHits=2 countcapacity=8 countoccupancyFraction=1/2 ratiobucketLeft=3 countbucketRight=1 countbucketTotal=4 count

The bucket total is four hits

The exact local bucket total is 4 hits.

B=4B=4
Hit occupancySeen hits are counted against channel capacity.raw=6 countseen=4 countmasked=2 countcapacity=8 countbucket=4 countrawHits=6 countseenHits=4 countmaskedHits=2 countcapacity=8 countoccupancyFraction=1/2 ratiobucketLeft=3 countbucketRight=1 countbucketTotal=4 count