A router hop decrements TTL and therefore changes the header bytes.
One hop subtracts one
At this toy router hop, TTL drops from 64 to 63.
After header
The after header has TTL 63. The helper recomputes the whole after header from the before header.
after TTL=63
Checksum changes too
Changing TTL changes a header byte, so the header checksum field also changes from 0xb1e6 to 0xb2e6.
0xb1e6→0xb2e6
Summary
One hop changes TTL by one and produces a new valid header checksum.
after checksum=0xb2e6