This is just a thinking exercise at this stage, as the real answer in the comments is above, but here are some possible improvements.
Original:
_major=$(curl -s http://www.kernel.org/ -o /tmp/kernel && cat /tmp/kernel | grep -A1 mainline | tail -1 | cut -d ">" -f3 | cut -d "<" -f1)
Use tee instead of cat:
_major=$(curl -s http://www.kernel.org/ | tee /tmp/kernel | grep -A1 mainline | tail -1 | cut -d ">" -f3 | cut -d "<" -f1)
Use sed to minimize the number of tubes and make the command unreadable
_major=$(curl -s http://www.kernel.org/ | tee /tmp/kernel | sed -n '/ainl/,/<\/s/ s|.*>\([0-9\.]*\)</st.*|\1|p')
Cheap Tricks: Shorten URLs
_major=$(curl -s kernel.org | tee /tmp/kernel | sed -n '/ainl/,/<\/s/ s|.*>\([0-9\.]*\)</st.*|\1|p')
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