Okay, I've weighed this stove. It's total weight is 13.6oz which breaks down as so:

water bottle with cork: 2.6oz (74.6g)
burner with grate: 2.8oz (79.6g)
wire skewers: 0.5oz (12.9g)
chimney: 3.7oz (106.3g)
outer shell: 4.0oz (114.8g)

The weight could be reduced more by either cutting out the bottom of the outer shell can or replacing the outer shell can with a tube of aluminum cut from a heavy-duty disposable aluminum baking pan.

This weight does not include the petroleum jelly cotton balls used to start it. Wild tinders can work just as well.

-Blast