The silnylon net tent "serenity" weighs in at 7.5 ounces. I purchased one from a forum member here and will know more in a few days. Not as warm, but for summer/buggy conditions, this will be as light as my borah bivy … well .6 oz. heavier, as my Borah weighs 6.9 in the silnylon sack.
EDIT to add Pyranet 1 specs per BearpawWD.com:
Size
Regular Length
90" x 30"
Tent Peak Height: 44"
Sleeps 6'2" person
Packed: 12" x 4" dia.
Extended Length
96" x 30"
Sleeps 6'6" person
Tent Peak Height: 44"
Packed: 12" x 4" dia.
Weight (Reg length)
30D sil floor: 10 oz.
70D sil floor: 14 oz.
.74oz Cuben floor 8 oz.
1.25 oz Cuben floor 10 oz.
Materials
30D floor 1.35 oz (std)
silicone-coated nylon
70D floor 2.3 oz (opt)
silicone-coated nylon
Cuben Fiber floor
0.74 oz (opt)
1.25 oz (opt)
Netting: black no-see-um
1.1 oz/sq yd standard
.8 oz/sq yd optional
Included
Tent canopy/floor
Guidelines/linelocs
Stuff sack