Shred pear; place shredded pear pulp on several layers of cheesecloth. Gather edges of cheesecloth together, and squeeze over a glass measuring cup to yield 1/3 cup fresh pear juice. Discard solids.
Combine pear juice, vodka, pomegranate juice, lime juice, and agave syrup in a martini shaker with ice; shake. Strain about 3 tablespoons of the vodka mixture into each of 2 martini glasses. Top each serving with 1 1/2 tablespoons cider.
