Correct citation: Poling JS, Frye RE, Shoffner J, Zimmerman AW. Developmental regression and mitochondrial dysfunction in a child with autism. J Child Neurol. 2006 Feb;21(2):170-2.
The scandalous Poling paper:
With "Developmental Regression and Mitochondrial Dysfunction in a Child with Autism", Dr. Jon Poling takes his place with Dr. Andrew Wakefield, Dr. Mark Geier and Laura Hewitson, Ph.D. in the ranks of researchers who have concealed relevant legal and financial interests in studies purporting to confirm a causal relationship between vaccines and autism.
In short: Dr. Poling behaved in an appalling manner. There is no question that Hannah Poling has a mitochondrial disorder; in such cases neurological symptoms often develop after 12 months and before 24 months. The "autistic like" symptoms demonstrated by Hannah Poling were part of a global encephalopathy caused by a mitochondrial enzyme deficit.
Does this case or this paper "demonstrate that vaccines can cause autism"? No.