An ad from some libertarian-ish group.
How is that compelling?
This topic has been thoroughly debunked also, it's just absurd people are still latching on it.
From
Snopes.com:
A number of self-proclaimed experts immediately seized the opportunity to pronounce the certificate a forgery (even though none of them had actually seen the original, just a scanned image of it), picking on such specious details as minor variations from other Hawaii-issued certificates and the lack of an embossed seal and signature. (Some forgery claimants even maintained that the certificate was actually an altered version of one issued to Barack Obama's half-sister, Maya.) Aside from the inherent absurdity of such claims (i.e., that a major party presidential nominee would risk his entire candidacy on a fraud that could be uncovered simply by a check of state health records), the supposedly incriminating details don't pan out: the certificate is consistent with others issued in the same time and place, and the embossed seal and signature don't show through very well on the scanned front image made available on the Internet because they were applied to the back of the original document, not the front. Those who have actually touched and examined the original certificate have verified and documented that it bears all the elements of a valid certificate of live birth.
A birth announcement for Barack Obama Jr. was also published in the Honolulu Advertiser on 13 August 1961, reporting a 4 August 1961 birth date for the child of Mr. and Mrs. Barack Obama:

In August 2008, Philadelphia attorney Philip Berg included claims of a forged certificate (among other rumors) as the basis for a suit in U.S. District Court challenging Barack Obama's eligibility for the presidency on the grounds that Obama was actually born in Kenya (not Hawaii) and/or subsequently gave up his U.S. citizenship and thus does not qualify as a native-born citizen of the U.S. In October 2008 a federal judge dismissed the complaint:
QuoteIn a 34-page memorandum and opinion, the judge said Berg's allegations of harm were "too vague and too attenuated" to confer standing on him or any other voters.
Surrick ruled that Berg's attempts to use certain laws to gain standing to pursue his claim that Obama was not a natural-born citizen were "frivolous and not worthy of discussion."
The judge also said the harm Berg alleged did "not constitute an injury in fact" and Berg's arguments to the contrary "ventured into the unreasonable."
(Contrary to various e-mails, Barack Obama has not "been ordered to produce his birth certificate by December 1"; that is simply the response date set for one of the several related filings still working its way through the U.S. court system.)
Also in October 2008, Hawaiian officials reported that they had personally verified the existence of Barack Obama's original birth certificate.
State officials say there's no doubt Barack Obama was born in Hawaii.
Sources:
Hinkelman, Michael. "Judge Rejects Montco Lawyer's Bid to Have Obama Removed from Ballot."
Philadelphia Daily News. 25 October 2008.
Nakaso, Dan. "Obama's Certificate of Birth OK, State Says."
Honolulu Advertiser. 1 November 2008.
Associated Press. "State Department of Health Declares Obama Birth Certificate Legal."
Honolulu Star-Bulletin. 31 October 2008.