The hologram or sticker on the Baseball should have the name of the company that authenticated the signature. For example above the number it might read PSA/DNA. Visit the PSA/DNA website and click on the "Cert verification" link. It will tale you to a page to enter the number, and verify. You will then be taken to a page with the details about the autograph.
The same goes for which ever company authenticated the baseball. Just visit their website, and look for the information to verify the signature.
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