Perhaps the answer lies in the fact that the US has no national ID. IDs are issued at the state level and the details vary from state to state. This helps make it easier to forge identification because locals will not be familiar with the standards of all fifty states. So, due to the lack of a national ID, we use the federal social security number in a manner it was never intended to try to fill in this hole in our system.
The political organization of the US is a little bit like the EU rather than a country per se. Each state is a little bit like a separate country in some ways. There are overarching federal laws, but a lot varies from state to state, just like a lot varies from country to country in the EU.
"What can you do?" With Duke Energy, the electric provider in my last apartment complex, you would have absolutely no problem registering for electric in someone else's name and having them on the hook for it if you knew their SSN.
You can do stuff like apply for lines of credit using a SSN. If you use my name and my number its presumed to be me applying for the credit.
That's interesting... in Spain does getting credit require an in-person appointment? Because maybe that's a simple answer to 2/3 of the identity theft in the U.S.
There are some online banks without offices, but typically they are subsidiaries of physical banks, or they have deals with them, so they will only give you credit if they have seen you at the physical bank first.
You can use an SSN to map to an existing credit file. From there, you establish accounts with places with poor verification practices and use them to move up the food chain.
Some states historically were very week in verification for state ID -- best case you have an audit able link between a birth certificate, lease and/or parental affidavit. Few people can be linked to a biometric. (Other than headshot photo)
Could someone from the US care to explain why publication of these numbers is such a big deal, and why it can lead to identity theft (an idea that I see often on the internet)?
In Spain we have a unique ID number and it is pretty common to see them published all over the place. The government and administrations routinely publish lists of people with their name and ID number, for example if you have applied for a public sector job, a government grant, etc. your ID number will be published in a list that everyone can see and even find on Google. We don't see it as a problem because knowing someone's ID number doesn't mean you can steal their identity - to do that they would need to forge the actual ID card, for in-person procedures, or steal passwords or keys, for online stuff. Knowing the number alone doesn't give you access to anything. In fact, it is publicly known that the current king has the ID number 15 and the former king 10 (number 1 corresponded to dictator Franco who created the system), but it's not that easy to go around impersonating the king :)
What can you do if you know a person's social security number in the US?