Yes, but that has to do with the advance funding of unfunded retirement liabilities that were mandated by congress on a timeline that was not realistic to meet. It has relatively little to do with day-to-day operation of the company (which, by the way, is also mandated by congress). In short, it's only "bankrupt" on paper and because of federal retirement stuff.
No offense, but this is rather sloppy thinking on the part of whoever told you this. I would like to correct the false impression you were given for yourself and any other readers. But, let me come back to that. If a guy needs a job, there are worse, more parasitic government jobs he could do.
I would also like to point out I really don't know the state of the USPS finances, so I'm really only addressing the comment abstractly.
Back to saying bankrupt on paper. First, "on paper" is the only way to know if a business is bankrupt. If it is bankrupt on paper, then it really is bankrupt.
Meeting financial obligations with cash infusions you don't have to pay back is a spurious way to avoid saying you're bankrupt. In the case of government, which can seize other people's money (taxes), one must also subtract the free cash infusions to see whether the supported business would fail to meet its obligations.
We can look at another example to illuminate this further. The fedgov is described as having liabilities in the range of $54T. That's trillion with a t. So, how come its not bankrupt? There's no possible way it can pay off all that, even with taxes. Well, actually it is bankrupt. The fedgov and its co-conspirators, the Federal Reserve, have another term they use: default. If the fedgov were to default on debt payments, there would be no way to avoid the term bankrupt. Miss even one payment, and no amount of spin will be accepted. As long as the fedgov--the treasury--can keep the shuffle going, the hyperimportant point is solved: everybody who is owed money gets it on time. Nobody cares about the semantics as long as they receive the money.
Former Federal Reserve chairman Alan Greenspan let the cat out of the bag in a TV interview. The US will never default because it can print money at will, he said in so many words. Understand that the actual activity is a little more complicated; printing money is just a term to denote the more complex process. But, it carries the essential meaning. Basically, the fedgov prints treasury bonds, and the Federal Reserve adds zeros to a ledger in its books, and (shazam!) $50B is created out of thin air. (Don't take my word for it; look it up.) There is a bit more to the process, like a broker who buys the bonds from the treasury as an agent for the Federal Reserve. But, the essential action is the same; money is created out of thin air.
So, as long as money can be created out of thin air by the fedgov and its co-conspirators at the Federal Reserve, they can keep on creating as much money as they want in order to make debt payments and avoid default, or so they claim. Avoiding default by just creating more money is just more spin. The additional money, the newly created money, causes price inflation which is another way of saying "the money ain't worth as much". Thus, when they create $50B out of thin air, it isn't worth $50B. It is only worth $50B minus the price inflation it caused. If the inflation caused by this money creation is 3%, then the $50B created out of thin air is actually worth 3% less which is another waying of saying $1.5B is lost. This mechanism is actually a little more complicated because time is involved, and who gets the new money and how long they hang onto it. But, those are the essential points.
The new money causing inflation that reduces the value of the money already existing and being worth less itself is the whole reason the Chinese balked a while back when Bernanke cranked up QEII (Quantitative Easing Two). Quantitative easing is just code for
create lots of money out of thin air. In this case, to the tune of about $700B across several months. $700
billion. The Chinese, who hold large amounts of treasury debt, knew that creating new money out of thin air reduces the value of both the money that already exists and its own value. Thus, the Chinese knew that the money they would eventually be paid on the US debt they held would be worth less. Which is another way of saying, the money they get as payment on the debt they hold won't be as valuable as the money they loaned when they bought the debt. Thus, they (and everybody else who holds treasury debt) are being paid off today with dollars that are worth less than the dollars they used to buy the debt.
So, if you are paid off with money that is worth less than the money you loaned, you're not really receiving your full payment. Which is really no different than me owing you $300 but only being able to pay you $250 on the day it is due.
People instinctively know they are losing money if price inflation is higher than the return on their investment. It is only when complexities like time, inflation, etc., cloud the picture that the fedgov can get away with convincing people it isn't defaulting on its debt by paying off in dollars that are worth less. The test is to take away the ability to get money created out of thin air and make debt payments only from tax money that comes in. The fedgov is bankrupt, and has been for some time, playing a shuffling game, trading newly created money worth less to pay off its obligations.