I've years of pH experience measuring everything from Deionized water to hazardous wastes, and pH can be a very tricky test for something that appears to be so simple. Something as simple as stirring can have great affect on some types of samples.
I've come to the conclusion that the whole number in a pH reading is pretty reliable. The first decimal can be accurate, but it is sometimes not very precise depending on the sample. The second digit has much less accuracy than the first, but it can be measured well if your setup is good and you have experience making those types of readings. The third digit in a pH reading, except in some special setups, can pretty much be used as a random number generator.
Don't get all uptight about a difference of 0.03 pH units!