Sadly, and unluckily enough, you probably consulted the two worst - for the novice - sources of info extant. You deserve better - Wikipedia is what it is - ANYONE can post anything they want, fact or fiction, but the SA site could be much improved.

The first Krags produced were the 1892 rifles - they then made a run of carbines, to be known as the Model 1896, since enough changes had been made to justify a new designation. Just two (2) Model 1892 carbines were made - never buy one; both are in museums. They have full-length stocks.

The first production run of M1896 carbines starts around 24600 - they can be marked three (3) ways: "1895", "1896" (the scarcest), and "Model 1896", the most common. Yours sounds completely proper as to date & number.

If in nice condition and unaltered, it has signifcant value to a collector.

Several carbines are known with the crude "P numbers" you describe, but I cannot recall where the matter was discussed. I do not believe any answer was given, but the marking itself is not unique to yours.

Hope that helps.