As alluded to by boo1, this thread callout appears fundamentally flawed on multiple fronts.
"A' in a thread callout usually indicates an external thread (with "B" designating internal), but is used in conjunction with a tolerance "Class" number:
"1.125-12 UNJF-3A"
Your callout doesn't include a tolerance class, which you must know to determine the pitch diameter limit dimensions.
The "J" thread form is a modified thread form (from the "UN" and "UNR" thread form defined in ASME B1.1) with a controlled, tangent root radius on the external thread, and an increased minor diameter on external and internal threads. It is usually specified in fatigue critical applications.
The current edition of FED-STD-H28/4 (
which covers UNJ threads, refers you to MIL-S-8879 (
I can't lay my hands on an old copy of H28, but I don't think it would be substantially different than MIL-S-8879.
For this thread diameter, MIL-S-8879, AS 8879, ASME B1.15 and ISO 3161 all tabulate dimensions for the following "graded" diameter/pitch combinations:
UNJC: 1.125-7
UNJF: 1.125-12
UNJEF: 1.125-18
and the following "constant", or "uniform", diameter/pitch combinations:
UNJ: 1.125-8
UNJ: 1.125-16
MIL-S-8879, AS8879, ISO 3161 and ASME B1.15 all describe/define the "J" thread form. Note that MIL-S-8879, AS 8879 and ISO 3161 only cover tolerance Class "3" ("-3A" and "-3B"

threads. ASME B1.15 includes dimensions for Class "2" threads ("-2A" and "-2B"

threads in addition to Class "3". The internal and external pitch diameters of a given thread tolerance class are (currently) identical to the dimensions in the "mother" ASME B1.1 thread document.
If this is truly a 1.125-13 diameter/pitch combination (which I tend to doubt) it should be designated as a "UNJS" thread ("S" for Special), the dimensions should be calculated per the relevant specification (See Table VIII for MIL-S-8879) and the calculated major, pitch and minor diameter limits (in addition to the root radius for external threads) should be tabulated on the drawing.
boo1: Darned if I can find any UNJ data, or info for a "13" constant/uniform thread series, in my 26th ed. Machinery's. Am I overlooking it, or is this another case of useful information being stripped from Machinery's in a new edition? My 25th edition is at home...