I am not a secretary...right?

I'm not in your field but I want to reassure you there are many women who have similar experiences, and it is A Thing. For me, the one that really stood out like dogs balls was being asked to minute meetings when not even a little appropriate for me to do so. You may be able to find some 'response' resources at the Ada Initiative site or the geek feminism wiki or even past askmes. I've borrowed the phrase 'loldude, I'm not your mom' from ask.

The problem might not (just) be sexism but more the fact that J and P are 'immediately above' you. Regardless of how many managers are further up the chain, if you are recognised within the hierarchy as being junior to them they may well assume that it's your responsibility to take on the majority of the admin. If they do assume this they are wrong - it's generally the role of more senior people to ensure the process is on track. Can you check job descriptions with HR? In any case you need to talk to them. Call a meeting between the three of you to review the ticketing and documentation system process - don't talk about 'you aren't doing this' but more 'this isn't getting done'. Once you have a shared understanding of what needs to happen you can look at why the current system isn't working and propose solutions.

Next ime you and one of these men are working together on a trouble ticket, take the initiative. Proactively hand one of them the pen and notepad and say "You should write down the serial number." When they ask "Um, can you do it?" just say "I did it the last time, remember? This time it's your turn." If they argue with you, smile and write it down, but then go to your manager and/or HR later and tell them how your coworkers are not only treating you like a secretary, but being unprofessional in front of the client.

If you're in the military, this is an entirely different kettle of government-issue fish. If Jasper or Pendleton is your rater (or whatever your branch calls the direct lineal supervisor of an enlisted member), then what you've described is not inappropriate: dropping the crap jobs (including "secretarial" work) on subordinates is why God made subordinates. However, you do need to work on their ability to prioritize you, and if necessary, you need to make them give you the ability to tell people, "I can't work on your thing right now, because Jasper and/or Pendleton has made this thing I'm doing my top priority. Talk to Jasper and/or Pendleton." (This is Chain of Command 101, but people need to be reminded of it every now and then, especially when they're talking to support staff.) You should also put together some sort of ticket tracker if one doesn't exist, and sell it to Jasper and Pendleton as a value-add for them, since they won't have to track you down and ask whether job #401743 was done back in April. If neither Jasper nor Pendleton is your rater, but each is a higher rank, well, same kind of thing, but you can talk to your rater (whom I presume is also their rater). This sort of thing is why the military has ranks and hierarchies, after all, and why people with higher ranks make more money than people with lower ranks. Present your rater with reasons why Jasper and Pendleton's treatment of you is a problem not just for you but for your unit (e.g., "I am not being developed in a way that benefits this office" or "Work is not getting done because I am too busy tracking down tickets in an inefficient manner."). Be very, very careful about suggesting that their treatment of you is because you're a woman, because EO complaints are pains in everyone's ass, and if it can be written off as "E3 DisreputableDog is being treated like an E3, not being mistreated because of her sex," then you have acquired a rep as a whiner. There are plenty of other tricks you can use, many of which shouldn't be made public, so MeMail me if you want some more detailed assistance, or if you just want to vent outside your chain of command.

Can you record the ticket information in a computer program that others can access so that they can continue to work on stuff when you're not there? so they can stop calling you and bugging you all the time? Yea, sure, you're taking some extra responsibility but that's not entirely a bad thing. Plus you can make them responsible for entering their tickets, too. If they mess up a couple of times they'll stop berating you. In a tech field making a tech solution would seem normal and not out of place, I would imagine. Good luck.

Does sound like most of this can be solved with helpdesk/ticket software. I've done and still do similar work, and I can't imagine having to keep track of everything without a shared ticketing system to log it all in. http://www.bestpractical.com/rt/ might suit your needs, though there are many others. Create a ticket, enter the details, update it as you go, and everyone can see the info and who is working on what. (I feel weird even suggesting this just because I can't imagine you don't have something like this in place already, but from what you say you're all pen-and-paper??)

The only thing I see glaring here is that Jasper and Pendleton share information over drinks and cigarettes, which leaves you out of the loop. As a former smoker (now secret smoker) I can tell you this a Big Deal in terms of office politics. They share naughty times together you do not. They are comrades. You can't police what they do with their private time. You can not join them in their comraderies (addictions.) So what do you do?? Whatever advice you take from this thread from other commenters, make sure your solutions work with, and not against, Jasper and Pendleton's comaraderie with each other. That's my two cents here.

Sounds to me (and yep, retired military) more of a seniority thing than a gender thing. I've done plenty of the "secretarial" work, and I'm a guy. Just happens that when you're the junior guy, you get the detail work. At the pentagon, former Commanding Officers are making the coffee*, 'cause everyone else has a star on. *probably not literally, since civilian employees, but you know what I mean. What you could do though, is casually introduce the idea that an inverted pyramid is probably not the best organization for the group. Next time they seem annoyed that you didn't write something down, maybe suggest hiring some more indians because two chiefs seem to need more than one. "Or maybe you guys could just help me out with some of this stuff sometimes."

When I worked at a company where the smokers had daily impromptu meetings outside, I bought a few packs of chocolate cigarettes and joined them. Was very amusing when someone wanted to bum a cigarette, especially when they were drunk at a party and tried to light it.