By 5E rules, you don't get up unless you roll a natural 20 (in which case you get 1 hp):
A stable creature doesn't make death saving throws, even though it has 0 hit points, but it does remain unconscious. The creature stops being stable, and must start making death saving throws again, if it takes any damage. A stable creature that isn't healed regains 1 hit point after 1d4 hours.
Also by the rules, "help" doesn't automatically give you 1 hp. It requires a DC 10 medicine check to just get the character stable — although in practice usually DMs allow pouring a healing potion down their throat.
Also in practice, DMs usually ignore downed characters, which makes real-world sense if there are active enemies attacking you. In BG3, I notice that almost all enemies keep pounding on downed party members until they're really dead. I'm not super happy with this — some enemies might act that way (and I can definitely see goblins taking the opportunistic vicious blow!), but most aren't.