At the beginning the written instructions (opened and read on May 9th) Artie reads aloud that they are to sail to Vladivostok aboard the S.S. Thomas Jefferson the next night (May 10th). Later, West tells Kuprin that they will sail on the S.S. Alexander Hamilton. Note that West also indicates the S.S. Alexander is sailing a week later. Obviously, the plans have been changed.
Around the time Rimsky is delivered to West and Gordon on the train, a sniper is scoping out the train from a platform, looking down into the train through the windows. Since the windows in the train car are below head level, there is no way the sniper could have looked DOWN from the platform into the train car and seen West's head.
When Jim wakes up being shaven by the Russian woman, the shot switches over to show 3 men with long beards. The one on the far left shows the top of his fake beard coming apart from his right cheek.
West opens a safe aboard the train in the opening scene. The backside of the safe door and the frame are perfectly smooth. There is no latch and catch mechanism of any kind that could have locked it. In addition, the combination appears to have 4 numbers in the combination, but the way West dialed the combination, there is no way that the combination lock would have worked. The combination would have required 4 turns to the left to begin with to align the first tumbler, 3 turns to the right to align the second, 2 turns back to the left to align the third, and one turn to the right for the fourth.
When James and Artemus realize they are not in Russia but still in California Anastasia says "Well I told you it would be difficult to get to Vladivostok from here" but she never did.
At the end when James and Artemus are telling their dates about the Adventure Artemus talks about James' expression when he woke up in the barbershop but Artemus wasn't there to see it. He even asks Rimsky's(Artemus in disguise)whereabouts.
As Jim and Artemus ride out of the barn toward the old prospector, the sky has two jet trails in it.
Near the end Count Sazanov tells someone that, "he has a true Russian soul: a riddle, inside a mystery, wrapped in an enigma." This famous expression was coined by Winston Churchill when he was talking about the Soviet Union during WWII, about 70 years after this show's time.
Artemus asks the executioner about the game of Russian Roulette. The game, which does not actually have a Russian origins, was created in fiction starting the in late 1930s.
When Kuprin and the two guards sneak up on West and Gordon as they are listening at the door to Count Sazanov's office, as the near guard walks in front of the camera, its shadow is clearly visible on the guard.
After West and Gordon escape from the Count's compound with Anastasia as a 'hostage,' and they meet up with the old prospector, Anastasia produces a Derringer from her waistband. Question: Why couldn't she have pulled it out while she was on the horse sitting behind West? She would have been in a much better position to gain the upper hand.
After Rimsky is kissed by Ana, Sazanov slaps Gordon/Rimsky across the face and asks where his $5M is at. Gordon fumbled with "Your $5M what?" Sazanov replies," I took great pains to free you from prison, cousin..." at which point he suddenly loses his Russian accent. He doesn't gain it back until halfway through the next sentence.
It is clear Count Sazanov uses the term "guest" sarcastically from the beginning and considering the fact that almost immediately after giving Rimsky a hug he slaps him and demands to know where his money is that his use of "prisoners" is completely accurate and appropriate.
When the carriage arrives with no passengers Count Sazanov screams about the prisoners, but it is clear from later events that he did not consider either to be prisoners at the time.