Wild Ass Guess!
I can only imagine that the .1 resistor is in there to drop a tiny bit of voltage to keep the result at the tube pins at or somewhat below the 6.3 Volts specified for the 6DN7 tubes.
As you can see, after rectification and filtering, the DC ends up closer to the peak of the waveform coming out of the secondary of the transformer. When the load (tube filaments) is applied, it no doubt lowers the voltage due to the fact that the secondary Voltage on the transformer drops according to how much load is applied to it and how well it maintains its Voltage under load.
I suspect in this case that even the load was not quite enough to lower the Voltage to the safe level, so a small resistance was needed to lower it a bit further.
This will be a good exercise in the use of Ohm's Law. I am away from home, so I don't have the data readily available, but if you do you can use the heater amperage specification x 2 for the current flowing through the resistor. That multiplied by the .1 value of the resistor will tell you how much Voltage it is dropping and, therefor, about how much the Voltage would probably be too high if it were not in there.
Of course, .1 Ohms doesn't seem like much resistance, but since the amount of Voltage it drops is also a factor of how much current is flowing through it, it can be significant.
I have often had to use fractional resistors like this in old guitar amps to lower the heater supplies, mostly AC ones. See, the amps were designed and built at a time when the typical AC Line Voltage in the US was 117 VAC or less. So, the transformers were specified to operate at that input Voltage, not the 120 - 125 VAC typical today. That increase on the input translates to a corresponding increase on the secondaries of the transformer, so often an older amp was applying heater Voltages that were higher than +10% of nominal. This not only shortened tube life, as you can imagine, but the extra heat also caused the cathodes to emit more which could alter the operating points enough for audible differences.