Hello Cee-Jay,
The batteryuniversity link is not accurate for all chemistries that fall under the umbrella of the term "lithium-ion." The instructions can be accurate for many cells out there, but they were almost certainly written specific to modern LiCoO2 chemistry cells.
The following link points out a bigger picture, of the many possible cathode materials that can be used in a "li-ion" cell. Please see paragraph 8.
Understanding lithium-ion
LiCo, LiMn, LiFePO4, LiPo, are ALL li-ion. Some are charged to 3.6V, some to 3.8V, some to 4.1V, some to 4.2V, some to 4.3V. Some have a maximum recommended charge rate of 0.3C, some have a maximum charge rate of 5C, everything in-between and some even higher. The batteryuniversity link for li-ion charging is relevant to only a very specific group of li-ion cells.
Here's a li-ion cell with a maximum charge rate of about 2C
Rechargeable Batteries & Battery Chargers - 3.6V 1300mAh LiFePO4 Rechargeable Battery
Here's a li-ion cell with a maximum charge rate of about 5C
http://www.molicel.com/ca/pdf/IMR18650E.pdf
How about a 4.35V charging voltage?
Li-ion 18650 Cells (up to 3000mAh)
(see the Samsung 3000mAH cell, see same link again for Sony high rate cell listed further down that should only be charged to 4.1V)
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A PWM circuit does not render any data useless about the cell behind the circuit. It is very easy to calculate the effective load on the cell. Knowing whether the cell can safely deliver the load is important.
I can't imagine why anyone would have listed a 510 as being a LiPo chemistry cell. Lithium Polymer (which still generally uses a Lithium Cobalt or Lithium Manganese chemistry cathode and is also a "li-ion" cell) is not really ideal for building cylindrical cell shapes. LiPo Cells are generally going to be pouch or prismatic shapes. I think it is safe to assume that any listing of a 510 that says "LiPo" is likely false. (call it bad translation, or a lack of understanding on the sellers part).
We know that a 510 is a li-ion cell, this is not in question. The question is "WHICH li-ion chemistry is used?" I don't know the answer to this but have tried searching for the answer to this. We can not know what a safe charging rate for the cell really is until we have a data sheet for the cell. If we knew the cathode material, we could look at other similar cell types and at least make some educated guesses.
I would personally not buy or use any ecig without knowing the cell chemistry of the device.
Eric