Two numbers, both required
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The definition
Low-acid foods means any foods, other than alcoholic beverages, with a finished equilibrium pH greater than 4.6 and a water activity greater than 0.85. Two tests joined by an and, not an or.
Finished equilibrium pH
Not the pH of the brine, the stock or one ingredient, and not the pH during production. The figure after the product has equilibrated, which for a chunky product with solids in liquid can take time to reach.
Water activity above 0.85
Which is the second route out, and it is why a dried or a very high sugar or salt product can sit outside the definition even at a high pH. For a soup or a broth it is not available; they are almost all water.
The tomato carve-out
Tomatoes and tomato products having a finished equilibrium pH less than 4.7 are not classed as low-acid foods. Note the figure is 4.7 there rather than 4.6, which is a specific allowance for a specific commodity.
And alcoholic beverages are excluded by the definition
Which is a jurisdictional carve-out rather than a safety one, and it matters only if you are making something that is both.
So the measurement is the gateway
A pH meter, properly calibrated, on the finished equilibrated product, and a water activity measurement. Those two numbers decide which regime you are in, and guessing either is how people end up in the wrong one.
Which is why 4.6 is the number everyone in food knows
It is the line Clostridium botulinum will not grow below, and the whole architecture of both part 113 and part 114 is built around it. The written site on Pickles is about getting under it deliberately.