Processing, and why the time is not yours to adjust
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It is specific to the product AND the jar
Because heat penetration depends on viscosity and on the distance to the center, a process belongs to a formulation in a jar size. Change either and it does not carry over. This is the most important difference between a sauce and a thin product, where a process travels more easily.
Altitude changes it
Water boils cooler the higher you are, so published and filed times assume an altitude and must be adjusted above it. This matters in Idaho more than in most places. Find your altitude once, write the adjusted figure into your process, and stop recalculating per batch.
Start the clock at the right moment
The time runs from when the water returns to a full boil with the jars in, not from when the jars went in. Starting early is the most common way a batch is underprocessed while the record says it was not.
Why over-processing is a real cost here
In a thick sauce, extra time at temperature means more scorch risk, more separation and a duller color. The instinct to add ten minutes for safety buys nothing and takes something, and if the worry is genuine the answer is a verified pH and a filed process rather than improvisation at the canner.
Record it as you go
Time in, time the boil returned, time out, and the altitude-adjusted figure you were working to. Written during the run rather than reconstructed after. For a commercial acidified food that is not bookkeeping, it is the evidence the filed process was followed.
If the process has to change because the recipe did, treat that as the same size of decision as the recipe change itself, because it is.