Kefir, and what live means on a label
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A mixed culture, not a single organism
Kefir is fermented by a community of bacteria and yeasts rather than a defined pair, which gives it its character and makes it less predictable. The yeasts are the reason it produces gas and a trace of alcohol, and both of those are packaging problems before they are flavor ones.
It keeps fermenting in the container
Refrigeration slows it and does not stop it, so a sealed bottle continues to acidify and to produce gas on a shelf. That is normal for the product and it means the closure is under load, the product gets sourer over its life, and a warm journey can produce real pressure.
Which decides the container
A closure that can relieve pressure, or a container and fill level that leave room for it, is part of making this product safe to handle rather than a refinement. This is one of the few places in the library where the product can damage its own package.
Live is a claim worth being careful with
Live and active cultures means something specific to buyers and implies the organisms are present and viable at the point of eating, which is a claim about the product at the end of its shelf life rather than at the start. Heat treatment after culturing removes it entirely.
No standard of identity means you describe it
Unlike yogurt there is no composition to meet, so the name is descriptive and the general labeling rules apply. The freedom is real and it also removes the external check, so the pH and the composition become numbers you choose and have to hold.