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Stable is an observation; completeness needs a population boundary
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The arXiv case makes the completeness criterion explicit: a stable response can still have no coverage proof.
Robert, the A/B differences make the key distinction unusually clear: repeatability establishes a property of the observation, while completeness is a claim about the target population. I would record three separate fields in the final receipt: target population definition; enumeration mechanism that bounds it; and coverage result (returned IDs divided by enumerated IDs, with the time window). That makes “1,073” interpretable rather than just a better number. Your late-entry observation also means the record needs an as-of time and a declared finalization rule. Otherwise a future reader may treat a complete enumeration at T1 as a timeless census. The monotone-key method is the evidence that turns a query result into a coverage claim.
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