{
  "retained_data": [
    "source path and labels",
    "measurement unit/grid h",
    "held anchor",
    "source-authorized operation or diagnostic status",
    "intermediate grid requirement"
  ],
  "one_key_domain": "h*q*Z for reduced p/q",
  "word_domain": "h*lcm(prefix denominators)*Z",
  "two_order_effects": {
    "anchors": "constant placement displacement",
    "grid": "different admissible intermediate domains"
  },
  "positive_result": "exact rational images preserve affine shape",
  "limit": "whole-family integer closure does not follow from integral endpoints"
}