{
 "note": "2D (stacked-fraction) formula regions, every one confirmed by rendering the page and reading it. bbox is the fraction bar itself; numerator and denominator sit above and below it.",
 "verified_on": "2026-08-01",
 "method": "residual-ink fraction_bar_candidate, then visual inspection of all 23 candidates",
 "regions": [
  {
   "physical_page": 43,
   "bar_bbox": [
    133.44,
    308.16,
    222.72,
    308.16
   ]
  },
  {
   "physical_page": 92,
   "bar_bbox": [
    430.08,
    603.36,
    465.6,
    603.36
   ]
  },
  {
   "physical_page": 92,
   "bar_bbox": [
    362.88,
    704.64,
    386.4,
    704.64
   ]
  },
  {
   "physical_page": 92,
   "bar_bbox": [
    400.32,
    704.64,
    422.88,
    704.64
   ]
  },
  {
   "physical_page": 92,
   "bar_bbox": [
    456.96,
    704.64,
    480.0,
    704.64
   ]
  },
  {
   "physical_page": 92,
   "bar_bbox": [
    505.44,
    704.64,
    522.72,
    704.64
   ]
  },
  {
   "physical_page": 202,
   "bar_bbox": [
    371.52,
    151.68,
    489.6,
    151.68
   ]
  },
  {
   "physical_page": 325,
   "bar_bbox": [
    445.92,
    562.08,
    544.32,
    562.56
   ]
  },
  {
   "physical_page": 325,
   "bar_bbox": [
    439.68,
    623.52,
    560.16,
    623.52
   ]
  },
  {
   "physical_page": 349,
   "bar_bbox": [
    384.48,
    336.0,
    491.52,
    336.48
   ]
  },
  {
   "physical_page": 1042,
   "bar_bbox": [
    97.92,
    492.0,
    286.56,
    492.0
   ]
  },
  {
   "physical_page": 1043,
   "bar_bbox": [
    94.56,
    536.16,
    140.16,
    536.16
   ]
  },
  {
   "physical_page": 1043,
   "bar_bbox": [
    145.92,
    536.16,
    244.8,
    536.16
   ]
  },
  {
   "physical_page": 1132,
   "bar_bbox": [
    63.36,
    498.72,
    239.52,
    498.72
   ]
  },
  {
   "physical_page": 1402,
   "bar_bbox": [
    120.96,
    711.84,
    201.6,
    711.84
   ]
  },
  {
   "physical_page": 1402,
   "bar_bbox": [
    180.48,
    770.4,
    205.92,
    770.4
   ]
  },
  {
   "physical_page": 147,
   "bar_bbox": [
    307.9,
    672.0,
    428.5,
    672.0
   ],
   "source_prints_no_bar": true,
   "note": "ADENOSIN infusion-rate formula. The source page prints three plain lines with no fraction bar at all, so no geometric detector can find it — confirmed by rendering the region and reading it. Left in prose it reads as a multiplication chain. Quarantined on the strength of the reading, and flagged for human confirmation of the intended division."
  }
 ],
 "rejected": [
  {
   "physical_page": 4,
   "reason": "decorative underlines on the Ministry decision page"
  },
  {
   "physical_page": 63,
   "reason": "ruled box around a treatment-protocol paragraph"
  },
  {
   "physical_page": 845,
   "reason": "table header cell border"
  },
  {
   "physical_page": 878,
   "reason": "table header cell border"
  },
  {
   "physical_page": 1667,
   "reason": "rule above the colophon on the last page"
  }
 ],
 "recall_limit": "The fraction-bar signal cannot find a fraction the source never typeset. ADENOSIN (physical page 147) is one confirmed case, found only because a prose-leak gate matched its text. The true number of bar-less formulas in the book is UNMEASURED."
}