{"query": "Calories from macronutrients, and a BMI", "count": 20, "results": [{"id": "card_works_nutrition", "title": "Calories from macronutrients, and a BMI", "shelf": "the-works", "surface": "secular", "snippet": "Carbohydrate and protein carry 4 kcal per gram; a body-mass index of 22.9 sits in the normal range. The bookkeeping of the body.  Worked & sealed by the engine — 10 g carb + 10 g protein = 80 kcal · B", "authority_tier": "verified", "source": "The Works — worked & sealed", "generated": false}, {"id": "card_theory_law_of_the_minimum", "title": "Liebig's law of the minimum (what actually limits growth)", "shelf": "theories", "surface": "secular", "snippet": "Liebig's law of the minimum (what actually limits growth) — an engine domain that can touch it: soil_science. Calibration: seals — nutrient ratios and deficiency thresholds compute. Growth is limited ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_domchk_nutrition_claimed_bmi_class", "title": "Nutrition: bmi class", "shelf": "nutrition", "surface": "secular", "snippet": "A worked check in nutrition: bmi class.\n\nGIVEN\n  alcohol_g = 0\n  calories_claimed = 500\n  carb_g = 50\n  fat_g = 20\n  height_m = 1.75\n  nutrient = vitamin_c\n  protein_g = 30\n  tolerance_kcal = 5\n  weig", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "generated": false}, {"id": "card_v_d9f8984242ef", "title": "10 g carb + 10 g protein = 80 kcal · BMI = 70/1.75² = 22.9 → normal", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: HOLDS.\n• nutrition.macronutrient_calories: 80 kcal from 10.0g C + 10.0g P + 0.0g F matches claim 80 (diff 0.0 ≤ 5.0)\n• nutrition.bmi_classification: BMI = 70.0kg / 1.75m² = 22.9 → normal (mat", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_e41a588db10e", "title": "at 7% interest your money doubles in 10 years · at 4% interest it doubles in 18 ", "shelf": "economics", "surface": "secular", "snippet": "Verdict: BROKEN.\n• economics.rule_of_72: 72 / 7.0% = 10.29 years (matches claim)\n• economics.rule_of_72: 72 / 4.0% = 18.00 years (matches claim)\n• economics.rule_of_72: 72 / 9.0% = 8.00 years (matches", "authority_tier": "engine", "source": "Verified by the engine — economics", "generated": false}, {"id": "card_v_399936476cd2", "title": "Calories 140, Total Fat 2g, Total Carbohydrate 25g, Protein 20g", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: BROKEN.\n• nutrition.macronutrient_calories: actual 198 kcal != claimed 140 kcal (diff 58.0 > tol 5.0)\nSealed and independently re-checkable: https://narrowhighway.org/s/469e263bd74e0be7e76cb3", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_2341cefced46", "title": "Calories 240 Total Fat 14g Saturated Fat 4g Sodium 250mg Total Carbohydrate 17g ", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: BROKEN.\n• nutrition.macronutrient_calories: actual 218 kcal != claimed 240 kcal (diff 22.0 > tol 5.0)\nSealed and independently re-checkable: https://narrowhighway.org/s/3f2c688b677a9392e99859", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_877a66baa446", "title": "Calories 150, Total Fat 8g, Total Carbohydrate 12g, Protein 11g", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: BROKEN.\n• nutrition.macronutrient_calories: actual 164 kcal != claimed 150 kcal (diff 14.0 > tol 5.0)\nSealed and independently re-checkable: https://narrowhighway.com/s/0e51e077e54f8b71e632cf", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_2c897cafcc0c", "title": "$18,720.00 + $9,360.00 = $28,080.00 · Calories 200. Total Fat 5g. Carbohydrate 3", "shelf": "mathematics", "surface": "secular", "snippet": "Verdict: BROKEN.\n• 18720.00+9360.00 = 28080.0; both sides reduce to 28080.0000000000\n• nutrition.macronutrient_calories: actual 225 kcal != claimed 200 kcal (diff 25.0 > tol 5.0)\nSealed and independen", "authority_tier": "engine", "source": "Verified by the engine — mathematics", "generated": false}, {"id": "card_v_31cd7e78e591", "title": "Calories 250, Total Fat 12g (18% DV), Sodium 470mg (20% DV), Total Carbohydrate ", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: HOLDS.\n• nutrition.macronutrient_calories: 252 kcal from 31.0g C + 5.0g P + 12.0g F matches claim 250 (diff 2.0 ≤ 5.0)\nSealed and independently re-checkable: https://narrowhighway.org/s/5a24b", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_6cc5b58b5c48", "title": "Calories 250. Total Fat 12g (18% DV). Sodium 470mg (20% DV). Total Carbohydrate ", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: HOLDS.\n• nutrition.macronutrient_calories: 252 kcal from 31.0g C + 5.0g P + 12.0g F matches claim 250 (diff 2.0 ≤ 5.0)\nSealed and independently re-checkable: https://narrowhighway.org/s/18e99", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_7dfc76896de6", "title": "Calories 150 Total Fat 8g 12% Sodium 120mg 5% Total Carbohydrate 12g 4% Protein ", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: HOLDS.\n• nutrition.macronutrient_calories: 152 kcal from 12.0g C + 8.0g P + 8.0g F matches claim 150 (diff 2.0 ≤ 5.0)\nSealed and independently re-checkable: https://narrowhighway.com/s/bc79f9", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_d331236e0ce0", "title": "Calories 250, Total Fat 8g (12% DV), Saturated Fat 3g (15% DV), Sodium 220mg (10", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: BROKEN.\n• nutrition.macronutrient_calories: actual 240 kcal != claimed 250 kcal (diff 10.0 > tol 5.0)\nSealed and independently re-checkable: https://narrowhighway.org/s/ecab847e81702b882a558c", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_321af4f8f19f", "title": "Calories 350, Total Fat 10g, Total Carbohydrate 40g, Protein 20g", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: BROKEN.\n• nutrition.macronutrient_calories: actual 330 kcal != claimed 350 kcal (diff 20.0 > tol 5.0)\nSealed and independently re-checkable: https://narrowhighway.com/s/9dcdb1ff3da4566bab145c", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_8027964e3a0f", "title": "Calories 140 Total Fat 2g Total Carbohydrate 25g Protein 20g", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: BROKEN.\n• nutrition.macronutrient_calories: actual 198 kcal != claimed 140 kcal (diff 58.0 > tol 5.0)\nSealed and independently re-checkable: https://narrowhighway.com/s/54eaebdbe8edcba1c780ba", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_c6519f62dda9", "title": "Calories 260, Total Fat 16g (21%), Saturated Fat 6g (30%), Trans Fat 0g, Cholest", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: BROKEN.\n• nutrition.macronutrient_calories: actual 288 kcal != claimed 260 kcal (diff 28.0 > tol 5.0)\nSealed and independently re-checkable: https://narrowhighway.org/s/12197a05a31a186dabb79e", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_00fb5577412a", "title": "Calories 150. Total Fat 8g. Sodium 120mg. Total Carbohydrate 12g. Protein 5g", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: BROKEN.\n• nutrition.macronutrient_calories: actual 140 kcal != claimed 150 kcal (diff 10.0 > tol 5.0)\nSealed and independently re-checkable: https://narrowhighway.com/s/19f30cff7ed001b1abd8d0", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_135935772b06", "title": "Calories 250, Total Fat 8g (10% DV), Sodium 420mg (18% DV), Total Carbohydrate 3", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: BROKEN.\n• nutrition.macronutrient_calories: actual 256 kcal != claimed 250 kcal (diff 6.0 > tol 5.0)\nSealed and independently re-checkable: https://narrowhighway.com/s/24b02c0a71610ba9ecd39db", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_4ba09a5a1e15", "title": "Calories: 150. Total fat: 5g. Sodium: 200mg. Total carbohydrate: 25g. Protein: 8", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: BROKEN.\n• nutrition.macronutrient_calories: actual 177 kcal != claimed 150 kcal (diff 27.0 > tol 5.0)\nSealed and independently re-checkable: https://narrowhighway.org/s/5d1ffabf5d9082cbe5357a", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}, {"id": "card_v_69a68300b1cc", "title": "Calories 140. Total Fat 8g. Sodium 120mg. Total Carbohydrate 12g. Protein 5g", "shelf": "nutrition", "surface": "secular", "snippet": "Verdict: HOLDS.\n• nutrition.macronutrient_calories: 140 kcal from 12.0g C + 5.0g P + 8.0g F matches claim 140 (diff 0.0 ≤ 5.0)\nSealed and independently re-checkable: https://narrowhighway.com/s/48aa0a", "authority_tier": "engine", "source": "Verified by the engine — nutrition", "generated": false}]}