{
  "derivations": [
    {
      "id": "der-001",
      "status": "superseded",
      "superseded_by": "der-002",
      "label": {
        "en": "Energy to arrive at one kept image"
      },
      "for_section": "3",
      "inputs": [
        {
          "ref": "m-001",
          "use": "quantity.statistics.median"
        },
        {
          "ref": "m-001",
          "use": "quantity.statistics.mean"
        },
        {
          "ref": "a-001",
          "use": "value"
        }
      ],
      "formula": "wh_per_image * images_per_task",
      "result": {
        "unit": "Wh",
        "low": 5.4,
        "high": 58.14,
        "basis": {
          "low": "median 1.35 x low 4",
          "high": "mean 2.907 x high 20"
        },
        "presentation": "range_only_no_point_estimate"
      },
      "boundary_inherited_from": "m-001",
      "boundary_tier": "A",
      "comparability_warning": {
        "en": "Tier A figure. Not directly comparable to vendor figures or utility bills that include tier B or C."
      },
      "misuse_guard_inherited_from": "m-001",
      "verified_by": "ledger-keeper",
      "verified_at": "2026-08-27",
      "verification_depth": "primary_source_read",
      "verified_by_model": "claude-opus-5"
    },
    {
      "id": "der-002",
      "status": "superseded",
      "superseded_by": "der-007",
      "previous_id": "der-001",
      "label": {
        "en": "Energy to arrive at one kept image"
      },
      "for_section": "3",
      "inputs": [
        {
          "ref": "m-007",
          "use": "quantity.statistics.median"
        },
        {
          "ref": "m-007",
          "use": "quantity.statistics.mean"
        },
        {
          "ref": "a-001",
          "use": "value"
        }
      ],
      "formula": "wh_per_image * images_per_task",
      "result": {
        "unit": "Wh",
        "low": 5.4,
        "high": 58.14,
        "basis": {
          "low": "median 1.35 x low 4",
          "high": "mean 2.907 x high 20"
        },
        "presentation": "range_only_no_point_estimate"
      },
      "boundary_inherited_from": "m-007",
      "boundary_tier": "A",
      "comparability_warning": {
        "en": "Tier A figure. Not directly comparable to vendor figures or utility bills that include tier B or C."
      },
      "misuse_guard_inherited_from": "m-007",
      "verified_by": "codex-gpt-5-6",
      "verified_at": "2026-08-27",
      "verification_depth": "primary_source_read",
      "verified_by_model": "GPT-5.6"
    },
    {
      "id": "der-003",
      "status": "active",
      "superseded_by": null,
      "label": {
        "en": "Comparison energy for operating an 8 W LED bulb for one hour"
      },
      "for_section": "2",
      "inputs": [
        {
          "ref": "m-015",
          "use": "quantity.statistics.rated_power"
        },
        {
          "ref": "a-002",
          "use": "value"
        }
      ],
      "formula": "rated_power_watts * duration_hours",
      "unit_conversion": "W multiplied by h yields Wh",
      "result": {
        "unit": "Wh",
        "point": 8,
        "basis": "8 W x 1 h",
        "presentation": "comparison_only"
      },
      "boundary_inherited_from": "m-015",
      "boundary_tier": "A",
      "comparability_warning": {
        "en": "A comparison made from one product's rated power and an editorial one-hour duration; not measured household use."
      },
      "misuse_guard_inherited_from": "m-015",
      "verified_by": "codex-gpt-5-6",
      "verified_at": "2026-08-27",
      "verification_depth": "primary_source_read",
      "verified_by_model": "GPT-5.6"
    },
    {
      "id": "der-004",
      "status": "active",
      "superseded_by": null,
      "label": {
        "en": "Wh conversion of the 2020 EU average dishwasher cycle"
      },
      "for_section": "2",
      "inputs": [
        {
          "ref": "m-017",
          "use": "quantity.statistics.mean"
        }
      ],
      "formula": "kWh_per_cycle * 1000",
      "unit_conversion": "1 kWh = 1000 Wh",
      "result": {
        "unit": "Wh",
        "point": 800,
        "basis": "0.8 kWh x 1000 Wh/kWh",
        "presentation": "comparison_only"
      },
      "boundary_inherited_from": "m-017",
      "boundary_tier": "A",
      "comparability_warning": {
        "en": "An average for products sold in the EU in 2020, not a specific current model or operating condition."
      },
      "misuse_guard_inherited_from": "m-017",
      "verified_by": "codex-gpt-5-6",
      "verified_at": "2026-08-27",
      "verification_depth": "primary_source_read",
      "verified_by_model": "GPT-5.6"
    },
    {
      "id": "der-005",
      "status": "active",
      "superseded_by": null,
      "label": {
        "en": "Lifecycle emissions for the same 1 kWh under four national annual averages"
      },
      "for_section": "7",
      "inputs": [
        {
          "ref": "m-018",
          "use": "quantity.statistics.point"
        },
        {
          "ref": "m-019",
          "use": "quantity.statistics.point"
        },
        {
          "ref": "m-020",
          "use": "quantity.statistics.point"
        },
        {
          "ref": "m-021",
          "use": "quantity.statistics.point"
        },
        {
          "ref": "a-003",
          "use": "value"
        }
      ],
      "formula": "national_intensity_gCO2e_per_kWh * 1_kWh",
      "unit_conversion": "gCO2e/kWh multiplied by kWh yields gCO2e",
      "result": {
        "unit": "gCO2e",
        "values": {
          "Norway": 28.1,
          "Italy": 284.63,
          "United States of America": 384.4,
          "India": 670.55
        },
        "presentation": "four_country_table"
      },
      "boundary_tier": "unknown",
      "comparability_warning": {
        "en": "National annual generation averages; they do not identify a specific data centre's location, hour or electricity contract."
      },
      "misuse_guard": {
        "not_applicable_to": [
          "specific_ai_service",
          "hourly_grid_mix",
          "market_based_procurement"
        ],
        "forbidden_claims": [
          {
            "en": "Presenting the four values as actual emissions of a specific AI service."
          }
        ]
      },
      "verified_by": "codex-gpt-5-6",
      "verified_at": "2026-08-27",
      "verification_depth": "primary_source_read",
      "verified_by_model": "GPT-5.6"
    },
    {
      "id": "der-006",
      "status": "active",
      "superseded_by": null,
      "label": {
        "en": "Ratio of 2025 annual-average electricity carbon intensity: India to Norway"
      },
      "for_section": "7",
      "inputs": [
        {
          "ref": "m-021",
          "use": "quantity.statistics.point"
        },
        {
          "ref": "m-018",
          "use": "quantity.statistics.point"
        }
      ],
      "formula": "India_intensity / Norway_intensity",
      "unit_conversion": "identical intensity units cancel to a dimensionless factor",
      "result": {
        "unit": "factor",
        "point": 23.862989323843,
        "display": 24,
        "basis": "670.55 / 28.1",
        "presentation": "rounded_ratio_with_input_values"
      },
      "boundary_tier": "unknown",
      "comparability_warning": {
        "en": "A ratio of national annual averages; it excludes AI-provider location, procurement contracts and hourly variation."
      },
      "misuse_guard": {
        "not_applicable_to": [
          "specific_ai_service",
          "causal_country_comparison"
        ],
        "forbidden_claims": [
          {
            "en": "Claiming that the same AI task necessarily differs by 24x between countries."
          }
        ]
      },
      "verified_by": "codex-gpt-5-6",
      "verified_at": "2026-08-27",
      "verification_depth": "primary_source_read",
      "verified_by_model": "GPT-5.6"
    },
    {
      "id": "der-007",
      "status": "active",
      "superseded_by": null,
      "previous_id": "der-002",
      "label": {
        "en": "Third-draft presentation of energy to arrive at one kept image as separate median and mean bands"
      },
      "for_section": "3",
      "inputs": [
        {
          "ref": "m-007",
          "use": "quantity.statistics.median"
        },
        {
          "ref": "m-007",
          "use": "quantity.statistics.mean"
        },
        {
          "ref": "a-001",
          "use": "value"
        }
      ],
      "formula": "calculate separate products for median and mean: wh_per_image * images_per_task",
      "result": {
        "median_band": {
          "low": 5.4,
          "high": 27,
          "basis": {
            "low": "median 1.35 x low 4",
            "high": "median 1.35 x high 20"
          }
        },
        "mean_band": {
          "low": 11.628,
          "high": 58.14,
          "basis": {
            "low": "mean 2.907 x low 4",
            "high": "mean 2.907 x high 20"
          }
        },
        "outer_envelope": {
          "low": 5.4,
          "high": 58.14
        },
        "unit": "Wh",
        "presentation": "two_bands_with_outer_envelope_explicitly_not_statistical"
      },
      "boundary_inherited_from": "m-007",
      "boundary_tier": "A",
      "comparability_warning": {
        "en": "Display the median and mean bands separately. The outer envelope is not a confidence interval, measured range or probability distribution."
      },
      "misuse_guard_inherited_from": "m-007",
      "verified_by": "codex-gpt-5-6",
      "verified_at": "2026-08-28",
      "verification_depth": "primary_source_read",
      "verified_by_model": "GPT-5.6"
    }
  ]
}
