WEDGE

Corrected sodium

Compute expected sodium in hyperglycemia using Katz 1.6 or Hillier 2.4. The formula argument is required.

WEDGE $0.005 USDC GET /api/calc/corrected_sodium

Markdown: /docs/corrected-sodium.md · Canonical: https://magentlab.com/docs/corrected-sodium

Not a medical device. Not a diagnosis, dose, or listing recommendation.

What it computes

Compute expected sodium in hyperglycemia using Katz 1.6 or Hillier 2.4. The formula argument is required.

When to use

When an agent must not apply a Katz or Hillier factor silently. Callers must choose formula=katz or formula=hillier.

When not to use

• Not a treatment recommendation and not a diagnosis of hyponatremia.
• formula is required. magent does not pick Katz or Hillier.
• Does not recommend fluid or insulin therapy. Arithmetic only for the chosen published factor.

Formula

corrected_na_mmol_l = sodium_mmol_l + 1.6 * (glucose_mg_dl - 100) / 100

Citation

Title

Hyperglycemia-induced hyponatremia — calculation of expected serum sodium depression

Authors

Katz MA

Source

N Engl J Med. 1973;289(16):843-844

DOI

10.1056/NEJM197310182891607

Worked example

Try

Opens the live endpoint. Unpaid browser requests show the paywall; agents should send Accept: application/json.

/api/calc/corrected_sodium?sodium_mmol_l=125&glucose_mg_dl=400&formula=katz

Full URL: https://api.magentlab.com/api/calc/corrected_sodium?sodium_mmol_l=125&glucose_mg_dl=400&formula=katz

x402 V2 curl

Expect HTTP 402 and a PAYMENT-REQUIRED header until you retry with PAYMENT-SIGNATURE. Incomplete query params return HTTP 400 before any quote or charge.

curl -i -H "Accept: application/json" "https://api.magentlab.com/api/calc/corrected_sodium?sodium_mmol_l=125&glucose_mg_dl=400&formula=katz"

Cursor mcp.json

Intended config for @magent/mcp. This is not npm @x402/fetch (a payment fetch wrapper).

{
  "mcpServers": {
    "magent": {
      "args": [
        "-y",
        "@magent/mcp"
      ],
      "command": "npx",
      "env": {
        "X402_PRIVATE_KEY": "0xYOUR_SPENDING_KEY"
      }
    }
  }
}

Parameters

Bulk (POST)

POST the same path with a JSON items array. Price is n times the GET unit. Invalid items return HTTP 400 before settlement.

POST /api/calc/corrected_sodium Max 25 unit_amount * n PREVIEW

• 1 to 25 items. Each item uses the same keys as the GET query parameters.
• The first invalid item fails the whole request (index in the 400 JSON). You are not charged.
• HTTP 200 is {count, path, items}. Each items[i] is the GET 200 body for that row.
• Catalog misses (empty matches, found=false) stay paid 200s inside that slot.
• x402 resource URL is this path plus n and body_sha256. Browsers that prefer text/html get the same paywall as GET; Pay retries POST with the same items.

Example request (fixture)

{
  "items": [
    {
      "formula": "katz",
      "glucose_mg_dl": "400",
      "sodium_mmol_l": "125"
    },
    {
      "formula": "katz",
      "glucose_mg_dl": "400",
      "sodium_mmol_l": "125"
    }
  ]
}

Open bulk paywall →

Opens a two-item fixture on the API host. Unpaid browsers get the same MetaMask paywall as GET; Pay retries POST with those items.

Example 200 (fixture)

{
  "count": 2,
  "path": "/api/calc/corrected_sodium",
  "items": [
    {
      "factor": 1.6,
      "disclaimer": "Not a medical device. Deterministic published-formula or published-code output for autonomous agents. A licensed clinician remains responsible for patient care and billing submissions.",
      "citation": {
        "authors": "Katz MA",
        "doi": "10.1056/NEJM197310182891607",
        "id": "katz-1973",
        "source": "N Engl J Med. 1973;289(16):843-844",
        "title": "Hyperglycemia-induced hyponatremia — calculation of expected serum sodium depression"
      },
      "formula": "katz",
      "formula_expression": "corrected_na_mmol_l = sodium_mmol_l + 1.6 * (glucose_mg_dl - 100) / 100",
      "corrected_sodium_mmol_l": 129.8,
      "glucose_mg_dl": 400.0,
      "sodium_mmol_l": 125.0
    },
    {
      "factor": 1.6,
      "disclaimer": "Not a medical device. Deterministic published-formula or published-code output for autonomous agents. A licensed clinician remains responsible for patient care and billing submissions.",
      "citation": {
        "authors": "Katz MA",
        "doi": "10.1056/NEJM197310182891607",
        "id": "katz-1973",
        "source": "N Engl J Med. 1973;289(16):843-844",
        "title": "Hyperglycemia-induced hyponatremia — calculation of expected serum sodium depression"
      },
      "formula": "katz",
      "formula_expression": "corrected_na_mmol_l = sodium_mmol_l + 1.6 * (glucose_mg_dl - 100) / 100",
      "corrected_sodium_mmol_l": 129.8,
      "glucose_mg_dl": 400.0,
      "sodium_mmol_l": 125.0
    }
  ]
}

Response

Example JSON

Machine form of the same example. Frozen fixture. Not a live lookup.

{
  "factor": 1.6,
  "disclaimer": "Not a medical device. Deterministic published-formula or published-code output for autonomous agents. A licensed clinician remains responsible for patient care and billing submissions.",
  "citation": {
    "authors": "Katz MA",
    "doi": "10.1056/NEJM197310182891607",
    "id": "katz-1973",
    "source": "N Engl J Med. 1973;289(16):843-844",
    "title": "Hyperglycemia-induced hyponatremia — calculation of expected serum sodium depression"
  },
  "formula": "katz",
  "formula_expression": "corrected_na_mmol_l = sodium_mmol_l + 1.6 * (glucose_mg_dl - 100) / 100",
  "corrected_sodium_mmol_l": 129.8,
  "glucose_mg_dl": 400.0,
  "sodium_mmol_l": 125.0
}

Errors

Related tools

• Corrected calcium — Compute Payne albumin-corrected calcium from total calcium and albumin.
• A1C ↔ eAG — Convert A1C percent to estimated average glucose, or the reverse, using Nathan/ADAG.
• Bicarbonate deficit — Estimate bicarbonate deficit from weight and measured plasma HCO3 using a 50 percent body-weight apparent space.

Also searched as

• sodium correction for hyperglycemia
• Katz correction factor
• Hillier 2.4 factor
• corrected sodium glucose
• hyperglycemia hyponatremia

Payment

Required query parameters must be present and valid. Invalid params return HTTP 400 JSON before settlement. magent does not charge. Fix the params, then request a new 402 quote for that complete URL. Catalog misses (empty matches, found=false) are valid paid 200s. Unpaid valid requests return HTTP 402 with a base64 PAYMENT-REQUIRED header. Retry the same URL with PAYMENT-SIGNATURE. Settlement completes before the tool runs. Full handshake and shared payment errors: Payments.

Guarantees

• Invalid query parameters return HTTP 400 before settlement. You are not charged.
• Settlement finishes before the tool executes. Uncertain settlement fails closed (HTTP 503).
• Execution is timeout-bounded and concurrency-capped.
• Calculator inputs are not persisted. Request logs store path without query.