# Altitude-adjusted PERC

Altitude-adjusted PERC

Status: LIVE
Price: $0.005 USDC
`GET /api/calc/perc_altitude`
HTML: https://magentlab.com/docs/perc-altitude
Markdown: https://magentlab.com/docs/perc-altitude.md

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

## What it computes

Apply the Madsen 2019 altitude-adjusted eight-factor pulmonary embolism rule-out criteria (hypoxia as O2 sat <90% at ~4980 ft) and return whether all eight are met (PERC-negative).

## When to use

When an agent already has a low pretest probability of PE, as in Kline, and the encounter is at altitude as studied by Madsen (chest pain and/or SOB at ~4980 ft), and needs a published altitude-adjusted PERC-negative result from caller-assigned findings.

## When not to use

- Not a medical device.
- Not a PE diagnosis and not sea-level PERC (that is perc). Not a D-dimer protocol.
- Only for patients who already have a low pretest probability of pulmonary embolism, as in Kline. Madsen studied chest pain and/or SOB at altitude. magent does not assign pretest probability.
- The caller assigns age, pulse, SaO2, and the five clinical flags. magent does not measure vitals or examine the patient.

## Formula

```
PERC-negative iff age < 50 and pulse < 100 bpm and SaO2 ≥ 90% and no unilateral leg swelling and no hemoptysis and no recent trauma or surgery and no prior PE or DVT and no hormone use
```

## Citation

[Impact of altitude-adjusted hypoxia on the Pulmonary Embolism Rule-out Criteria.](https://doi.org/10.1016/j.ajem.2018.05.050)
Madsen T, Jedick R, Teeples T, Carlson M, Steenblik J
Am J Emerg Med. 2019;37(2):281-285 (Epub 2018 May 24)
DOI: [10.1016/j.ajem.2018.05.050](https://doi.org/10.1016/j.ajem.2018.05.050)

## Worked example

### All eight criteria met at SaO2 90

Given: `age=40, estrogen_use=false, heart_rate_bpm=80, hemoptysis=false, prior_vte=false, recent_surgery_or_trauma=false, spo2_percent=90, unilateral_leg_swelling=false`

1. Age 40 < 50; pulse 80 < 100; SaO2 90 ≥ 90 (meets altitude-adjusted hypoxia; would fail sea-level PERC >94)
2. Five harmful findings absent
3. PERC-negative


### Age 50 fails the age criterion

Given: `age=50, estrogen_use=false, heart_rate_bpm=80, hemoptysis=false, prior_vte=false, recent_surgery_or_trauma=false, spo2_percent=90, unilateral_leg_swelling=false`

1. Age 50 is not < 50
2. PERC-negative is false


## Also searched as

- altitude-adjusted PERC
- Madsen PERC
- PERC altitude
- altitude PERC rule
- hypoxia-adjusted PERC
- PERC 4980 ft
- altitude-adjusted pulmonary embolism rule-out

## Parameters

- `age` (integer, required): Age in years (18-120). Criterion met when age < 50; 50 does not meet.
- `heart_rate_bpm` (integer, required): Pulse in beats per minute (integer 30-220). Criterion met when pulse < 100; 100 does not meet.
- `spo2_percent` (number, required): Oxygen saturation percent (50-100). Criterion met when SaO2 ≥ 90; 89.9 does not meet. Madsen 2019 altitude adjustment, not sea-level PERC >94.
- `unilateral_leg_swelling` (boolean, required): Unilateral leg swelling. true or false as assigned by the caller. Criterion met when false.
- `hemoptysis` (boolean, required): Hemoptysis. true or false as assigned by the caller. Criterion met when false.
- `recent_surgery_or_trauma` (boolean, required): Recent trauma or surgery. true or false as assigned by the caller. Criterion met when false.
- `prior_vte` (boolean, required): Prior PE or DVT. true or false as assigned by the caller. Criterion met when false.
- `estrogen_use` (boolean, required): Hormone or exogenous estrogen use. true or false as assigned by the caller. Criterion met when false.

## Bulk (POST)

POST the same path with a JSON items array. The first item is the GET unit; each additional item is $0.002. Invalid items return HTTP 400 before settlement.

Method: `POST /api/calc/perc_altitude`
Max items: 25
Price: unit_amount + extra_item_amount * (n - 1) (unit 5000 atomic, extra 2000 atomic)
Status: PREVIEW

- 1 to 25 items. Each item uses the same keys as the GET query parameters.
- POST of 1 item costs the same as GET. Lists longer than 25: chunk into multiple POSTs. Extra items still execute; do not pad dummy rows.
- 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:

```json
{
  "items": [
    {
      "age": "40",
      "estrogen_use": "false",
      "heart_rate_bpm": "80",
      "hemoptysis": "false",
      "prior_vte": "false",
      "recent_surgery_or_trauma": "false",
      "spo2_percent": "90",
      "unilateral_leg_swelling": "false"
    },
    {
      "age": "40",
      "estrogen_use": "false",
      "heart_rate_bpm": "80",
      "hemoptysis": "false",
      "prior_vte": "false",
      "recent_surgery_or_trauma": "false",
      "spo2_percent": "90",
      "unilateral_leg_swelling": "false"
    }
  ]
}
```

Human paywall (two-item fixture): https://api.magentlab.com/paywall/bulk/perc-altitude

Example 200:

```json
{
  "count": 2,
  "path": "/api/calc/perc_altitude",
  "items": [
    {
      "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": "Madsen T, Jedick R, Teeples T, Carlson M, Steenblik J",
        "doi": "10.1016/j.ajem.2018.05.050",
        "id": "madsen-2019",
        "pmid": "29848460",
        "source": "Am J Emerg Med. 2019;37(2):281-285 (Epub 2018 May 24)",
        "title": "Impact of altitude-adjusted hypoxia on the Pulmonary Embolism Rule-out Criteria."
      },
      "formula": "perc_altitude",
      "formula_expression": "PERC-negative iff age < 50 and pulse < 100 bpm and SaO2 ≥ 90% and no unilateral leg swelling and no hemoptysis and no recent trauma or surgery and no prior PE or DVT and no hormone use",
      "criteria": [
        {
          "value": 40,
          "factor": "age_lt_50",
          "met": true
        },
        {
          "value": 80,
          "factor": "pulse_lt_100",
          "met": true
        },
        {
          "value": 90.0,
          "factor": "sao2_ge_90",
          "met": true
        },
        {
          "factor": "no_unilateral_leg_swelling",
          "met": true
        },
        {
          "factor": "no_hemoptysis",
          "met": true
        },
        {
          "factor": "no_recent_surgery_or_trauma",
          "met": true
        },
        {
          "factor": "no_prior_vte",
          "met": true
        },
        {
          "factor": "no_estrogen_use",
          "met": true
        }
      ],
      "perc_negative": true
    },
    {
      "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": "Madsen T, Jedick R, Teeples T, Carlson M, Steenblik J",
        "doi": "10.1016/j.ajem.2018.05.050",
        "id": "madsen-2019",
        "pmid": "29848460",
        "source": "Am J Emerg Med. 2019;37(2):281-285 (Epub 2018 May 24)",
        "title": "Impact of altitude-adjusted hypoxia on the Pulmonary Embolism Rule-out Criteria."
      },
      "formula": "perc_altitude",
      "formula_expression": "PERC-negative iff age < 50 and pulse < 100 bpm and SaO2 ≥ 90% and no unilateral leg swelling and no hemoptysis and no recent trauma or surgery and no prior PE or DVT and no hormone use",
      "criteria": [
        {
          "value": 40,
          "factor": "age_lt_50",
          "met": true
        },
        {
          "value": 80,
          "factor": "pulse_lt_100",
          "met": true
        },
        {
          "value": 90.0,
          "factor": "sao2_ge_90",
          "met": true
        },
        {
          "factor": "no_unilateral_leg_swelling",
          "met": true
        },
        {
          "factor": "no_hemoptysis",
          "met": true
        },
        {
          "factor": "no_recent_surgery_or_trauma",
          "met": true
        },
        {
          "factor": "no_prior_vte",
          "met": true
        },
        {
          "factor": "no_estrogen_use",
          "met": true
        }
      ],
      "perc_negative": true
    }
  ]
}
```

## Response fields

- `formula` (string): perc_altitude
- `formula_expression` (string): Eight Kline factors with Madsen 2019 SaO2 ≥ 90% hypoxia threshold
- `perc_negative` (boolean): true only when all eight criteria are met. Not a diagnosis.
- `criteria` (array): Per-factor rows with factor, met, and value when numeric
- `citation` (object): Madsen 2019 Am J Emerg Med citation
- `disclaimer` (string): Not-a-device notice

## Example JSON

Frozen fixture. Not a live lookup.

```json
{
  "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": "Madsen T, Jedick R, Teeples T, Carlson M, Steenblik J",
    "doi": "10.1016/j.ajem.2018.05.050",
    "id": "madsen-2019",
    "pmid": "29848460",
    "source": "Am J Emerg Med. 2019;37(2):281-285 (Epub 2018 May 24)",
    "title": "Impact of altitude-adjusted hypoxia on the Pulmonary Embolism Rule-out Criteria."
  },
  "formula": "perc_altitude",
  "formula_expression": "PERC-negative iff age < 50 and pulse < 100 bpm and SaO2 ≥ 90% and no unilateral leg swelling and no hemoptysis and no recent trauma or surgery and no prior PE or DVT and no hormone use",
  "criteria": [
    {
      "value": 40,
      "factor": "age_lt_50",
      "met": true
    },
    {
      "value": 80,
      "factor": "pulse_lt_100",
      "met": true
    },
    {
      "value": 90.0,
      "factor": "sao2_ge_90",
      "met": true
    },
    {
      "factor": "no_unilateral_leg_swelling",
      "met": true
    },
    {
      "factor": "no_hemoptysis",
      "met": true
    },
    {
      "factor": "no_recent_surgery_or_trauma",
      "met": true
    },
    {
      "factor": "no_prior_vte",
      "met": true
    },
    {
      "factor": "no_estrogen_use",
      "met": true
    }
  ],
  "perc_negative": true
}
```

## Errors

- HTTP 400 `invalid_perc_altitude`: Altitude-adjusted PERC needs age, heart_rate_bpm, spo2_percent, and the five Kline flags (Madsen 2019). Returned before settlement; you are not charged.
- HTTP 400 `invalid_age`: age must be an integer from 18 to 120 Returned before settlement; you are not charged.
- HTTP 400 `invalid_heart_rate`: heart_rate_bpm must be an integer from 30 to 220 Returned before settlement; you are not charged.
- HTTP 400 `invalid_spo2`: spo2_percent must be a number from 50 to 100. Returned before settlement; you are not charged.
- HTTP 400 `invalid_flag`: boolean clinical flags must be true or false Returned before settlement; you are not charged.
- HTTP 400 `invalid_items`: POST body must be a JSON object with only an items array Returned before settlement; you are not charged.
- HTTP 400 `invalid_item_count`: items must be an array of 1 to 25 objects Returned before settlement; you are not charged.
- HTTP 400 `invalid_item`: each items entry must be a JSON object Returned before settlement; you are not charged.

Shared HTTP 402 and 503: https://magentlab.com/docs/payments

## Related tools

- [PERC rule](https://magentlab.com/docs/perc) — Apply the Kline 2004 eight-factor pulmonary embolism rule-out criteria and return whether all eight are met (PERC-negative).
- [Wells PE](https://magentlab.com/docs/wells-pe) — Compute the Wells pulmonary-embolism probability score and return three-tier and two-tier bands.

## Payment

Unpaid requests return HTTP 402 even if query parameters or POST items are missing or invalid, so CDP and agents can index the path. After a PAYMENT-SIGNATURE, 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.

- GET the tool with Accept: application/json (do not send Accept: text/html unless you want the human paywall).
- HTTP 402 means you have not paid. Decode the base64 PAYMENT-REQUIRED header. HTTP 503 is not a new quote.
- Sign accepts[0] (exact, EIP-3009) with validBefore = now + maxTimeoutSeconds (600 seconds), or accepts[1] (batch-settlement deposit/voucher) on product GET. Ping and POST {items} stay exact. Magent retries transient facilitator 429/5xx before answering.
- Retry the same URL with PAYMENT-SIGNATURE (base64 JSON of accepted and payload). Magent attaches canonical extensions.bazaar on CDP verify/settle; echoing 402 bazaar is optional.
- Success is HTTP 200 JSON plus PAYMENT-RESPONSE. exact settles before the tool. batch-settlement verifies (and deposit-settles) before the tool and commits the charge after HTTP 2xx. HTTP 503: retry the same PAYMENT-SIGNATURE. Mint a new exact nonce only after a new HTTP 402.

- offered `exact` on eip155:8453: Fixed-price USDC on Base. The buyer authorizes the advertised amount (EIP-3009). magent settles before the tool runs (paymentFlow upfront). extra.assetTransferMethod=eip3009 extra.paymentFlow=upfront.
- offered `batch-settlement` on eip155:8453: Payment-channel vouchers claimed later in batches. Exact stays accepts[0]. Same-path POST {items} is still exact. extra.assetTransferMethod=eip3009 extra.paymentFlow=authorization.

- not offered `upto`: Not offered. Usage-based: buyer authorizes a ceiling, seller settles the actual amount after work. Reserved for a future metered tool. Not for current calculators or code search.

Same-path POST {items} is still scheme exact: one EIP-3009 authorization for GET unit plus $0.002 per extra item. That is not x402 batch-settlement (payment channels / vouchers).

Shared HTTP 402 and 503 table: https://magentlab.com/docs/payments

Stdio MCP (one process per host): https://magentlab.com/docs/mcp

## Guarantees

- HTTP 402 is unpaid, including a missing query. After PAYMENT-SIGNATURE, invalid parameters return HTTP 400 before settlement. You are not charged. HTTP 402 never includes the tool JSON.
- exact: settlement finishes before the tool (paymentFlow upfront). batch-settlement: verify/deposit before the tool; chargedCumulativeAmount commits after HTTP 2xx. Uncertain or failed settlement fails closed (HTTP 503). Retry the same PAYMENT-SIGNATURE.
- HTTP 402 is unpaid only. Do not sign a second authorization because of a 503.
- Execution is timeout-bounded and concurrency-capped.
- Calculator inputs are stored encrypted for allowlisted operators (Magent Console). They are not in public logs, SSH lookups, catalog, or rollups. Request logs store path without query.
