# Rome IV functional biliary sphincter of Oddi

Rome IV biliary SOD

Status: LIVE
Price: $0.005 USDC
`GET /api/calc/rome_iv_biliary_sod`
HTML: https://magentlab.com/docs/rome-iv-biliary-sod
Markdown: https://magentlab.com/docs/rome-iv-biliary-sod.md

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

## What it computes

Apply the Cotton 2016 Rome IV E1b functional biliary sphincter of Oddi disorder diagnostic criteria and return whether the published E1b box holds (rome_iv_biliary_sod). Elevated liver enzymes XOR dilated bile duct is required. Supportive flags are reported and not required.

## When to use

When an agent already has the Cotton 2016 Rome IV E1 biliary-pain flags, the enzyme and bile-duct flags, the structural-exclusion flag, and the three supportive flags, and needs whether the published E1b functional biliary SOD box holds. magent does not read labs, imaging, manometry, or ERCP.

## When not to use

- Not a medical device.
- Not a diagnosis. magent does not diagnose functional biliary sphincter of Oddi disorder.
- The caller assigns the flags. magent does not read labs, imaging, manometry, or ERCP.
- This tool is Cotton 2016 Rome IV E1b functional biliary sphincter of Oddi disorder only (suspected FBSD / former SOD type II after cholecystectomy). Type I (both elevated liver enzymes and a dilated bile duct) is organic stenosis, not this box. Type III (neither finding) is not this box; EPISOD showed type III does not benefit from sphincterotomy versus sham. Absence of bile-duct stones or other structural abnormalities is the structural flag; there is no separate cholecystectomy boolean. Normal amylase/lipase, abnormal sphincter of Oddi manometry, and hepatobiliary scintigraphy are supportive and not required. Not pancreatic SOD (E2). Not functional gallbladder (E1a).

## Formula

```
rome_iv_biliary_sod iff epigastric_or_ruq_pain and builds_to_steady_level_lasts_30_min_or_longer and occurring_at_different_intervals_not_daily and severe_enough_to_interrupt_activities_or_ed_visit and not_significantly_related_to_bowel_movements and not_significantly_relieved_by_postural_change_or_acid_suppression and enzymes_xor_dilated and absence_of_bile_duct_stones_or_other_structural_abnormalities; enzymes_xor_dilated is (elevated_liver_enzymes and not dilated_bile_duct) or (dilated_bile_duct and not elevated_liver_enzymes); normal_amylase_lipase, abnormal_sphincter_of_oddi_manometry, and hepatobiliary_scintigraphy are supportive and not required (Cotton 2016 Rome IV E1b)
```

## Citation

[Gallbladder and Sphincter of Oddi Disorders](https://doi.org/10.1053/j.gastro.2016.02.033)
Cotton PB, Elta GH, Carter CR, Pasricha PJ, Corazziari ES
Gastroenterology. 2016;150(6):1420-1429
DOI: [10.1053/j.gastro.2016.02.033](https://doi.org/10.1053/j.gastro.2016.02.033)

## Worked example

### E1 biliary pain, enzymes XOR dilated duct, absence, and supportive flags

Given: `abnormal_sphincter_of_oddi_manometry=true, absence_of_bile_duct_stones_or_other_structural_abnormalities=true, builds_to_steady_level_lasts_30_min_or_longer=true, dilated_bile_duct=false, elevated_liver_enzymes=true, epigastric_or_ruq_pain=true, hepatobiliary_scintigraphy=true, normal_amylase_lipase=true, not_significantly_related_to_bowel_movements=true, not_significantly_relieved_by_postural_change_or_acid_suppression=true, occurring_at_different_intervals_not_daily=true, severe_enough_to_interrupt_activities_or_ed_visit=true`

1. All six Cotton 2016 E1 biliary-pain flags are true
2. Elevated liver enzymes is true and dilated bile duct is false (XOR holds)
3. Absence of bile-duct stones or other structural abnormalities is true
4. Normal amylase/lipase, abnormal sphincter of Oddi manometry, and hepatobiliary scintigraphy are true (supportive, not required)
5. rome_iv_biliary_sod is true


### E1 biliary pain with dilated duct XOR and no supportive flags

Given: `abnormal_sphincter_of_oddi_manometry=false, absence_of_bile_duct_stones_or_other_structural_abnormalities=true, builds_to_steady_level_lasts_30_min_or_longer=true, dilated_bile_duct=true, elevated_liver_enzymes=false, epigastric_or_ruq_pain=true, hepatobiliary_scintigraphy=false, normal_amylase_lipase=false, not_significantly_related_to_bowel_movements=true, not_significantly_relieved_by_postural_change_or_acid_suppression=true, occurring_at_different_intervals_not_daily=true, severe_enough_to_interrupt_activities_or_ed_visit=true`

1. All six E1 biliary-pain flags and structural absence hold
2. Elevated liver enzymes is false and dilated bile duct is true (XOR holds)
3. Supportive flags are false
4. rome_iv_biliary_sod is true because supportive flags are not required


## Also searched as

- Rome IV biliary SOD
- Rome IV functional biliary sphincter of Oddi
- Cotton 2016 E1b
- functional biliary SOD
- former SOD type II
- biliary sphincter of Oddi disorder
- Rome IV E1b
- FBSD
- sphincter of Oddi dysfunction type II
- functional biliary sphincter of Oddi disorder

## Parameters

- `epigastric_or_ruq_pain` (boolean, required): Episodes of pain located in the epigastrium and/or right upper quadrant (Cotton 2016 E1 biliary pain). true or false as assigned by the caller. magent does not examine the patient.
- `builds_to_steady_level_lasts_30_min_or_longer` (boolean, required): Pain builds up to a steady level lasting 30 minutes or longer (Cotton 2016 E1 biliary pain). true or false as assigned by the caller. magent does not take a history.
- `occurring_at_different_intervals_not_daily` (boolean, required): Episodes occurring at different intervals (not daily) (Cotton 2016 E1 biliary pain). true or false as assigned by the caller. magent does not take a history.
- `severe_enough_to_interrupt_activities_or_ed_visit` (boolean, required): Pain severe enough to interrupt daily activities or lead to an emergency department visit (Cotton 2016 E1 biliary pain). true or false as assigned by the caller. magent does not examine the patient.
- `not_significantly_related_to_bowel_movements` (boolean, required): Pain not significantly related to bowel movements (Cotton 2016 E1 biliary pain). true or false as assigned by the caller. magent does not take a history.
- `not_significantly_relieved_by_postural_change_or_acid_suppression` (boolean, required): Pain not significantly relieved by postural change or acid suppression (Cotton 2016 E1 biliary pain). true or false as assigned by the caller. magent does not prescribe acid suppression.
- `elevated_liver_enzymes` (boolean, required): Elevated liver enzymes, as assigned (Cotton 2016 E1b). XOR with dilated_bile_duct: exactly one must be true. true or false as assigned by the caller. magent does not read labs.
- `dilated_bile_duct` (boolean, required): Dilated bile duct, as assigned (Cotton 2016 E1b). XOR with elevated_liver_enzymes: exactly one must be true. true or false as assigned by the caller. magent does not read imaging.
- `absence_of_bile_duct_stones_or_other_structural_abnormalities` (boolean, required): Absence of bile duct stones or other structural abnormalities, as assigned (Cotton 2016 E1b). This is the structural flag; there is no separate cholecystectomy boolean. true or false as assigned by the caller. magent does not read imaging or ERCP.
- `normal_amylase_lipase` (boolean, required): Normal amylase/lipase, a supportive criterion that is not required for rome_iv_biliary_sod (Cotton 2016 E1b). true or false as assigned by the caller. magent does not read labs.
- `abnormal_sphincter_of_oddi_manometry` (boolean, required): Abnormal sphincter of Oddi manometry, a supportive criterion that is not required for rome_iv_biliary_sod (Cotton 2016 E1b). true or false as assigned by the caller. magent does not read manometry.
- `hepatobiliary_scintigraphy` (boolean, required): Abnormal hepatobiliary scintigraphy, a supportive criterion that is not required for rome_iv_biliary_sod (Cotton 2016 E1b). true or false as assigned by the caller. magent does not read imaging.

## 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/rome_iv_biliary_sod`
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": [
    {
      "abnormal_sphincter_of_oddi_manometry": "true",
      "absence_of_bile_duct_stones_or_other_structural_abnormalities": "true",
      "builds_to_steady_level_lasts_30_min_or_longer": "true",
      "dilated_bile_duct": "false",
      "elevated_liver_enzymes": "true",
      "epigastric_or_ruq_pain": "true",
      "hepatobiliary_scintigraphy": "true",
      "normal_amylase_lipase": "true",
      "not_significantly_related_to_bowel_movements": "true",
      "not_significantly_relieved_by_postural_change_or_acid_suppression": "true",
      "occurring_at_different_intervals_not_daily": "true",
      "severe_enough_to_interrupt_activities_or_ed_visit": "true"
    },
    {
      "abnormal_sphincter_of_oddi_manometry": "true",
      "absence_of_bile_duct_stones_or_other_structural_abnormalities": "true",
      "builds_to_steady_level_lasts_30_min_or_longer": "true",
      "dilated_bile_duct": "false",
      "elevated_liver_enzymes": "true",
      "epigastric_or_ruq_pain": "true",
      "hepatobiliary_scintigraphy": "true",
      "normal_amylase_lipase": "true",
      "not_significantly_related_to_bowel_movements": "true",
      "not_significantly_relieved_by_postural_change_or_acid_suppression": "true",
      "occurring_at_different_intervals_not_daily": "true",
      "severe_enough_to_interrupt_activities_or_ed_visit": "true"
    }
  ]
}
```

Human paywall (two-item fixture): https://api.magentlab.com/paywall/bulk/rome-iv-biliary-sod

Example 200:

```json
{
  "count": 2,
  "path": "/api/calc/rome_iv_biliary_sod",
  "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": "Cotton PB, Elta GH, Carter CR, Pasricha PJ, Corazziari ES",
        "doi": "10.1053/j.gastro.2016.02.033",
        "id": "cotton-2016",
        "pmid": "27144629",
        "source": "Gastroenterology. 2016;150(6):1420-1429",
        "title": "Gallbladder and Sphincter of Oddi Disorders"
      },
      "formula": "rome_iv_biliary_sod",
      "formula_expression": "rome_iv_biliary_sod iff epigastric_or_ruq_pain and builds_to_steady_level_lasts_30_min_or_longer and occurring_at_different_intervals_not_daily and severe_enough_to_interrupt_activities_or_ed_visit and not_significantly_related_to_bowel_movements and not_significantly_relieved_by_postural_change_or_acid_suppression and enzymes_xor_dilated and absence_of_bile_duct_stones_or_other_structural_abnormalities; enzymes_xor_dilated is (elevated_liver_enzymes and not dilated_bile_duct) or (dilated_bile_duct and not elevated_liver_enzymes); normal_amylase_lipase, abnormal_sphincter_of_oddi_manometry, and hepatobiliary_scintigraphy are supportive and not required (Cotton 2016 Rome IV E1b)",
      "criteria": [
        {
          "factor": "epigastric_or_ruq_pain",
          "met": true
        },
        {
          "factor": "builds_to_steady_level_lasts_30_min_or_longer",
          "met": true
        },
        {
          "factor": "occurring_at_different_intervals_not_daily",
          "met": true
        },
        {
          "factor": "severe_enough_to_interrupt_activities_or_ed_visit",
          "met": true
        },
        {
          "factor": "not_significantly_related_to_bowel_movements",
          "met": true
        },
        {
          "factor": "not_significantly_relieved_by_postural_change_or_acid_suppression",
          "met": true
        },
        {
          "value": {
            "dilated_bile_duct": false,
            "elevated_liver_enzymes": true
          },
          "factor": "elevated_liver_enzymes_xor_dilated_bile_duct",
          "met": true
        },
        {
          "factor": "absence_of_bile_duct_stones_or_other_structural_abnormalities",
          "met": true
        },
        {
          "factor": "normal_amylase_lipase",
          "met": true
        },
        {
          "factor": "abnormal_sphincter_of_oddi_manometry",
          "met": true
        },
        {
          "factor": "hepatobiliary_scintigraphy",
          "met": true
        }
      ],
      "dilated_bile_duct": false,
      "elevated_liver_enzymes": true,
      "abnormal_sphincter_of_oddi_manometry": true,
      "hepatobiliary_scintigraphy": true,
      "normal_amylase_lipase": true,
      "rome_iv_biliary_sod": 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": "Cotton PB, Elta GH, Carter CR, Pasricha PJ, Corazziari ES",
        "doi": "10.1053/j.gastro.2016.02.033",
        "id": "cotton-2016",
        "pmid": "27144629",
        "source": "Gastroenterology. 2016;150(6):1420-1429",
        "title": "Gallbladder and Sphincter of Oddi Disorders"
      },
      "formula": "rome_iv_biliary_sod",
      "formula_expression": "rome_iv_biliary_sod iff epigastric_or_ruq_pain and builds_to_steady_level_lasts_30_min_or_longer and occurring_at_different_intervals_not_daily and severe_enough_to_interrupt_activities_or_ed_visit and not_significantly_related_to_bowel_movements and not_significantly_relieved_by_postural_change_or_acid_suppression and enzymes_xor_dilated and absence_of_bile_duct_stones_or_other_structural_abnormalities; enzymes_xor_dilated is (elevated_liver_enzymes and not dilated_bile_duct) or (dilated_bile_duct and not elevated_liver_enzymes); normal_amylase_lipase, abnormal_sphincter_of_oddi_manometry, and hepatobiliary_scintigraphy are supportive and not required (Cotton 2016 Rome IV E1b)",
      "criteria": [
        {
          "factor": "epigastric_or_ruq_pain",
          "met": true
        },
        {
          "factor": "builds_to_steady_level_lasts_30_min_or_longer",
          "met": true
        },
        {
          "factor": "occurring_at_different_intervals_not_daily",
          "met": true
        },
        {
          "factor": "severe_enough_to_interrupt_activities_or_ed_visit",
          "met": true
        },
        {
          "factor": "not_significantly_related_to_bowel_movements",
          "met": true
        },
        {
          "factor": "not_significantly_relieved_by_postural_change_or_acid_suppression",
          "met": true
        },
        {
          "value": {
            "dilated_bile_duct": false,
            "elevated_liver_enzymes": true
          },
          "factor": "elevated_liver_enzymes_xor_dilated_bile_duct",
          "met": true
        },
        {
          "factor": "absence_of_bile_duct_stones_or_other_structural_abnormalities",
          "met": true
        },
        {
          "factor": "normal_amylase_lipase",
          "met": true
        },
        {
          "factor": "abnormal_sphincter_of_oddi_manometry",
          "met": true
        },
        {
          "factor": "hepatobiliary_scintigraphy",
          "met": true
        }
      ],
      "dilated_bile_duct": false,
      "elevated_liver_enzymes": true,
      "abnormal_sphincter_of_oddi_manometry": true,
      "hepatobiliary_scintigraphy": true,
      "normal_amylase_lipase": true,
      "rome_iv_biliary_sod": true
    }
  ]
}
```

## Response fields

- `formula` (string): rome_iv_biliary_sod
- `formula_expression` (string): Cotton 2016 Rome IV E1b: six E1 biliary-pain flags, elevated liver enzymes XOR dilated bile duct, and absence of bile-duct stones or other structural abnormalities; supportive amylase/lipase, manometry, and scintigraphy are reported and not required
- `elevated_liver_enzymes` (boolean): Caller-assigned elevated liver enzymes flag. Echoed; XOR with dilated_bile_duct is required.
- `dilated_bile_duct` (boolean): Caller-assigned dilated bile duct flag. Echoed; XOR with elevated_liver_enzymes is required.
- `normal_amylase_lipase` (boolean): Caller-assigned supportive normal amylase/lipase flag. Reported separately; not required for rome_iv_biliary_sod.
- `abnormal_sphincter_of_oddi_manometry` (boolean): Caller-assigned supportive abnormal sphincter of Oddi manometry flag. Reported separately; not required for rome_iv_biliary_sod.
- `hepatobiliary_scintigraphy` (boolean): Caller-assigned supportive hepatobiliary scintigraphy flag. Reported separately; not required for rome_iv_biliary_sod.
- `rome_iv_biliary_sod` (boolean): true only when the six E1 biliary-pain flags, enzymes XOR dilated duct, and structural absence hold. Supportive flags are not required. Not a diagnosis.
- `criteria` (array): Per-factor rows with factor and met for the six E1 flags, enzymes XOR dilated duct (value echoes both booleans), structural absence, and the three supportive flags
- `citation` (object): Cotton 2016 Gastroenterology 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": "Cotton PB, Elta GH, Carter CR, Pasricha PJ, Corazziari ES",
    "doi": "10.1053/j.gastro.2016.02.033",
    "id": "cotton-2016",
    "pmid": "27144629",
    "source": "Gastroenterology. 2016;150(6):1420-1429",
    "title": "Gallbladder and Sphincter of Oddi Disorders"
  },
  "formula": "rome_iv_biliary_sod",
  "formula_expression": "rome_iv_biliary_sod iff epigastric_or_ruq_pain and builds_to_steady_level_lasts_30_min_or_longer and occurring_at_different_intervals_not_daily and severe_enough_to_interrupt_activities_or_ed_visit and not_significantly_related_to_bowel_movements and not_significantly_relieved_by_postural_change_or_acid_suppression and enzymes_xor_dilated and absence_of_bile_duct_stones_or_other_structural_abnormalities; enzymes_xor_dilated is (elevated_liver_enzymes and not dilated_bile_duct) or (dilated_bile_duct and not elevated_liver_enzymes); normal_amylase_lipase, abnormal_sphincter_of_oddi_manometry, and hepatobiliary_scintigraphy are supportive and not required (Cotton 2016 Rome IV E1b)",
  "criteria": [
    {
      "factor": "epigastric_or_ruq_pain",
      "met": true
    },
    {
      "factor": "builds_to_steady_level_lasts_30_min_or_longer",
      "met": true
    },
    {
      "factor": "occurring_at_different_intervals_not_daily",
      "met": true
    },
    {
      "factor": "severe_enough_to_interrupt_activities_or_ed_visit",
      "met": true
    },
    {
      "factor": "not_significantly_related_to_bowel_movements",
      "met": true
    },
    {
      "factor": "not_significantly_relieved_by_postural_change_or_acid_suppression",
      "met": true
    },
    {
      "value": {
        "dilated_bile_duct": false,
        "elevated_liver_enzymes": true
      },
      "factor": "elevated_liver_enzymes_xor_dilated_bile_duct",
      "met": true
    },
    {
      "factor": "absence_of_bile_duct_stones_or_other_structural_abnormalities",
      "met": true
    },
    {
      "factor": "normal_amylase_lipase",
      "met": true
    },
    {
      "factor": "abnormal_sphincter_of_oddi_manometry",
      "met": true
    },
    {
      "factor": "hepatobiliary_scintigraphy",
      "met": true
    }
  ],
  "dilated_bile_duct": false,
  "elevated_liver_enzymes": true,
  "abnormal_sphincter_of_oddi_manometry": true,
  "hepatobiliary_scintigraphy": true,
  "normal_amylase_lipase": true,
  "rome_iv_biliary_sod": true
}
```

## Errors

- HTTP 400 `invalid_rome_iv_biliary_sod`: Rome IV biliary SOD needs the Cotton 2016 E1b biliary-pain, enzyme-or-duct, and structural-exclusion flags. 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

- [Rome IV biliary pain](https://magentlab.com/docs/rome-iv-biliary-pain) — Apply the Cotton 2016 Rome IV E1 diagnostic criteria for biliary pain and return whether the published biliary-pain box holds (rome_iv_biliary_pain) plus three supportive flags.
- [Rome IV pancreatic SOD](https://magentlab.com/docs/rome-iv-pancreatic-sod) — Apply the Cotton 2016 Rome IV E2 pancreatic sphincter of Oddi disorder diagnostic criteria and return whether the published pancreatic SOD box holds (rome_iv_pancreatic_sod).

## 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.