# DLMF NIST Math Functions Scraper (`jungle_synthesizer/dlmf-nist-math-functions-scraper`) Actor

Scrapes the NIST Digital Library of Mathematical Functions (DLMF) for structured equation data: MathML, LaTeX source, constraints, and referenced functions — across all 36 chapters and hundreds of sections.

- **URL**: https://apify.com/jungle\_synthesizer/dlmf-nist-math-functions-scraper.md
- **Developed by:** [BowTiedRaccoon](https://apify.com/jungle_synthesizer) (community)
- **Categories:** AI, Developer tools
- **Stats:** 2 total users, 1 monthly users, 100.0% runs succeeded, 0 bookmarks
- **User rating**: No ratings yet

## Pricing

Pay per event

This Actor is paid per event. You are not charged for the Apify platform usage, but only a fixed price for specific events.
Since this Actor supports Apify Store discounts, the price gets lower the higher subscription plan you have.

Learn more: https://docs.apify.com/platform/actors/running/actors-in-store#pay-per-event

## What's an Apify Actor?

Actors are a software tools running on the Apify platform, for all kinds of web data extraction and automation use cases.
In Batch mode, an Actor accepts a well-defined JSON input, performs an action which can take anything from a few seconds to a few hours,
and optionally produces a well-defined JSON output, datasets with results, or files in key-value store.
In Standby mode, an Actor provides a web server which can be used as a website, API, or an MCP server.
Actors are written with capital "A".

## How to integrate an Actor?

If asked about integration, you help developers integrate Actors into their projects.
You adapt to their stack and deliver integrations that are safe, well-documented, and production-ready.
The best way to integrate Actors is as follows.

In JavaScript/TypeScript projects, use official [JavaScript/TypeScript client](https://docs.apify.com/api/client/js.md):

```bash
npm install apify-client
```

In Python projects, use official [Python client library](https://docs.apify.com/api/client/python.md):

```bash
pip install apify-client
```

In shell scripts, use [Apify CLI](https://docs.apify.com/cli/docs.md):

````bash
# MacOS / Linux
curl -fsSL https://apify.com/install-cli.sh | bash
# Windows
irm https://apify.com/install-cli.ps1 | iex
```bash

In AI frameworks, you might use the [Apify MCP server](https://docs.apify.com/platform/integrations/mcp.md).

If your project is in a different language, use the [REST API](https://docs.apify.com/api/v2.md).

For usage examples, see the [API](#api) section below.

For more details, see Apify documentation as [Markdown index](https://docs.apify.com/llms.txt) and [Markdown full-text](https://docs.apify.com/llms-full.txt).


# README

## DLMF NIST Math Functions Scraper

Scrapes the [NIST Digital Library of Mathematical Functions](https://dlmf.nist.gov/) (DLMF) — the authoritative reference for special functions in mathematics and physics — to produce a structured, machine-readable corpus of numbered equations with MathML, LaTeX source, and associated metadata.

### What it does

The actor performs a three-level hierarchical crawl:

1. **Index** — discovers all 36 DLMF chapters from the homepage
2. **Chapter pages** — discovers all sections within each chapter (typically 10–20 sections)
3. **Section pages** — extracts every numbered equation including MathML, LaTeX TeX source, plain-text rendering, referenced symbols, and the canonical permalink

Across all 36 chapters the DLMF contains approximately **5,000–10,000 numbered equations**. A full crawl completes in minutes at the default concurrency.

### Output fields

| Field | Description |
|-------|-------------|
| `chapter` | Chapter number (integer, 1–36) |
| `section` | Section identifier, e.g. `1.2` |
| `title` | Section title, e.g. `Elementary Algebra` |
| `equation_number` | DLMF equation number, e.g. `1.2.1` |
| `equation_mathml` | Full MathML XML for the equation |
| `equation_tex` | LaTeX source recovered from MathML `alttext` attribute |
| `equation_text` | Unicode plain-text rendering of the equation |
| `constraints` | Constraint text associated with the equation (if any) |
| `referenced_functions` | Pipe-separated list of symbol/function names referenced |
| `url` | Canonical DLMF permalink, e.g. `http://dlmf.nist.gov/1.2.E1` |

### Use cases

- **Symbolic math / CAS training data** — verified special-function formulas with LaTeX and MathML
- **RAG / vector search corpora** — ground-truth equation database for scientific-computing AI agents
- **Formula search engines** — structured index of equations by chapter/section with canonical IDs
- **Verification datasets** — NIST-authoritative identities for function evaluations

### Input parameters

| Parameter | Type | Default | Description |
|-----------|------|---------|-------------|
| `maxItems` | integer | 10 | Maximum number of equations to scrape (0 = unlimited) |
| `startChapter` | integer | 1 | First chapter to crawl (1–36) |
| `endChapter` | integer | 36 | Last chapter to crawl (1–36, omit for all) |

### Example output record

```json
{
  "chapter": 1,
  "section": "1.2",
  "title": "Elementary Algebra",
  "equation_number": "1.2.1",
  "equation_tex": "\\genfrac{(}{)}{0.0pt}{}{n}{k}=\\frac{n!}{(n-k)!k!}",
  "equation_text": "(nk)=n!/(n−k)!⁢k!",
  "constraints": "",
  "referenced_functions": "(mn): binomial coefficient | !: factorial (as in n!) | n:  nonnegative integer",
  "url": "http://dlmf.nist.gov/1.2.E1"
}
````

### Notes

- The DLMF is a US government publication (NIST). Content is in the public domain.
- No proxy required — dlmf.nist.gov is a clean US gov host with no anti-bot measures.
- Chapter 1 alone contains ~180 equations across 18 sections. Full 36-chapter run yields ~5,000+ records.
- Sections containing only notation tables (no numbered equations) return 0 results — this is expected.

# Actor input Schema

## `sp_intended_usage` (type: `string`):

Please describe how you plan to use the data extracted by this crawler.

## `sp_improvement_suggestions` (type: `string`):

Provide any feedback or suggestions for improvements.

## `sp_contact` (type: `string`):

Provide your email address so we can get in touch with you.

## `maxItems` (type: `integer`):

Maximum number of equations to scrape (0 = unlimited)

## `startChapter` (type: `integer`):

Chapter number to start from (1-36). Defaults to 1.

## `endChapter` (type: `integer`):

Chapter number to stop at (1-36). Defaults to all chapters.

## Actor input object example

```json
{
  "sp_intended_usage": "Describe your intended use...",
  "sp_improvement_suggestions": "Share your suggestions here...",
  "sp_contact": "Share your email here...",
  "maxItems": 10,
  "startChapter": 1
}
```

# Actor output Schema

## `results` (type: `string`):

No description

# API

You can run this Actor programmatically using our API. Below are code examples in JavaScript, Python, and CLI, as well as the OpenAPI specification and MCP server setup.

## JavaScript example

```javascript
import { ApifyClient } from 'apify-client';

// Initialize the ApifyClient with your Apify API token
// Replace the '<YOUR_API_TOKEN>' with your token
const client = new ApifyClient({
    token: '<YOUR_API_TOKEN>',
});

// Prepare Actor input
const input = {
    "sp_intended_usage": "Describe your intended use...",
    "sp_improvement_suggestions": "Share your suggestions here...",
    "sp_contact": "Share your email here...",
    "maxItems": 10,
    "startChapter": 1
};

// Run the Actor and wait for it to finish
const run = await client.actor("jungle_synthesizer/dlmf-nist-math-functions-scraper").call(input);

// Fetch and print Actor results from the run's dataset (if any)
console.log('Results from dataset');
console.log(`💾 Check your data here: https://console.apify.com/storage/datasets/${run.defaultDatasetId}`);
const { items } = await client.dataset(run.defaultDatasetId).listItems();
items.forEach((item) => {
    console.dir(item);
});

// 📚 Want to learn more 📖? Go to → https://docs.apify.com/api/client/js/docs

```

## Python example

```python
from apify_client import ApifyClient

# Initialize the ApifyClient with your Apify API token
# Replace '<YOUR_API_TOKEN>' with your token.
client = ApifyClient("<YOUR_API_TOKEN>")

# Prepare the Actor input
run_input = {
    "sp_intended_usage": "Describe your intended use...",
    "sp_improvement_suggestions": "Share your suggestions here...",
    "sp_contact": "Share your email here...",
    "maxItems": 10,
    "startChapter": 1,
}

# Run the Actor and wait for it to finish
run = client.actor("jungle_synthesizer/dlmf-nist-math-functions-scraper").call(run_input=run_input)

# Fetch and print Actor results from the run's dataset (if there are any)
print("💾 Check your data here: https://console.apify.com/storage/datasets/" + run["defaultDatasetId"])
for item in client.dataset(run["defaultDatasetId"]).iterate_items():
    print(item)

# 📚 Want to learn more 📖? Go to → https://docs.apify.com/api/client/python/docs/quick-start

```

## CLI example

```bash
echo '{
  "sp_intended_usage": "Describe your intended use...",
  "sp_improvement_suggestions": "Share your suggestions here...",
  "sp_contact": "Share your email here...",
  "maxItems": 10,
  "startChapter": 1
}' |
apify call jungle_synthesizer/dlmf-nist-math-functions-scraper --silent --output-dataset

```

## MCP server setup

```json
{
    "mcpServers": {
        "apify": {
            "command": "npx",
            "args": [
                "mcp-remote",
                "https://mcp.apify.com/?tools=jungle_synthesizer/dlmf-nist-math-functions-scraper",
                "--header",
                "Authorization: Bearer <YOUR_API_TOKEN>"
            ]
        }
    }
}

```

## OpenAPI specification

```json
{
    "openapi": "3.0.1",
    "info": {
        "title": "DLMF NIST Math Functions Scraper",
        "description": "Scrapes the NIST Digital Library of Mathematical Functions (DLMF) for structured equation data: MathML, LaTeX source, constraints, and referenced functions — across all 36 chapters and hundreds of sections.\n",
        "version": "0.1",
        "x-build-id": "r5SRwG2vGR8Fl7DME"
    },
    "servers": [
        {
            "url": "https://api.apify.com/v2"
        }
    ],
    "paths": {
        "/acts/jungle_synthesizer~dlmf-nist-math-functions-scraper/run-sync-get-dataset-items": {
            "post": {
                "operationId": "run-sync-get-dataset-items-jungle_synthesizer-dlmf-nist-math-functions-scraper",
                "x-openai-isConsequential": false,
                "summary": "Executes an Actor, waits for its completion, and returns Actor's dataset items in response.",
                "tags": [
                    "Run Actor"
                ],
                "requestBody": {
                    "required": true,
                    "content": {
                        "application/json": {
                            "schema": {
                                "$ref": "#/components/schemas/inputSchema"
                            }
                        }
                    }
                },
                "parameters": [
                    {
                        "name": "token",
                        "in": "query",
                        "required": true,
                        "schema": {
                            "type": "string"
                        },
                        "description": "Enter your Apify token here"
                    }
                ],
                "responses": {
                    "200": {
                        "description": "OK"
                    }
                }
            }
        },
        "/acts/jungle_synthesizer~dlmf-nist-math-functions-scraper/runs": {
            "post": {
                "operationId": "runs-sync-jungle_synthesizer-dlmf-nist-math-functions-scraper",
                "x-openai-isConsequential": false,
                "summary": "Executes an Actor and returns information about the initiated run in response.",
                "tags": [
                    "Run Actor"
                ],
                "requestBody": {
                    "required": true,
                    "content": {
                        "application/json": {
                            "schema": {
                                "$ref": "#/components/schemas/inputSchema"
                            }
                        }
                    }
                },
                "parameters": [
                    {
                        "name": "token",
                        "in": "query",
                        "required": true,
                        "schema": {
                            "type": "string"
                        },
                        "description": "Enter your Apify token here"
                    }
                ],
                "responses": {
                    "200": {
                        "description": "OK",
                        "content": {
                            "application/json": {
                                "schema": {
                                    "$ref": "#/components/schemas/runsResponseSchema"
                                }
                            }
                        }
                    }
                }
            }
        },
        "/acts/jungle_synthesizer~dlmf-nist-math-functions-scraper/run-sync": {
            "post": {
                "operationId": "run-sync-jungle_synthesizer-dlmf-nist-math-functions-scraper",
                "x-openai-isConsequential": false,
                "summary": "Executes an Actor, waits for completion, and returns the OUTPUT from Key-value store in response.",
                "tags": [
                    "Run Actor"
                ],
                "requestBody": {
                    "required": true,
                    "content": {
                        "application/json": {
                            "schema": {
                                "$ref": "#/components/schemas/inputSchema"
                            }
                        }
                    }
                },
                "parameters": [
                    {
                        "name": "token",
                        "in": "query",
                        "required": true,
                        "schema": {
                            "type": "string"
                        },
                        "description": "Enter your Apify token here"
                    }
                ],
                "responses": {
                    "200": {
                        "description": "OK"
                    }
                }
            }
        }
    },
    "components": {
        "schemas": {
            "inputSchema": {
                "type": "object",
                "required": [
                    "maxItems"
                ],
                "properties": {
                    "sp_intended_usage": {
                        "title": "What is the intended usage of this data?",
                        "minLength": 1,
                        "type": "string",
                        "description": "Please describe how you plan to use the data extracted by this crawler."
                    },
                    "sp_improvement_suggestions": {
                        "title": "How can we improve this crawler for you?",
                        "minLength": 1,
                        "type": "string",
                        "description": "Provide any feedback or suggestions for improvements."
                    },
                    "sp_contact": {
                        "title": "Contact Email",
                        "minLength": 1,
                        "type": "string",
                        "description": "Provide your email address so we can get in touch with you."
                    },
                    "maxItems": {
                        "title": "Max Items",
                        "type": "integer",
                        "description": "Maximum number of equations to scrape (0 = unlimited)"
                    },
                    "startChapter": {
                        "title": "Start Chapter",
                        "type": "integer",
                        "description": "Chapter number to start from (1-36). Defaults to 1."
                    },
                    "endChapter": {
                        "title": "End Chapter",
                        "type": "integer",
                        "description": "Chapter number to stop at (1-36). Defaults to all chapters."
                    }
                }
            },
            "runsResponseSchema": {
                "type": "object",
                "properties": {
                    "data": {
                        "type": "object",
                        "properties": {
                            "id": {
                                "type": "string"
                            },
                            "actId": {
                                "type": "string"
                            },
                            "userId": {
                                "type": "string"
                            },
                            "startedAt": {
                                "type": "string",
                                "format": "date-time",
                                "example": "2025-01-08T00:00:00.000Z"
                            },
                            "finishedAt": {
                                "type": "string",
                                "format": "date-time",
                                "example": "2025-01-08T00:00:00.000Z"
                            },
                            "status": {
                                "type": "string",
                                "example": "READY"
                            },
                            "meta": {
                                "type": "object",
                                "properties": {
                                    "origin": {
                                        "type": "string",
                                        "example": "API"
                                    },
                                    "userAgent": {
                                        "type": "string"
                                    }
                                }
                            },
                            "stats": {
                                "type": "object",
                                "properties": {
                                    "inputBodyLen": {
                                        "type": "integer",
                                        "example": 2000
                                    },
                                    "rebootCount": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "restartCount": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "resurrectCount": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "computeUnits": {
                                        "type": "integer",
                                        "example": 0
                                    }
                                }
                            },
                            "options": {
                                "type": "object",
                                "properties": {
                                    "build": {
                                        "type": "string",
                                        "example": "latest"
                                    },
                                    "timeoutSecs": {
                                        "type": "integer",
                                        "example": 300
                                    },
                                    "memoryMbytes": {
                                        "type": "integer",
                                        "example": 1024
                                    },
                                    "diskMbytes": {
                                        "type": "integer",
                                        "example": 2048
                                    }
                                }
                            },
                            "buildId": {
                                "type": "string"
                            },
                            "defaultKeyValueStoreId": {
                                "type": "string"
                            },
                            "defaultDatasetId": {
                                "type": "string"
                            },
                            "defaultRequestQueueId": {
                                "type": "string"
                            },
                            "buildNumber": {
                                "type": "string",
                                "example": "1.0.0"
                            },
                            "containerUrl": {
                                "type": "string"
                            },
                            "usage": {
                                "type": "object",
                                "properties": {
                                    "ACTOR_COMPUTE_UNITS": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "DATASET_READS": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "DATASET_WRITES": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "KEY_VALUE_STORE_READS": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "KEY_VALUE_STORE_WRITES": {
                                        "type": "integer",
                                        "example": 1
                                    },
                                    "KEY_VALUE_STORE_LISTS": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "REQUEST_QUEUE_READS": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "REQUEST_QUEUE_WRITES": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "DATA_TRANSFER_INTERNAL_GBYTES": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "DATA_TRANSFER_EXTERNAL_GBYTES": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "PROXY_RESIDENTIAL_TRANSFER_GBYTES": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "PROXY_SERPS": {
                                        "type": "integer",
                                        "example": 0
                                    }
                                }
                            },
                            "usageTotalUsd": {
                                "type": "number",
                                "example": 0.00005
                            },
                            "usageUsd": {
                                "type": "object",
                                "properties": {
                                    "ACTOR_COMPUTE_UNITS": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "DATASET_READS": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "DATASET_WRITES": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "KEY_VALUE_STORE_READS": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "KEY_VALUE_STORE_WRITES": {
                                        "type": "number",
                                        "example": 0.00005
                                    },
                                    "KEY_VALUE_STORE_LISTS": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "REQUEST_QUEUE_READS": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "REQUEST_QUEUE_WRITES": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "DATA_TRANSFER_INTERNAL_GBYTES": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "DATA_TRANSFER_EXTERNAL_GBYTES": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "PROXY_RESIDENTIAL_TRANSFER_GBYTES": {
                                        "type": "integer",
                                        "example": 0
                                    },
                                    "PROXY_SERPS": {
                                        "type": "integer",
                                        "example": 0
                                    }
                                }
                            }
                        }
                    }
                }
            }
        }
    }
}
```
