# Services from sovereign-x402-zeta.vercel.app on Zero > sovereign-x402-zeta.vercel.app serves 30 paid API services for AI agents, indexed by Zero. Each is callable per call with payment handled by Zero. Canonical page: https://www.zero.xyz/host/sovereign-x402-zeta.vercel.app Live health (JSON, refreshed every minute): https://www.zero.xyz/host/sovereign-x402-zeta.vercel.app/health.json ## Services - [E2B Cloud Python Sandbox Executor](https://www.zero.xyz/c/e2b-cloud-python-sandbox-executor-e40611ab/llms.txt): $0.02/call via x402. Executes arbitrary Python code in a real, isolated E2B cloud sandbox and returns stdout, stderr, and results. - [Sovereign X402 Email Send (Resend)](https://www.zero.xyz/c/sovereign-x402-email-send-resend-e91ebafd/llms.txt): $0.005/call via x402. Sends a plain-text or HTML email via the Resend email delivery service. - [Qdrant Vector Upsert via Sovereign X402](https://www.zero.xyz/c/qdrant-vector-upsert-via-sovereign-x402-ccfa5401/llms.txt): $0.005/call via x402. Upsert (insert or update) vector points into a Qdrant collection, auto-creating the collection if it does not yet exist. - [Sovereign X402 Web Scraper (Firecrawl-backed)](https://www.zero.xyz/c/sovereign-x402-web-scraper-firecrawl-backed-c1cc739b/llms.txt): $0.01/call via x402. Scrapes a given URL and returns its content as clean Markdown, powered by Firecrawl under the hood, accessible via x402 micropayment at $0.01 USDC per call. - [Pinecone Vector Query via Sovereign x402](https://www.zero.xyz/c/pinecone-vector-query-via-sovereign-x402-aa18f972/llms.txt): $0.003/call via x402. Query a Pinecone index to retrieve the nearest neighbor vectors to a given query vector using cosine or other similarity metrics. - [Qdrant Vector Collection Query](https://www.zero.xyz/c/qdrant-vector-collection-query-f2f4fc64/llms.txt): $0.003/call via x402. Query a Qdrant vector collection to find the nearest neighbor points to a given query vector. - [GitHub Repository File Fetcher](https://www.zero.xyz/c/github-repository-file-fetcher-e1ae5490/llms.txt): $0.002/call via x402. Fetches the raw contents of a file from a GitHub repository at a specified ref (branch, tag, or commit). - [Sovereign X402 AI Chat Completions](https://www.zero.xyz/c/sovereign-x402-ai-chat-completions-ff42edd7/llms.txt): $0.005/call via x402. Pay-per-request AI chat completions API accepting USDC on Base via x402 protocol at $0.005 per call - [Roman Numeral Converter](https://www.zero.xyz/c/roman-numeral-converter-03ab4fed/llms.txt): $0.001/call via x402. Converts a given integer to its Roman numeral string representation - [Euler Totient Function Calculator](https://www.zero.xyz/c/euler-totient-function-calculator-27b5df64/llms.txt): $0.001/call via x402. Computes Euler's totient function φ(n) — the count of positive integers up to n that are coprime to n — for a given positive integer. - [Pinecone Vector Upsert via Sovereign x402](https://www.zero.xyz/c/pinecone-vector-upsert-via-sovereign-x402-8a93d15d/llms.txt): $0.005/call via x402. Upserts (inserts or updates) vectors into an existing Pinecone index, paid per call via x402 micropayment. - [Hamming Weight Calculator](https://www.zero.xyz/c/hamming-weight-calculator-fa190736/llms.txt): $0.001/call via x402. Calculates the Hamming weight (popcount) of a non-negative integer — i.e., the number of 1-bits in its binary representation. - [Mersenne Prime Checker](https://www.zero.xyz/c/mersenne-prime-checker-fbbb754f/llms.txt): $0.001/call via x402. Checks whether a given exponent p produces a Mersenne prime (2^p - 1). - [Prime Factorization API](https://www.zero.xyz/c/prime-factorization-api-1fb7a676/llms.txt): $0.001/call via x402. Decomposes a given integer into its prime factors via a paid HTTP endpoint. - [Fibonacci Pair Generator](https://www.zero.xyz/c/fibonacci-pair-generator-93b63de1/llms.txt): $0.001/call via x402. Given a starting Fibonacci pair (a, b), computes and returns the next pair in the sequence. - [GLM Text Summarizer](https://www.zero.xyz/c/glm-text-summarizer-4775d8eb/llms.txt): $0.002/call via x402. Generates a concise summary of a given text using the GLM chat model via a paid x402 API endpoint. - [Twin Prime Pair Generator](https://www.zero.xyz/c/twin-prime-pair-generator-9b06fe7b/llms.txt): $0.001/call via x402. Generates all twin prime pairs (p, p+2) where both numbers are prime, up to a specified upper limit. - [Collatz Sequence Generator](https://www.zero.xyz/c/collatz-sequence-generator-cf43b842/llms.txt): $0.001/call via x402. Generates the Collatz sequence (3n+1 sequence) for a given starting number up to a specified limit. - [Sequence Permutations Generator](https://www.zero.xyz/c/sequence-permutations-generator-dcf642cf/llms.txt): $0.002/call via x402. Generates all permutations of a given input sequence via a paid API endpoint. - [Prime Number Sequence Generator](https://www.zero.xyz/c/prime-number-sequence-generator-06212501/llms.txt): $0.001/call via x402. Generates a list of all prime numbers up to a specified upper limit. - [Prime Number Checker](https://www.zero.xyz/c/prime-number-checker-3c188418/llms.txt): $0.001/call via x402. Checks whether a given number is prime via a paid HTTP API endpoint. - [Catalan Number Calculator](https://www.zero.xyz/c/catalan-number-calculator-f22eb45d/llms.txt): $0.001/call via x402. Computes the nth Catalan number given a non-negative integer index n - [GCD Calculator (Greatest Common Divisor)](https://www.zero.xyz/c/gcd-calculator-greatest-common-divisor-90309902/llms.txt): $0.001/call via x402. Computes the greatest common divisor (GCD) of two integers via a paid API endpoint. - [Even Number Sequence Generator](https://www.zero.xyz/c/even-number-sequence-generator-0ee750c1/llms.txt): $0.001/call via x402. Generates a list of even numbers up to a specified limit. - [Odd Number Sequence Generator](https://www.zero.xyz/c/odd-number-sequence-generator-5bf2e2b1/llms.txt): $0.001/call via x402. Generates a list of odd numbers up to a specified limit. - [Fibonacci Sequence Calculator](https://www.zero.xyz/c/fibonacci-sequence-calculator-9e2a16dc/llms.txt): $0.001/call via x402. Calculates the Fibonacci sequence up to a specified number of terms (N) and returns the full sequence. - [Palindrome Number Checker](https://www.zero.xyz/c/palindrome-number-checker-ace869c0/llms.txt): $0.001/call via x402. Checks whether a given number is a palindrome (reads the same forwards and backwards). - [Harmonic Number Sequence Generator](https://www.zero.xyz/c/harmonic-number-sequence-generator-54ca222f/llms.txt): $0.001/call via x402. Generates a list of harmonic numbers (partial sums 1 + 1/2 + ... + 1/k for k=1..n) up to a specified limit n - [Integer to Hexadecimal Converter](https://www.zero.xyz/c/integer-to-hexadecimal-converter-e9e27927/llms.txt): $0.001/call via x402. Converts a non-negative integer to its hexadecimal string representation - [Sovereign X402 Handshake Sequence Generator](https://www.zero.xyz/c/sovereign-x402-handshake-sequence-generator-6c996827/llms.txt): $0.001/call via x402. Generates a random handshake sequence of numbers and symbols suitable for secure connection initialization. Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently. - [Zero catalog index](https://www.zero.xyz/llms.txt)