wolframalpha.com

You are an AI coding agent tasked with fixing GEO (Generative Engine Optimization) gaps on wolframalpha.com, a Next.js (App/Pages Router, styled-components) site. Implement these fixes and verify each: (1) Add a functional sitemap: create app/sitemap.ts or pages/sitemap.xml generating a valid XML sitemap at /sitemap.xml referencing core routes (/, /examples, /examples/math, /about, /pro) — confirm with `curl -sL https://www.wolframalpha.com/sitemap.xml | head -c 100` returns `<?xml`. (2) Inject JSON-LD: add a Script type="application/ld+json" with an Organization schema (name: Wolfram|Alpha, url: https://www.wolframalpha.com, sameAs: [Wikipedia, Twitter]) and a WebSite schema with potentialAction SearchAction targeting the query URL pattern, on the homepage; add FAQPage schema to at least /examples/math. (3) Add rel=canonical to every page pointing to the www canonical URL. (4) Create llms.txt at the root describing the service, key query URL format (https://www.wolframalpha.com/input?i=<query>), API docs location, and examples index; create a short skill.md and agents.md. (5) Update robots.txt: keep training crawler blocks if desired but add explicit `User-agent: OAI-SearchBot / Allow: /` and `User-agent: PerplexityBot / Allow: /` groups so AI search engines can index. (6) Add an H1 and a 40-70 word BLUF paragraph directly under it on the homepage summarizing the value proposition with at least one verifiable statistic. Verify JSON-LD renders by fetching the page and grepping for application/ld+json, and confirm robots.txt/sitemap/llms.txt return non-HTML content types.