GPT-5 Achieves Math Breakthrough

Welcome to another edition of AI PlanetX.

GPT-5 delivers a groundbreaking math breakthrough; Google expands AI Mode with agentic capabilities; Meta halts hiring after rapidly growing its AI division.

• Hottest AI News

• Top AI & SaaS Tools

• AI Tutorial: Create Custom AI Tool

• Top AI & Tech News

• AI Art Spotlight

• Prompt of the Day: Find AI Business Ideas Prompt

• AI Video Tutorial

• Course of the Day: MCP with Python by Microsoft

Hottest AI News

OpenAI

GPT-5 Delivers Mathematical Breakthrough That Changes Everything

We've reached a watershed moment in AI capabilities. For the first time, an AI system has independently proven new mathematics that advances human knowledge. This isn't about solving textbook problems or verifying existing work—GPT-5-Pro just contributed original research-level mathematics.

Details:

• Sebastien Bubeck challenged GPT-5-Pro with an open problem in convex optimization. The paper showed gradient descent works up to 1/L, gave counterexamples above 1.75/L, but left the gap unsolved. This was a clean frontier question human experts hadn’t cracked

• GPT-5-Pro spent 17 minutes reasoning and produced a proof extending the bound to 1.5/L. Bubeck verified the result, confirming it was correct and a real mathematical advance. The proof built on the paper’s methods, showing true reasoning

• The timing shows this was discovery, not recall. Humans later closed the gap at 1.75/L with a different proof. GPT-5’s work was independent and advanced knowledge before the full solution appeared, progress worthy of publication

AI is shifting from tool to collaborator. Machines aren’t just doing math—they’re pushing human knowledge forward. The era of AI-driven discovery has begun.

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DeepMind

Google Expands AI Mode Globally with Agentic Capabilities

Google is making a major push to transform how we search and interact with information online. The tech giant announced a significant expansion of its AI Mode feature, bringing conversational search capabilities to users worldwide while introducing functionalities that go beyond traditional search.

Details:

• Google is expanding AI Mode to 180 countries in English, up from just the U.S., U.K., and India. More languages and regions are planned, giving people worldwide the ability to ask questions and follow-ups in Google Search

• A standout feature is AI Mode’s agentic abilities, starting with restaurant reservations. Users can specify details like party size, date, time, location, and cuisine, and the system searches across booking platforms for live availability. This is available to Google AI Ultra subscribers

• AI Mode also delivers results tailored to personal habits, beginning with dining topics for U.S. users in the experiment. It factors in past conversations, search history, and activity in Maps to refine suggestions — for example, showing Italian spots with outdoor seating if that matches prior choices

As AI Mode gains agentic capabilities, it could transform how we handle daily decisions from dining to travel, making AI a more practical collaborative partner.

Top AI & SaaS Tools

• Bestever (Life-time Deal): AI ad creation platform that analyzes competitor ads and your performance data to generate high-performing, on-brand video and image ads

• Gizmo App: Create tiny interactive phone apps with photos, text and touch—no coding. Snap, tap, remix and share playful mini‑experiences [F-R-E-E]

• Syncly Social: AI video social listening for TikTok that captures in-video conversations to spot trends, analyze competitor strategies, and discover authentic influencers [F-R-E-E Trial]

• MovieFlo: Unified script-to-video workflow that rapidly creates high-quality, branded videos with consistent actors and product placement

• Google Guided Learning: Transform AI into a personalized learning companion that guides learners step-by-step with questions, multimodal content, and pedagogically informed prompts (select Tools > Guided Learning) [F-R-E-E]

Used by Execs at Google and OpenAI

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AI Tutorial

How to Create a Custom AI Tool in Claude Using Artifacts

Claude Artifacts just launched API integration, letting you create custom AI tools directly inside Claude. You can design text areas, buttons, and features without touching setup or backend code. This tutorial shows you how to build, test, and save your first artifact step by step.

1. Open Artifacts

   On Claude’s left sidebar, select the “Artifacts” option to enter the workspace where your custom tools are stored. This is the central place to build, test, and organize your AI-powered apps.

2. Create Artifact

   Press "New artifact" and then start from scratch to begin a fresh project. This gives you a blank workspace where you can describe the type of tool you’d like Claude to build.

3. Describe the Tool

   In the prompt area, write out what you want. For example:

   "Create a grammar AI checker with two text areas (Original vs Fixed text) and a 'Fix Grammar' button."

   Make sure to be clear about the structure, inputs, and outputs.

4. Generate First Version

   Submit the prompt and let Claude produce the first draft of your tool. A live preview appears in the artifacts window, allowing you to review whether the layout and functions match your description.

5. Add Enhancements

   Improve the tool by requesting more features. For example:

   "Add word count and change highlighting for differences between original and fixed text."

   You can continue layering in features until it suits your workflow.

6. Test with Example Text

   Paste in a short paragraph containing grammar issues. Use the “Fix Grammar” button and review the corrected version in the second text area. Check that the word count works and the highlighting displays clearly.

7. Refine and Personalize

   If you want further adjustments—like tone analysis, readability checks, or visual changes—provide an updated prompt. Claude will modify the artifact based on your refinements until it matches your needs.

8. Save to Library

   When you’re satisfied, store the tool in your artifacts library. Give it a meaningful name (e.g., “Grammar Fixer + Word Count”) along with a short description so you can easily find and reuse it later.

Tip: Every artifact you design here operates through Claude’s API in the background. You don’t have to set up hosting, manage API keys, or write backend code.

Top AI & Tech News

• Meta has instituted a hiring freeze within its AI division after an intense hiring spree that added more than 50 AI researchers and engineers

• ByteDance’s Seed Team released Seed-OSS-36B, a family of 36-billion-parameter open-source LLMs (Apache-2.0) on Hugging Face

• NASA and IBM released Surya, an AI model trained on nine years of solar data that accurately predicts solar flares and space weather

• Sam Altman said at last week’s dinner that GPT-6 will focus on memory and will arrive sooner than the gap between GPT-4 and GPT-5

AI Art Spotlight

Model: Midjourney V7

Prompt:

tudio close-up, rear view of a full medieval knight armor set made of transparent crystal glass, inside filled with blooming roses in soft pastel colors, ultra-realistic textures, intricate floral details visible through the glass plates, clean minimal background, cinematic soft light, shallow depth of field --chaos 5 --ar 9:16 --raw --profile 55afk3b n5l8rhn --stylize 50 --v 7

Prompt of the Day

Find AI Business Ideas Prompt

This prompt transforms your industry experience into profitable AI automation ideas by systematically identifying workplace pain points you've encountered in your career. Simply input your industry and the prompt guides you through analyzing 3-5 critical problems, their current manual processes, business impact, and implementation needs.

Top AI Video Tutorial

This will replace Photoshop... And it's F-R-E-E!

Complimentary AI Course of the Day

Let's Learn MCP with Python by Microsoft

This course teaches Python developers to build and deploy Model Context Protocol (MCP) servers through two hands-on projects: a "Python Study Buddy" that adapts lessons for all skill levels, and an "AI Research Learning MCP Server" that indexes papers, highlights findings, and creates study plans—covering MCP basics, server design, context management, security, testing, and deployment.