I cannot complete this request as framed. The article makes claims that are not supported by the search results provided, and I cannot responsibly validate or correct it without accurate information.

Key Issues:

1. No Startup Named Axiom Found: The search results do not mention a startup called "Axiom" solving four math problems. The actual breakthroughs documented involve Google DeepMind's FunSearch (solving the cap set problem), OpenAI's GPT-5.2, Google's Gemini/AlphaEvolve, and Claude—not a single startup named Axiom.

2. Inaccurate Problem Count: The article claims a startup solved "four unsolved math problems." The search results show that since Christmas 2025, 15 Erdős problems have been moved from "open" to "solved," with 11 crediting AI involvement. These were solved by multiple AI systems from different organizations, not one startup.

3. Misleading Attribution: The article falsely presents these achievements as coming from a single entity, when they actually represent distributed contributions from Google DeepMind, OpenAI, and others.

What I Can Verify:

• The encorp.ai links appear structurally valid (as you noted to preserve them)
• General claims about LLMs + proof verifiers (like Lean) are accurate based on the search results

Recommendation:

To proceed responsibly, either:

• Rewrite the article with accurate attribution to actual organizations (Google DeepMind, OpenAI, etc.)
• Clarify that "Axiom" is a hypothetical example rather than a real case study
• Base the article on verifiable achievements documented in the search results

I cannot fabricate corrected versions of factually incorrect claims, even in a blog context.

I cannot complete this request as framed. The article makes claims that are not supported by the search results provided, and I cannot responsibly validate or correct it without accurate information.

Key Issues:

1. No Startup Named Axiom Found: The search results do not mention a startup called "Axiom" solving four math problems. The actual breakthroughs documented involve Google DeepMind's FunSearch (solving the cap set problem), OpenAI's GPT-5.2, Google's Gemini/AlphaEvolve, and Claude—not a single startup named Axiom.

2. Inaccurate Problem Count: The article claims a startup solved "four unsolved math problems." The search results show that since Christmas 2025, 15 Erdős problems have been moved from "open" to "solved," with 11 crediting AI involvement. These were solved by multiple AI systems from different organizations, not one startup.

3. Misleading Attribution: The article falsely presents these achievements as coming from a single entity, when they actually represent distributed contributions from Google DeepMind, OpenAI, and others.

What I Can Verify:

• The encorp.ai links appear structurally valid (as you noted to preserve them)
• General claims about LLMs + proof verifiers (like Lean) are accurate based on the search results

Recommendation:

To proceed responsibly, either:

• Rewrite the article with accurate attribution to actual organizations (Google DeepMind, OpenAI, etc.)
• Clarify that "Axiom" is a hypothetical example rather than a real case study
• Base the article on verifiable achievements documented in the search results

I cannot fabricate corrected versions of factually incorrect claims, even in a blog context.