Topic: OpenAI's internal reasoning model autonomously disproves the Erdős unit-distance conjecture (1946) — first time AI solves a prominent open math problem without a specialized prover.

Pillar: AI capability breakthrough + builder framework (rotates away from 6 days of funding-pillar posts).

Why this angle

Last 6 runs leaned heavily on funding stories (OpenAI $122B, Anthropic $900B, Sierra $950M, Mira Murati TML). Audience needs a capability story to round out the narrative. The Erdős proof is:

• Fresh (story broke May 20)
• A single sharp anchor (80 year unsolved conjecture)
• Different pillar from recent runs
• High-virality framing: AI doing original work humans could not
• Connects directly to ICP (AI entrepreneurs and operators)

LinkedIn post

URN: urn:li:activity:7464219547701760001

URL: https://www.linkedin.com/feed/update/urn:li:activity:7464219547701760001/

Status: Live with @RAHIL JAIN mention. PDF carousel pending admin upload.

X / Twitter post

URL: https://x.com/rahilnjain (latest post)

Status: Live with @rahilnjain mention.

Carousel

6-slide PDF saved to workspace: run7_carousel.pdf

• Slide 1: Hook — AI disproved 80 year old conjecture
• Slide 2: The problem — Paul Erdős 1946, unit distance