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GPT-5.6 Sol Ultra produces proof of the Cycle Double Cover Conjecture [pdf]
🧠💡 "GPT-5.6 Sol Ultra Cracks the Cycle Double Cover Conjecture with Groundbreaking Proof"
The GPT-5.6 Sol Ultra has made a significant breakthrough by producing a proof of the Cycle Double Cover Conjecture, a long-standing problem in graph theory. This achievement showcases the model's advanced capabilities in mathematical reasoning and problem-solving, offering a powerful tool for tackling complex challenges.
8:05 pm, July 10, 2026
guid
https://news.ycombinator.com/item?id=48863490
source_url
https://cdn.openai.com/pdf/04d1d1e4-bc75-476a-97cf-49055cd98d31/cdc_proof.pdf
author_name
scrlk
id: 4679
uid: oBELD
insdate: 2026-07-10 20:05:22
title: GPT-5.6 Sol Ultra produces proof of the Cycle Double Cover Conjecture [pdf]
additional: 🧠💡 "GPT-5.6 Sol Ultra Cracks the Cycle Double Cover Conjecture with Groundbreaking Proof"
The GPT-5.6 Sol Ultra has made a significant breakthrough by producing a proof of the Cycle Double Cover Conjecture, a long-standing problem in graph theory. This achievement showcases the model's advanced capabilities in mathematical reasoning and problem-solving, offering a powerful tool for tackling complex challenges.
category: Hacker News
md5:
guid: https://news.ycombinator.com/item?id=48863490
source_url: https://cdn.openai.com/pdf/04d1d1e4-bc75-476a-97cf-49055cd98d31/cdc_proof.pdf
updated:
image:
author_name: scrlk
author_link:
uid: oBELD
insdate: 2026-07-10 20:05:22
title: GPT-5.6 Sol Ultra produces proof of the Cycle Double Cover Conjecture [pdf]
additional: 🧠💡 "GPT-5.6 Sol Ultra Cracks the Cycle Double Cover Conjecture with Groundbreaking Proof"
The GPT-5.6 Sol Ultra has made a significant breakthrough by producing a proof of the Cycle Double Cover Conjecture, a long-standing problem in graph theory. This achievement showcases the model's advanced capabilities in mathematical reasoning and problem-solving, offering a powerful tool for tackling complex challenges.
category: Hacker News
md5:
guid: https://news.ycombinator.com/item?id=48863490
source_url: https://cdn.openai.com/pdf/04d1d1e4-bc75-476a-97cf-49055cd98d31/cdc_proof.pdf
updated:
image:
author_name: scrlk
author_link:
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- Ask HN: How is AI-assisted coding going for you professionally?
- Ask HN: How to Be Alone?
- Ask HN: How to be SOC2 Type 2 compliant as a solo-entreprenuer?
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- Ask HN: Is GitHub preparing to go behind a login wall?
- Ask HN: Is anyone experimenting with different ways of using LLMs for coding?
- Ask HN: Is anyone working at least 4 hours daily on an Apple Vision Pro?
- Ask HN: Is it just me, or is software buggier across the board?
- Ask HN: My ISP is telling my neighbors their slow internet is because of me
- Ask HN: Please restrict new accounts from posting
- Ask HN: Remember Fidonet?
- Ask HN: Share your productive usage of OpenClaw
- Ask HN: So what happened to Facebook "localhost" tracking?
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- Ask HN: Why hasn't there been a real competitor to Ticketmaster yet?
- Ask HN: Why is the HN crowd so anti-AI?
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- Astronomers find the edge of the Milky Way
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- Block the “Upgrade to Tahoe” Alerts
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- Can't Stop the Signal. Poison It
- Canada is looking to build up to 10 new nuclear reactors over the next 15 years
- Canada plans 'nuclear renaissance' with up to 10 reactors built by 2040
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- Canada's bill C-22 mandates mass metadata surveillance
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- Cancel ChatGPT AI boycott surges after OpenAI pentagon military deal
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