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- 🚀 GPT-5.6 Just Cracked a 50-Year-Old Math Mystery
🚀 GPT-5.6 Just Cracked a 50-Year-Old Math Mystery
An OpenAI model claims it proved a 50-year-old math conjecture in under an hour, Meta yanked its face-remixing AI after a consent revolt, and Anthropic just bought Claude users another week of Fable 5.
Rahul Iyer
July 13, 2026
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OpenAI says one of its models just wrote a proof for a math problem that stumped humans for 50 years, which means machines may be graduating from summarizing what we know to creating what we don't. Meta yanked its new Instagram face-remixing AI just days after launch when people realized anyone's photos were fair game, which means “move fast and break things” now breaks trust faster than it builds features. And Anthropic quietly handed Claude subscribers another week of its flagship Fable 5 model, which means the ground under your favorite AI tools can shift with a single announcement.
In today's AI Pulse
🧮 OpenAI Cracks Math – Its new model claims a proof of a 50-year-old conjecture in under an hour.
🚨 Meta Kills Face AI – Instagram's likeness-remix tool is gone days after a consent backlash.
⏳ Claude Buys Time – Anthropic extends flagship Fable 5 access for paid users through July 19.
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🧠 The Pulse
OpenAI says its GPT-5.6 Sol Ultra model produced a proof of the Cycle Double Cover Conjecture, a graph-theory problem open for roughly 50 years, using 64 parallel subagents in under an hour. Mathematicians call the argument elegant but stress it still needs formal peer review and independent verification before anyone calls it settled.
📌 The Download
The claim – OpenAI published a three-page note asserting every finite bridgeless graph has a “cycle double cover,” addressing a conjecture unsolved since the 1970s.
AI did the work – The note credits GPT-5.6 Sol Ultra with the proof and Codex with the write-up, after 64 subagents ran in parallel for under an hour.
Experts stay cautious – Mathematician Thomas Bloom praised the reasoning but flagged weak citations; the result hasn't cleared journal peer review or formal verification.
Why it matters – A confirmed proof would be a landmark case of a frontier model producing original mathematics, not just remixing its training data.
💡 What This Means for You
Treat AI output as a hypothesis, not a verdict. As models start generating novel work, your edge comes from disciplined verification, not blind trust. Build review checkpoints, keep your sources, and document the reasoning so a confident-sounding answer always gets checked before it drives a real decision.
🧠 The Pulse
Just days after rolling out Muse Image inside Meta AI, Meta pulled the feature that let anyone generate AI images from public Instagram accounts. Public profiles were opted in by default unless users switched it off, triggering backlash from SAG-AFTRA and creators over consent and nonconsensual likenesses. Meta admitted the feature “missed the mark.”
📌 The Download
Fast reversal – Meta withdrew the public-account likeness tool within days, an unusually quick rollback across its consumer apps.
Consent was the flashpoint – Public Instagram accounts were included automatically, exposing people to unauthorized likeness use unless they manually opted out.
The industry pushed back – SAG-AFTRA urged users to opt out and demanded clear, explicit consent; actors publicly slammed the default setting.
Meta's answer – The company said it aimed for creative usefulness and control but conceded it missed the mark; other Muse Image tools stay live.
💡 What This Means for You
Capability doesn't equal acceptance. Before you ship anything that uses people's data, images, or identities, ask who's included by default and how they can say no. An opt-out most users never notice is a trust problem waiting to happen, and trust is far harder to rebuild than a feature is to launch.
🧠 The Pulse
Anthropic extended subscription-included access to its flagship Claude Fable 5 model across paid plans through July 19, a second deadline push after the perk was set to expire July 12. Claude Code users also keep weekly rate limits 50% higher for the window, though usage stays capped and API access isn't included.
📌 The Download
Deadline moved – Fable 5 on paid plans now runs through July 19, extending a promotion that was scheduled to end July 12.
Coders get headroom – Eligible Claude Code subscribers keep weekly rate limits 50% above normal through the extended window.
Limits still apply – Subscribers can spend up to half their weekly allowance on Fable 5; after that it's paid credits or another model.
Not everyone's covered – The perk covers Pro, Max, Team, and premium Enterprise plans; free tiers and the API are excluded, with no promise of another extension.
💡 What This Means for You
Don't hard-wire critical work to a temporary perk. Promotional access, quotas, and pricing can change on short notice, so check model availability and fallbacks before you commit to a deadline. Keep prompts portable and procedures documented so you can switch models without losing quality or context when the terms change again.
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🚗 Self-Driving Cars Get Tested on the People They Can't See: New research stress-tests autonomous-driving perception for occlusion, measuring whether a car still accounts for a pedestrian or cyclist hidden behind a bus instead of quietly dropping them from its plan.
⚙️ Robot Arms Are Learning to Move Faster Without Getting Sloppy: A new B-spline-based control policy lets robot manipulators run smoother, real-time motions, speeding through open space and slowing near contact, where precision matters most.
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That’s it for today’s AI Pulse!We’d love your feedback, what did you think of today’s issue? Your thoughts help us shape better, sharper updates every week. |
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