PROJUKTI BRIEF
3 things that happened while you were busy
1 A model OpenAI hasn't even released to the public just solved 10 open research problems that stumped human mathematicians for over a decade.
The lab's internal Astra model worked through 10 open problems spanning pure mathematics, quantum complexity, and theoretical computer science, all documented in a 249-page technical paper. None of the ten had budged on their central results in at least ten years. The entire run reportedly cost around $2,000 in compute. Sam Altman was apparently in Washington last week showing federal officials what this same model can do, which puts its eventual public release on a very different timeline than its private one.
2 Gemini Spark can now browse the web through Chrome and act on your behalf using your own saved logins.
With your go-ahead, Gemini Spark can now carry out tasks online like comparing flights or scanning listings for a new place, using accounts you're already signed into rather than asking you to log in fresh each time. Here's what that auto-browsing actually looks like. Separately, Mac users can now summon Gemini instantly by tapping the FN key.
3 A startup raised $200M to build a model that simulates how all 8 billion people on Earth would actually behave.
Five months after launch, Simile closed a Series B aimed squarely at predicting human decision-making at global scale. Built out of Stanford research the founders had already published academically, the company has shipped two models so far: one trained to mimic real people, and a second that estimates how confident its own predictions actually are. See a demo here.
Last Friday's top click: A viral prompt that strips the robotic tone out of AI writing. Paste it in before a chat starts, or bake it permanently into your model's instructions.
PROJUKTI FORWARD
Big Tech's earnings told two stories at once. Both were true.
Cash is disappearing fast. Amazon and Alphabet, arguably two of the most profitable companies to ever exist, both posted negative free cash flow last quarter, pointing to the sheer scale of what they're pouring into AI infrastructure. This chart shows just how steep that drop actually is. Meta wasn't far off, watching its own cash flow collapse 91%. And yet none of it rattled Wall Street the way you might expect.
Revenue is covering for it, mostly. Every company in the Magnificent 7 except Nvidia, which reports later this month, posted double-digit revenue growth for the year. That strength pushed the Nasdaq up roughly 2.5% on the week, snapping a slide that had been running since June. Microsoft was the standout, jumping 19% and adding $450 billion in market value in a single day, while Meta and Apple both slid.
The thing everyone keeps circling back to is memory. The global chip shortage now nicknamed RAMageddon is squeezing both Big Tech's margins and consumer prices at the same time. Elon Musk called current memory pricing "pretty insane." Tim Cook went further, describing it as a "hundred-year flood." Mac and iPad prices have already climbed because of it, and analysts don't expect that trend to reverse anytime soon.
What this actually adds up to. Cash reserves shrinking at two of the most profitable companies in history isn't a small detail, and neither is a 91% drop at a third. But the market treated this earnings season as confidence, not alarm, betting that the spending is building toward something bigger than it's costing right now. That bet hasn't been tested yet. It just hasn't been rejected either.
PROJUKTI SNAPSHOT
What's trending on socials and in the headlines today
👤 A better headshot. Overdue for a new LinkedIn photo? A viral prompt turns an ordinary selfie into something close to a TIME magazine cover portrait, modeled on photographer Marco Grob's signature style (2,000 upvotes).
👀 Not everyone was impressed. Sam Altman shared what he called a "cool use case" for ChatGPT on Friday, and the internet mostly disagreed. His post got buried under sarcastic replies instead (12M views). Even the industry's biggest name isn't immune to a pile-on.
🚨 A quick warning. Any satellite imagery you saw circulating over the weekend is worth a second look. Google Earth briefly shipped an AI image tool that got misused fast enough that the company pulled it within a day. Here's the full story.
📝 A calm response under pressure. Leopold Aschenbrenner's fund just came off its toughest month since it launched, and his investor update handled it well. The letter has been widely praised for staying level-headed while still quietly noting the fund's year-to-date numbers (3M views).
⚔ A rough-around-the-edges tribute. Andrej Karpathy built a short animated film based on the opening scenes of The Lord of the Rings while testing Opus 5. He's upfront that it's a little rough, but it's a real glimpse of what one person can now pull off solo. Watch it here (2.5M views).
PROJUKTI PROMPTS
Draft feedback that's honest without being harsh
You are drafting a constructive feedback conversation. Use the context below.
Context: - Conversation context: [CONTEXT] - Behavior or issue to address: [BEHAVIOR] - Impact of the issue: [IMPACT] - Desired change: [CHANGE] - Relationship tone to preserve: [TONE] - Stakes: [STAKES]
Instructions: 1. Make the feedback specific and behavior-based. 2. Avoid vague praise-sandwich filler. 3. Include language that opens dialogue without weakening the message. 4. End with a concrete next-step discussion. 5. Keep the tone firm and respectful.
Output format: opening, main feedback message, clarifying questions, next-step discussion. Missing information policy: ask first only if the behavior or desired change is unclear. Quality bar: specific and respectful, no evasive wording, clear next steps.
