fp.

A sin was committed by YouTube on the most beautiful channel [video]

https://www.youtube.com/watch?v=4vP7n-0o_UQ

1•secretslol•24s ago•0 comments

See the VCs and Family Offices at the Core of the Mega IPO Wave

https://www.wsj.com/livecoverage/spacex-ipo-stock-market-06-12-2026/card/see-the-vcs-and-family-o...

1•1vuio0pswjnm7•49s ago•0 comments

US pauses $1B in Medicaid payments to California, Minnesota

https://www.reuters.com/world/us-health-secretary-kennedy-says-cms-is-pausing-medicaid-payments-c...

1•tartoran•1m ago•0 comments

Sildenafil may reduce cancer metastasis, study shows

https://medicalxpress.com/news/2026-07-viagra-cancer-metastasis.html

1•OutOfHere•3m ago•0 comments

Show HN: Atlas – Local Dependency Graph

https://atlas-repo-wu76.vercel.app/

1•Yoavkozo•5m ago•0 comments

The AI Backlash Is Starting to Sting

https://www.wsj.com/tech/ai/the-ai-backlash-is-starting-to-sting-129a708d

2•1vuio0pswjnm7•6m ago•0 comments

Lower token usage through representation engineering

https://github.com/rkique/caveman-steer/tree/main

1•rkique•9m ago•0 comments

US civil rights agency moves to end demographic data collection after 60 years

https://apnews.com/article/eeoc-discrimination-dei-andrea-lucas-2f521d784a9d0376416499066dc9f178

2•petethomas•9m ago•1 comments

Off-the-Record Messaging Protocol

https://en.wikipedia.org/wiki/Off-the-Record_Messaging_protocol

1•gjvc•16m ago•0 comments

Hugging Face uses open-weights Z.ai GLM 5.2 to battle attacker

https://siliconangle.com/2026/07/20/hugging-face-uses-open-weights-z-ai-glm-5-2-defend-attacker-c...

3•vednig•16m ago•1 comments

Five Moments in Snapping History

https://unsung.aresluna.org/five-moments-in-snapping-history/

1•birdculture•17m ago•0 comments

Vaporlink – drop a folder or HTML file, get a shareable link that kills itself

https://www.tryvapor.link

1•TheRealCed•19m ago•1 comments

Lessons from vibe coding 30 apps – 6 still in production with real users

https://old.reddit.com/r/vibecoding/comments/1v2wgj5/i_vibe_coded_30_apps_in_2_years_6_are_still_in/

2•tastyeffectco•19m ago•0 comments

Proposed bill could make New York the first U.S. state with universal healthcare

https://www.weny.com/news/proposed-bill-could-make-new-york-the-first-u-s-state-with-universal-he...

2•thunderbong•19m ago•1 comments

Reducing LLM Costs 50% Using Best-Execution for Intelligence

https://www.thesean.ai/blog/introducing-ship

1•arbayi•23m ago•0 comments

Right-Hand Cybersecurity Is Hiring Product Engineer

https://boards.rooster.jobs/jobs/449274

1•uzair-righthand•23m ago•0 comments

Is it just me? HN:new best

2•oriettaxx•25m ago•0 comments

Show HN: Computable – Buy, sell, and redeem GPU for the exact weeks you want

https://www.getcomputable.com/

3•yuansong98•25m ago•2 comments

Sugar found in raspberries was discovered near the Milky Way's center

https://www.livescience.com/space/astronomy/sweet-sugar-found-in-raspberries-discovered-near-the-...

1•cybermango•26m ago•0 comments

Nate Parrott's dopamine-crushing metrics-driven site

https://nateparrott.com/

1•hmokiguess•29m ago•0 comments

Mad 2.0: Mutually Assured Disruption

https://www.thoughtmerchants.com/opinion/mad-2-0-mutually-assured-disruption

1•deltamidway•29m ago•0 comments

Brookmd – streaming Markdown renderer in Rust (web, RN, Swift and more)

https://github.com/siinghd/brookmd

1•siinghd•32m ago•0 comments

What Role Does Wildfire Smoke Play on Radio Signals?

https://www.radioworld.com/tech-and-gear/nicks-signal-spot/what-role-does-wildfire-smoke-play-on-...

2•RF_Enthusiast•33m ago•0 comments

Open pricing dataset for the Seedance 2.0 API, across 16 vendors

https://useapi.net/docs/articles/seedance-2-api-pricing

1•useapi•34m ago•0 comments

Zenoh Reliability, Scalability and Congestion Control

https://zenoh.io/blog/2021-06-14-zenoh-reliability/

2•Kinrany•34m ago•0 comments

IDEs are done, and they are not coming back

https://cpojer.net/notes/not-coming-back

1•coloneltcb•40m ago•0 comments

Ask HN: Apple Is Broken?

4•dogomatic•40m ago•2 comments

Show HN: Faceblind – In-browser only video face blurring

https://kmcheung12.github.io/faceblind/

1•a_c•40m ago•0 comments

Show HN: Reachpad – Run all your coding agents from anywhere from the browser

https://reachpad.dev/

4•sakuraiben•40m ago•1 comments

Show HN: A platform for objective developer skill assessment (MVP)

https://skillhacker.io/

1•vitalyobolensky•41m ago•1 comments

Open in hackernews

A digestion of the Jacobian conjecture counterexample

https://terrytao.wordpress.com/2026/07/21/a-digestion-of-the-jacobian-conjecture-counterexample/

43•jeremyscanvic•1h ago

Comments

greenavocado•34m ago

  Fable, explain the counterexample to the Jacobian conjecture intuitively. Make no mistakes.

tptacek•19m ago

The introduction to this piece was easy to follow, but as soon as he got into recapitulating it with algebra he lost me (because I'm bad at math). But he includes the GPT5 prompts for his conversation, which are easier to follow:

https://chatgpt.com/share/6a5fdc7a-d6f8-83e8-bbea-8deb42cfed...

foobarqux•9m ago

The math if fairly specialized and advanced, I seriously doubt many people on this site can understand it (I certainly can't).

I think the fact that this is on the front page is proof that no one reads or understands the articles submitted here.

minimaxir•6m ago

Also note the timestamp: he started working on this thread a few hours after the tweet.

ChrisArchitect•6m ago

Claude Fable produced a counterexample to the Jacobian Conjecture

https://news.ycombinator.com/item?id=48973869

Human mathematicians are being outcounterexampled

https://news.ycombinator.com/item?id=48983382