@primonatura@mstdn.social2026-09-24 16:00:59
"How to flood-proof your home: from water-thirsty plants to deflated footballs"
#Houses #Flooding
https://www.
@primonatura@mstdn.social2026-09-24 16:00:59
@raiders@darktundra.xyz2026-07-25 03:31:15
Raiders Fans Do Not Need Offseason Hype. They Need Proof on Sundays. https://raiderramble.com/2026/07/24/raiders-fans-do-not-need-offseason-hype-they-need-proof-on-sundays/
@steve@s.yelvington.com2026-07-23 19:33:43
@tschundler@leds.social2026-08-26 01:02:52
3 years ago, I replaced the bottom bracket bearing for the bike I use at Burning Man after it self-destructed from rust in 2022. I bought one that claims to be waterproof, but prepping this year, I noticed the pedals weren't moving nicely, so took it apart and the new bearing is rusted.
Maybe it is waterproof? Definitely not dust proof. Most of what was in there was the lithium grease now turned into paste with playa dust.
So this time, I'm trying enclosed bearings. Maybe…
@cheryanne@aus.social2026-07-26 05:37:08
Package delivered notice - photo as proof. Only one problem - not my front door. 🤦♀️
#Deliveries #Canberra
@scottmiller42@mstdn.social2026-08-27 00:16:22
When required to provide proof of adulthood, my preferred choice is two factor authentication using:
#MastodonPoll #GenerationX
@tiago@social.skewed.de2026-09-20 06:17:52
Mathematicians: “Math isn't really about proofs, it's about understanding!”
Physicists: 👀
https://terrytao.wordpress.com/2026/09/18/if-math-is-more-than-proof-we-need-to-better-celebrate-the-rest-of-it/…
@Sustainable2050@mastodon.energy2026-08-25 04:34:25
Today we learn that Saudi crown prince MBS may have been involved in the murder of Khashoggi, but that he and Macron share a passion for Dragon Ball Z. So now there will be a Saudi Dragon Ball Z theme park near Paris. French officials see this as proof that France remains attractive to investors. https://nos.nl/l/2628196…
@kexpmusicbot@mastodonapp.uk2026-07-25 23:58:40
🇺🇦 #NowPlaying on KEXP's #VarietyMix
Mamas Gun:
🎵 The Proof
#MamasGun
https://mamasgun.bandcamp.com/track/the-proof
https://open.spotify.com/track/5QcuWBZALOF6lUEJzigRPG
@grist@fosstodon.org2026-09-24 13:34:53
For Swiss, European, or international engineering teams working to space-sector standards, medical device standards, or defense standards, the open source path is a real option. Dotphoton is proof. https://www.getgrist.com/c…
@primonatura@mstdn.social2026-08-23 19:00:08
@geant@mstdn.social2026-07-23 08:57:48
Video conferencing is part of daily academic life. eduMEET offers a browser-based, trusted and privacy-respecting alternative, built by and for #Research & #Education.
Now completing its transition to community-governed open-source software, its eduMEET Federation Proof of Concept already cou…
@chrisnelder@mastodon.energy2026-07-23 01:01:59
RE: https://mastodon.sprawl.club/@ludicity/116939432745772414
This is why, in NN#3, I wrote: "We have not demanded proof that AI is, in fact, such a necessary technology that it qualifies as a must-win arms race. We just took the word of a few o…
@arXiv_csCR_bot@mastoxiv.page2026-07-24 08:07:02
Toward cryptographically verifiable authorization for autonomous AI agents: A security hypothesis, preliminary formal model, and proof-of-concept implementation
M. Llamb\'i-Morillas, D. Fern\'andez-Fern\'andez
https://arxiv.org/abs/2607.21325 https://arxiv.org/pdf/2607.21325 https://arxiv.org/html/2607.21325
arXiv:2607.21325v1 Announce Type: new
Abstract: Autonomous AI agents increasingly execute actions, invoke tools, and operate on protected resources with limited human oversight. Existing authentication and authorization mechanisms establish identity and delegate authority, but do not inherently provide cryptographic evidence that a concrete request issued by a specific agent satisfies the applicable policy in a specific execution context. This paper hypothesizes that agent authorization can be formalized as a cryptographically verifiable relation, denoted $R_{CVA}$, that jointly binds an agent principal, a concrete authorization request, an execution context, and the satisfaction of an applicable policy, while selectively preserving the confidentiality of private authorization attributes. We introduce a preliminary formal abstraction for Cryptographically Verifiable Agent Authorization (CVA), define a compact set of candidate security properties including authorization soundness, principal binding, request binding, policy binding, and replay resistance, and provide an executable zero-knowledge proof of concept that instantiates selected elements of the model over a Groth16 zk-SNARK construction. We further identify and formalize the structural separation among identity binding, authorization-request binding, and runtime execution binding as a central open problem in the design of secure agentic systems (a distinction {not explicitly addressed by} current agentic security frameworks) and present a falsifiable research agenda for its resolution.
toXiv_bot_toot
@cdarwin@c.im2026-07-17 03:21:39
As people were now living well into their 80s and 90s,
financiers began to think of elderly people as recession-proof investments,
and assumed that the care home market in Britain and the US would keep growing.
In the UK, many of these homes were bankrolled by local authorities,
which guaranteed a steady income from the government.
Elderly people who paid for their care out of their own pockets typically covered the cost by selling their houses,
and the c…
@servelan@newsie.social2026-09-25 03:36:32
'Court reinstates Ohio law requiring proof of citizenship for voter registration' - Election Law Blog
https://electionlawblog.org/2026/court-reinstates-ohio-law-requiring-proof-of-citizenship-for-voter-registration/
@kexpmusicbot@mastodonapp.uk2026-07-27 08:26:49
🇺🇦 #NowPlaying on KEXP's #JazzTheatre
Linda May Han Oh:
🎵 Living Proof
#LindaMayHanOh
https://lindamayhanoh.bandcamp.com/track/living-proof
https://open.spotify.com/track/2H7AxqEABP72QHJosdt4oL
@fanf@mendeddrum.org2026-08-10 17:42:03
from my link log —
Librem 5: an open source phone shows the cost of being different.
https://arstechnica.com/gadgets/2020/01/librem-5-phone-hands-on-a-proof-of-concept-for-the-open-source-smartphone/
sa…
@PaulWermer@sfba.social2026-08-21 11:24:43
One needs good news when looking at the news - and this certainly is:
https://www.theguardian.com/environment/2026/aug/21/somerset-rewilding-holnicote-estate-wetlands-rivers-resilience?CMP=share_btn_url
@paulwermer@sfba.social2026-08-21 11:24:43
One needs good news when looking at the news - and this certainly is:
https://www.theguardian.com/environment/2026/aug/21/somerset-rewilding-holnicote-estate-wetlands-rivers-resilience?CMP=share_btn_url
@shriramk@mastodon.social2026-08-26 11:53:02
Never mind, done. Here's an actual working, running (tiny) language, TaML, that is built atop the core of Standard ML, so it actually is an ML (type inference, etc.). Proof of executed output at the bottom. @… of course.
@tomkalei@machteburch.social2026-07-24 19:13:14
If somebody posts a claimed #AI generated proof of the Riemann hypothesis on the arXiv and it has a complete #lean formalization coming with the paper, would you download the lean proof (~100.000 lines) and check it on your computer?
You should NOT DO THIS.
That's very easy social engineering because you just downloaded code from the Internet and ran it. Could be malware.
@ErikJonker@mastodon.social2026-08-08 14:14:27
This burning summer is the proof: the voices of climate denial aren’t just delusional, they’re deadly,
Sadiq Khan
https://www.theguardian.com/commentisfree/2026/aug/08/burning-summer-climate-denial-green-policies-sadiq-khan…
@inthehands@hachyderm.io2026-09-26 16:17:38
My quibble matters for two reasons:
1. The way that the AI-pushing tech leaders like Sam Altman and Elon Musk and Satya Nadella actually talk when they think no one is listening is AFAICT completely different from that Hecht quote. They are delusional, megalomaniacal. They wouldn’t gloat about getting away with labor theft; the concept of “labor theft” does not even exist for them. How can it be theft when they deserved it, when they are messianic figures whose wealth is proof of their infallible rightness?
If we want to oppose this destructive AI bubble, we should understand what we’re opposing.
2/
@DamonHD@mastodon.social2026-07-19 10:54:36
#today I have just caught up on the #NewScientist article backlog, I am fiddling around with some logging detail for my microinverter proof-of-concept, and will probably go round to a friend's for the afternoon...
@seeingwithsound@mas.to2026-08-19 12:05:08
From deep brain stimulation to brain–computer interfaces: current progress in implantable neurotechnology https://www.frontiersin.org/journals/neuroscience/articles/10.3389/fnins.2026.1928223/full
@primonatura@mstdn.social2026-08-23 15:00:08
"Rewilded land remains green amid drought-stricken English countryside, images show"
#UK #UnitedKingdom #Environment
@memeorandum@universeodon.com2026-06-29 14:40:36
Supreme Court to weigh Arizona's proof-of-citizenship voting law (Lawrence Hurley/NBC News)
https://www.nbcnews.com/politics/supreme-court/supreme-court-weigh-arizonas-proof-citizenship-voting-law-rcna351239
http://www.memeorandum.com/260629/p48#a260629p48
@Mediagazer@mstdn.social2026-07-16 17:46:02
A look at issues with DMCA, which is weaponized to silence reporting, turbocharged by automated requests, and places the burden of proof on the attacked party (Rob Waugh/Press Gazette)
https://pressgazette.co.uk/news/us-copyright-la…
@seav@en.osm.town2026-09-09 04:22:34
#OpenAI claims it has solved the existence and smoothness problem for the Navier–Stokes equations, one of the seven million-dollar Millennium Prize problems. The proof hasn’t been verified and there’s apparently some drama surrounding who gets the credit if the proof is proven true.
@cowboys@darktundra.xyz2026-09-21 04:59:15
Eatman: No one could envision Dak Prescott’s record-setting journey https://www.dallascowboys.com/news/eatman-no-one-could-envision-dak-prescott-s-record-setting-journey-except-dak
@cdarwin@c.im2026-07-15 14:58:06
House Speaker Mike Johnson is hoping to get all of his members on board a new reconciliation package and pass it next week.
House Republican leaders released the text of their $95 billion third reconciliation bill on Wednesday morning and aim to pass it next week.
The bill provides $10 billion to the House Administration Committee to give in grants to implement the SAVE Act -- a voter ID bill that would require proof of citizenship to register to vote.
It directs $60 bill…
@UP8@mastodon.social2026-07-17 01:06:18
Who'd of thought you could corrosion proof aluminum cans with caffeine? I wish my corner of campus had as many cool posters as you find in CALS!
#photo #photography #cornell
@matematico314@social.linux.pizza2026-08-16 13:24:09
Eu nunca estudei Lógica a fundo. E a cada vez que eu leio sobre o assunto, eu piro: https://johncarlosbaez.wordpress.com/2012/10/19/insanely-long-proofs/#comment-20914. O ótimo texto do @…
@Techmeme@techhub.social2026-09-10 16:11:03
Interview with mathematician Tristan Buckmaster on being drawn into the OpenAI-Anthropic fight; OpenAI says it made progress on another Millennium Prize problem (Kenneth Chang/New York Times)
https://www.nytimes.co…
@arXiv_mathHO_bot@mastoxiv.page2026-08-20 07:36:47
A simple geometric proof of Kepler's first Law
Hyouggyu Choi
https://arxiv.org/abs/2608.18537 https://arxiv.org/pdf/2608.18537
@jackie@social.linux.pizza2026-08-13 16:42:37
does anyone have a link for @…'s talk that involved a proof of concept steganographic encrypted OS that hides in the filesystem of another OS? I need it for a blog post I'm writing
#encryption
@colinpurrington@flipping.rocks2026-08-06 16:52:44
Some good news: I think I've succeeded in shutting down Pest Proof, a company selling a scam mosquito trap filled with yeast, sugar, baking soda, and citric acid. Its e-commerce site started displaying, "Site Inactive", today, at least. Over the past several weeks I've sent complaints to all 50 states, the EPA, the FTC, and to regulatory authorities in Canada and the UK where it was also being marketed. Someone listened, it seems. Traps like this kill innocent insects, not mosquitoes. #mosquitoes #insects
@arXiv_physicsinsdet_bot@mastoxiv.page2026-08-21 07:56:48
Radiotracer photoluminescence for element-specific identification of color centers
Brecht Biesmans, Afonso Lamelas, Kirill Danilov, Aleksandr Seliverstov, \^Angelo Costa, V\'itor Amaral, Andr\'e Vantomme, Jo\~ao Guilherme Correia, Ulrich Wahl, Lino M. C. Pereira, the ISOLDE Collaboration
https://arxiv.org/abs/2608.19219 https://arxiv.org/pdf/2608.19219 https://arxiv.org/html/2608.19219
arXiv:2608.19219v1 Announce Type: new
Abstract: We report on the implementation of a radiotracer photoluminescence spectroscopy setup at the ISOLDE radioactive ion beam facility at CERN, enabling element-specific identification of optically active defects in solids. The method combines radioactive ion implantation with optical spectroscopy, allowing the temporal evolution of photoluminescence signals to be correlated directly with nuclear decay. The setup is currently optimized for color centers in diamond and related wide-bandgap materials and enables room-temperature measurements. The system consists of an optical microscope coupled to a fiber-fed Czerny-Turner spectrometer with a liquid-nitrogen-cooled CCD detector, providing the stability required for long-duration measurements. As a proof-of-principle, radioactive $^{75}$Ga was implanted into diamond as a precursor to produce $^{75}$Ge impurities. The photoluminescence band extending from 600 nm, corresponding to the well-known GeV$^{-}$ center, exhibits an exponential decay with a half-life of $82.3^{ 2.5}_{-2.3} \mathrm{min}$, in agreement with the known $\beta^{-}$ decay half-life of $^{75}$Ge of $82.78(4) \mathrm{min}$. This establishes a direct and unambiguous correlation between the observed spectral feature and its germanium origin. These results demonstrate the capability of the setup to perform element-specific optical spectroscopy and extend radiotracer methods to color centers in wide-bandgap materials, taking advantage of the uniquely broad range of radioactive isotopes available at ISOLDE.
toXiv_bot_toot
@vyskocilm@witter.cz2026-09-12 10:53:43
After reading about Hyrum-proofing in encoding/json/v2 I made a tiny errors compatible module doing exactly that.
#golang
@Kingu@sakurajima.moe2026-07-06 12:47:03
HELL is not a mythical far away place anymore. We are living straight in it! Here is a proof
@cdarwin@c.im2026-06-27 18:56:02
A federal judge on Wednesday permanently barred Donald Trump’s administration from implementing most of his first executive order on elections,
-- part of which sought to require people to show documentary proof of citizenship when they register to vote.
The ruling by U.S. District Court Judge Denise Casper in Boston effectively converts a preliminary injunction she issued a year ago, into a permanent ban
@primonatura@mstdn.social2026-09-05 17:00:18
"The most dramatic proof of our current climate catastrophe ever caught on camera"
#Climate #ClimateChange
https://www…
@cowboys@darktundra.xyz2026-09-21 02:13:12
Eatman: No one could envision Dak Prescott’s record-setting journey https://www.dallascowboys.com/news/eatman-no-one-could-envision-dak-prescott-s-record-setting-journey-except-dak
@iam_jfnklstrm@social.linux.pizza2026-09-04 08:47:27
proof reading of manuscript done - the rest of the day will contain delivering a package to a collegue and doing research in a new project.
@Mediagazer@mstdn.social2026-08-13 23:35:49
A look at the Originator Profile standard, developed in Japan in response to imposter news sites and offering tamper-proof credentials for websites (Andrew Deck/Nieman Lab)
https://www.niemanlab.org/2026/08/japanese-publi…
@SmartmanApps@dotnet.social2026-09-07 23:27:14
RE: https://tldr.nettime.org/@tante/117228873301194169
"Either the “AI” output needs to be heavily cleaned up and structured by actual mathematicians to get it to actually be a valid proof (reducing the chatbot contribution to a brainstorming partner) …
@veit@mastodon.social2026-06-29 12:27:03
Critical libssh2 vulnerability with a proof-of-concept exploit already published. curl, PHP and libgit2 are also affected.
#ssh
@maxheadroom@hub.uckermark.social2026-08-31 19:47:50
What a lovely coincidence: my former boss at Nokia just reached out to give me his latest novel to proof read. I told him that I'm just about to finish William Gibsons "Neuromancer". And said that he had just started reading this 3 days ago. That's serendipity right there
@sean@scoat.es2026-08-02 15:09:30
I recognize that the global audience for this exact kind of thing might be just me (I'd be truly surprised if THERE ARE DOZENS OF US!), but…
I’m pretty excited that I just managed to build a rudimentary proof-of-concept plugin for #OneROM (https://onerom.org
![One ROM Fire 28 C with its status LED flashing “S W I F T” in Morse Code, via a plugin written in [Embedded] Swift.](https://cdn.masto.host/scoates/media_attachments/files/117/026/545/044/514/379/small/4b5f66fc20c5a0d5.png)
@yetiinabox@todon.nl2026-07-28 14:26:48
Just saw a giant horntail. Enormous, cute, and cheerful proof that our pine trees are providing a mature ecosystem.
https://www.wildlifetrusts.org/wildlife-explorer/invertebrates/bees-and-wasps/giant-horntail
@sonnets@bots.krohsnest.com2026-08-05 11:25:09
Sonnet 117 - CXVII
Accuse me thus: that I have scanted all,
Wherein I should your great deserts repay,
Forgot upon your dearest love to call,
Whereto all bonds do tie me day by day;
That I have frequent been with unknown minds,
And given to time your own dear-purchased right;
That I have hoisted sail to all the winds
Which should transport me farthest from your sight.
Book both my wilfulness and errors down,
And on just proof surmis…
@arXiv_mathDG_bot@mastoxiv.page2026-08-07 07:48:45
Linearisation, splitting property and homotopy algebras
Seokbong Seol, Kai Wang
https://arxiv.org/abs/2608.05875 https://arxiv.org/pdf/2608.05875 https://arxiv.org/html/2608.05875
arXiv:2608.05875v1 Announce Type: new
Abstract: In this paper, we study the formal linearisation problem for vector fields in the framework of graded coalgebras. We prove that a formal vector field is linearisable if and only if it satisfies a splitting property, by providing an explicit recursive construction of the isomorphism that linearises it. This criterion yields a streamlined proof of Basto-Gon\c{c}alves' theorem on admissible resonant vector fields. We also establish a corresponding splitting criterion for morphisms of formal manifolds, proving that a morphism is linearisable if and only if it satisfies this property. Furthermore, we obtain an elementary and explicit proof of Bandiera's characterisation of linearisable (equivalently, homotopy abelian) $L_\infty[1]$ algebras. Finally, we extend this framework to $A_\infty[1]$ algebras, showing that their linearisability is similarly characterised by an analogous splitting property.
toXiv_bot_toot
@cyrevolt@mastodon.social2026-09-21 11:21:06
OH: "Hyena-proof milking gear."
@fortune@social.linux.pizza2026-08-27 15:00:01
page 46
...a report citing a study by Dr. Thomas C. Chalmers, of the Mount Sinai
Medical Center in New York, which compared two groups that were being used
to test the theory that ascorbic acid is a cold preventative. "The group
on placebo who thought they were on ascorbic acid," says Dr. Chalmers,
"had fewer colds than the group on ascorbic acid who thought they were
on placebo."
page 56
The placebo is proof that there is no real…
@Techmeme@techhub.social2026-09-04 20:35:57
Anthropic says Claude worked "largely autonomously" over 11 days to formalize the proof of Fermat's Last Theorem in the Lean programming language (Anthropic)
https://www.anthropic.com/research/formalizing-fermats-last-theorem
@ToneMilazzo@mastodon.cloud2026-09-06 02:56:22
@cdarwin@c.im2026-09-06 01:02:25
Such is Trump’s narcissism that he would see a Democratic victory as proof that he’s indispensable
– meanwhile, his every decision spells calamity for voters
https://www.theguardian.com/commentisfree/2026/sep/04/d…
@arXiv_qfinTR_bot@mastoxiv.page2026-07-21 09:26:11
Crosslisted article(s) found for q-fin.TR. https://arxiv.org/list/q-fin.TR/new
[1/1]:
- Proof-of-Stake Dynamics: The Elusive Price Anchor and Endogenous Volatility Harvesting
Mikhail Perepelitsa
https://arxiv.org/abs/2607.16622 https://mastoxiv.page/@arXiv_econGN_bot/116956814098094354
toXiv_bot_toot
@relcfp@mastodon.social2026-09-20 10:30:47
ACLA 2027: Proof [In-Person Session]
https://ift.tt/V0z9Cw8
full name / name of organization: Moya Li and Nan Dacontact email: moyang.li@csulb.educategories (up…
via Input 4 RELCFP https://ift.tt/oVtPhZk
September 7, 2026 at 11:11AM
@arXiv_mathGN_bot@mastoxiv.page2026-08-14 07:39:17
Countable Functionally Balanced Groups
Li-Hong Xie, Jiang Yang
https://arxiv.org/abs/2608.12494 https://arxiv.org/pdf/2608.12494 https://arxiv.org/html/2608.12494
arXiv:2608.12494v1 Announce Type: new
Abstract: We prove that every countable Hausdorff functionally balanced topological group is balanced, answering Question~13 in the problem list of Bouziad and Troallic. The proof does not assume metrizability, first countability, sequentiality, or a non-Archimedean local base. Its non-locally-precompact part combines an infinite-fibre amplification, a simultaneous Bernoulli colouring lemma for countably many arbitrary self-maps, a McShane extension with respect to a continuous left-invariant pseudometric, and the Protasov--Saryev criterion. We also prove a countable-union form of Question~4: in an \(\FSIN\) group, every left uniformly discrete family whose union is countable is right uniformly discrete. Consequently, Questions~7 and~8 have positive answers for \(\aleph_0\)-bounded \(\FSIN\) groups. We reconstruct all thirteen questions and their logical relations. The original problem chapter states, without proof, that a positive answer to Question~13 would imply Question~4 for all \(\aleph_0\)-bounded groups. We isolate the ambient reflection principle needed for that transfer and explain why neither subgroup reduction nor the present colouring proof establishes it. Therefore Question~12 is \emph{not} claimed as solved here: the precise boundary between the proved countable theorem and the asserted \(\aleph_0\)-bounded transfer is recorded explicitly.
toXiv_bot_toot
@servelan@newsie.social2026-08-24 00:59:35
"The White House already has a nuclear-proof facility buried deep underground and built in secret after 9/11."
Secret White House bunker undercuts Trump’s ballroom lawsuit, ex-officials say - The Washington Post
https://www.washingtonpost.com/politics/2026/08/23/secret-white-house-bunker-undercuts-trumps-ballroom-lawsuit-ex-officials-say/
@CubitOom@social.linux.pizza2026-08-02 14:07:40
Video from the concentration camp known as the Adelanto ICE Processing Center with live worms/larvae/parasites moving in the drinking water.
In a video call from the Southern California facility where he is detained, he finally showed them proof — a plastic bottle filled with drinking water and what appeared to be worm-like creatures.
Carlos Jurado, Parias’ immigration attorney, shared a copy of the video with The Times. In a phone interview, he said no one should drink something…
@Sustainable2050@mastodon.energy2026-08-09 06:49:48
This burning summer is the proof: the voices of climate denial aren’t just delusional, they’re deadly. From the Mayor of London.
https://www.theguardian.com/commentisfree/2026/aug/08/burning-summer-climate-denial-green-policies-sa…
@brichapman@mastodon.social2026-09-20 16:12:13
Stillness can look passive to others, yet it may be the discipline that demands the most in a growth cycle. Treat that season as effort, and you are less likely to treat it as proof you picked the wrong path.
From Presence and Possibility with Bri Chapman.
@buercher@tooting.ch2026-07-20 21:36:35
Nolan has already been established as the rare director who can get people to buy a ticket on the strength of his name. As the follow-up to “Oppenheimer,” a somber period piece about the father of the atomic bomb, “The Odyssey” is further proof that Nolan can get butts in seats no matter the genre. Who else could turn a sword-and-sandal adventure that’s R-rated, nearly three hours long and isn’t a sequel into populist fare?
https://variety.com/2026/film/box-office/odyssey-box-office-christopher-nolan-1236816035/
@arXiv_physicsmedph_bot@mastoxiv.page2026-07-22 07:47:10
BART Online Open-Source Sequence Toolbox for Computational MRI
Daniel Mackner, Philip Schaten, Markus Huemer, Viktoria Buchegger, Moritz Blumenthal, Xiaoqing Wang, Martin Uecker
https://arxiv.org/abs/2607.19099 https://arxiv.org/pdf/2607.19099 https://arxiv.org/html/2607.19099
arXiv:2607.19099v1 Announce Type: new
Abstract: Purpose In advanced computational MRI techniques, acquisition and reconstruction techniques are jointly designed. For reproducibility, it is therefore important to provide an open implementation of both. At the same time, any use in a clinical environment usually requires a close integration with the MRI scanner. Ensuring long-time reproducibility and maintenance then poses additional challenges. In this work, we aim to provide a fully integrated open-source framework that can meet these demands.
Methods A software framework to develop pulse sequences is added to the BART toolbox. In addition, a vendor-specific driver sequence is developed that can be used to run the sequence on a clinical MRI scanner enabling online adjustment of all relevant sequence parameters. Using the Pulseq format, the exact same sequence can also be reproduced offline. As proof-of-concept, quantitative MRI methods for T1 and joint water/fat R2*, B0 mapping using radial FLASH and model-based reconstruction are implemented in the proposed framework. Consistency between online and offline acquisition is validated in phantom and in vivo experiments.
Results Quantitative MRI methods consisting of acquisition and reconstruction were successfully implemented in BART. Acquisition parameters and FOV can be adapted online on a clinical MRI system. Quantitative parameter maps from model-based reconstruction agree for online and offline regenerated Pulseq acquisitions.
Conclusion This work enables reproducibility of advanced computational MRI methods within a comprehensive end-to-end open-source framework.
toXiv_bot_toot
@arXiv_mathST_bot@mastoxiv.page2026-08-13 08:53:16
Replaced article(s) found for math.ST. https://arxiv.org/list/math.ST/new
[1/1]:
- A new kernel-based approach for the global sensitivity analysis of models with correlated inputs
Troy Larsen, Alen Alexanderian
https://arxiv.org/abs/2603.00849 https://mastoxiv.page/@arXiv_mathST_bot/116164541348754007
- Identifiability, Convergence and Nonparametric Estimation of Bivariate Archimax Copulas
Nicolas Dietrich, Wolfgang Trutschnig
https://arxiv.org/abs/2607.19087 https://mastoxiv.page/@arXiv_mathST_bot/116962627413524469
- Proper Bayes minimax multiple shrinkage estimation
Pankaj Bhagwat, William E. Strawderman, Edward I. George
https://arxiv.org/abs/2607.23717 https://mastoxiv.page/@arXiv_mathST_bot/116996538414904121
- Local Second-Order Bounds for Aggregation-Order Variation in Density Fusion
Ratan Bahadur Thapa
https://arxiv.org/abs/2608.01420 https://mastoxiv.page/@arXiv_mathST_bot/117036312800349457
- Debiased Causal Mediation Analysis in Ultra-High-Dimensional Settings in the Presence of Interact...
Shi Bo, AmirEmad Ghassami, Debarghya Mukherjee
https://arxiv.org/abs/2412.08827 https://mastoxiv.page/@arXiv_statME_bot/113644641256825402
- Schnorr Randomness and Effective Bayesian Consistency and Inconsistency
Simon M. Huttegger, Sean Walsh, Francesca Zaffora Blando
https://arxiv.org/abs/2501.11210 https://mastoxiv.page/@arXiv_mathLO_bot/113872370795037324
- Semiparametric Inference for Half-Trek Estimators in Linear Structural Equation Models
Leopold Mareis, Nils Sturma, Mathias Drton
https://arxiv.org/abs/2606.26931 https://mastoxiv.page/@arXiv_statME_bot/116815434864895376
- A Bayesian Proof of the Bernoulli Theorem
Jingbo Liu, Ilias Zadik
https://arxiv.org/abs/2608.11031 https://mastoxiv.page/@arXiv_mathPR_bot/117081540858079561
- The Geometry of Cochains on Sampled Vietoris-Rips Complexes
Darrick Lee, Kelly Maggs
https://arxiv.org/abs/2608.11137 https://mastoxiv.page/@arXiv_mathDG_bot/117081537320356423
toXiv_bot_toot
@arXiv_csPL_bot@mastoxiv.page2026-07-22 07:37:04
Formal Verification of an Out-of-Order Multiprocessor against an In-Order Weak-Memory ISA
Janggun Lee, Jeehoon Kang
https://arxiv.org/abs/2607.18727 https://arxiv.org/pdf/2607.18727 https://arxiv.org/html/2607.18727
arXiv:2607.18727v1 Announce Type: new
Abstract: Out-of-order multiprocessor is a critical piece of modern hardware, and their verification must solve the following challenges. First, inter-core interleaving, in which the order their reads and writes reach shared memory is unrestricted. Second, intra-core out-of-order execution, in which instructions fire out of program order. The combination of the two yields weak outcomes, which no sequential execution explains, and modern ISA allows such behaviors to account for them. However, the microarchitecture even exhibits excess out-of-order executions, temporarily entering states forbidden by the ISA. While discarded later, such states complicate reasoning about the core in full-system verification. Prior works verify a range of processor designs, while none have performed unbounded verification for out-of-order multiprocessor exhibiting such weak outcomes.
We present the first formal verification of an out-of-order multiprocessor against an in-order, weak-memory ISA. Our key idea is a well-designed core specification, which captures the essence of excess executions in a single list of instructions. Building upon this, we decompose the proof into two steps. The first is a core refinement, proving a core implementation against this specification, abstracting away every microarchitectural state except those necessary to reason about excess executions and the core interface. The second is a system inclusion, serializing the out-of-order memory executions and inter-core interleaving into the ISA, easily removing excess executions thanks to the core specification. All of our proofs are mechanized in Rocq, heavily utilizing large language model (LLM) agents to write proofs automatically.
toXiv_bot_toot
@grist@fosstodon.org2026-09-10 17:00:55
Finding the perfect blend of tables and text for optimal RAG performance. https://www.getgrist.com/blog/why-rag-hits-a-wall-on-structured-data/
@arXiv_csAR_bot@mastoxiv.page2026-08-14 07:30:59
Spec-Driven Hardware Evolution via Executable Contract Refinement and Proof-Guided RTL Update
Shibo Zhao, Yang Zhang, Mengxia Tao, Baoqi Zhang, Kezhi Li, Qiang Xu, Binwu Zhu, Hao Yan, Min Li
https://arxiv.org/abs/2608.12684 https://arxiv.org/pdf/2608.12684 https://arxiv.org/html/2608.12684
arXiv:2608.12684v1 Announce Type: new
Abstract: Hardware development is inherently evolutionary: major revisions typically begin by changing intended behavior and then updating a previously validated implementation, rather than regenerating RTL from scratch. Yet most recent LLM-based hardware research still frames the task primarily as prompt-to-RTL generation, offering limited support for semantic version evolution of trusted legacy designs. We present spec-driven hardware evolution, a contract-centered formulation for RTL version iteration. Instead of treating a new feature request as a direct prompt for RTL generation, we refine it into a reviewed executable contract for the next version. This contract specifies what must hold at the externally visible transactional level through a behavior-level reference together with explicit observation and checking semantics, while leaving how the change is realized in RTL to the evolution process. Based on this formulation, we organize hardware evolution into four stages: Specify, Plan, Implement, and Validate. After contract approval, the remaining stages proceed automatically: Plan derives cross-version semantic deltas and localizes affected RTL regions, aided by mutation-based semantic probing; Implement and Validate then perform legacy-aware RTL update under proof-guided checking and iterative repair. We evaluate the framework on a controlled version-evolution case study of a representative TPU datapath block under data-format changes. The results support the feasibility of contract-driven hardware evolution and demonstrate that the proposed backend workflow can effectively drive validated legacy RTL toward next-version functional convergence under a reviewed executable contract. An anonymous artifact for reproducibility is available at https://anonymous.4open.science/r/SDHE-3A6C.
toXiv_bot_toot
@arXiv_mathCV_bot@mastoxiv.page2026-07-21 08:22:07
The Bergman and the growth numbers of domains and hyperbolic geometry
Manuel D. Contreras, Francisco J. Cruz-Zamorano, Luis Rodr\'iguez-Piazza
https://arxiv.org/abs/2607.17845 https://arxiv.org/pdf/2607.17845 https://arxiv.org/html/2607.17845
arXiv:2607.17845v1 Announce Type: new
Abstract: In this article we completely characterize the Bergman number of general domains. Namely, we prove that the Bergman number of a hyperbolic unbounded domain can be calculated in terms of the asymptotic behavior of its hyperbolic metric near infinity. To obtain the proof of this result we first work in the setting of growth spaces, defining the growth number of a domain. Later, we prove an equality relating the Bergman number and the growth number of domains. We also provide examples of domains with prescribed Bergman number which have zero Hardy number, solving a question posed previously by Betsakos and Cruz-Zamorano. At the end, a similar idea is treated for the case of Bloch-type spaces.
toXiv_bot_toot
@cdarwin@c.im2026-07-14 16:29:07
America was never meant to be a place where a president brags about helping “his” states and punishing the ones that didn’t vote for him.
Yet Donald Trump has done exactly that
— loudly, proudly, and repeatedly.
And if you want proof that the Electoral College has twisted our politics into a tribal map of red vs. blue,
you don’t need a political science textbook.
You just need to listen to Trump’s own words.
Because when a president starts treating dis…
@Sustainable2050@mastodon.energy2026-08-09 06:02:59
This burning summer is the proof: the voices of climate denial aren’t just delusional, they’re deadly. From the Mayor of London.
https://www.theguardian.com/commentisfree/2026/aug/08/burning-summer-climate-denial-green-policies-sa…
@arXiv_mathDS_bot@mastoxiv.page2026-08-05 08:56:37
Crosslisted article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/1]:
- Beyond Invariant Dictionary: Data-Driven Koopman Spectral Recovery with Filtered Extended Dynamic...
Siji Chen, Igor Mezi\'c, Sui Tang
https://arxiv.org/abs/2608.02661 https://mastoxiv.page/@arXiv_mathNA_bot/117041757453239989
- A Proof of the Forsythe Conjecture for the Two-Step Restarted Conjugate Gradient Method
Matthew J. Colbrook, George Stepaniants, Alex Townsend
https://arxiv.org/abs/2608.02852 https://mastoxiv.page/@arXiv_mathNA_bot/117041786747771352
- Geodesic string counting invariants and arithmetic of multiplicities
Yasha Savelyev
https://arxiv.org/abs/2608.02857 https://mastoxiv.page/@arXiv_mathDG_bot/117041820596493504
- Local limit theorem and Edgeworth expansions for inhomogeneous random walks on $GL(d,\mathbb R)$
Yeor Hafouta
https://arxiv.org/abs/2608.02897 https://mastoxiv.page/@arXiv_mathPR_bot/117041853991359257
- Stochastic Saddle Avoidance Beyond Unit Excitation and Smoothness: A Pathwise Lyapunov-Perron Fra...
Junwen Qiu, Bohao Ma, Andre Milzarek, Junyu Zhang
https://arxiv.org/abs/2608.03001 https://mastoxiv.page/@arXiv_mathOC_bot/117041775179365775
- Population Structures with Positive Feedback and Asymmetric Division
Gabriel Dooley, Camden Kilton, Brynley Needham, Graham Walther, Todd R. Young
https://arxiv.org/abs/2608.03604 https://mastoxiv.page/@arXiv_qbioCB_bot/117041846353665589
toXiv_bot_toot
@arXiv_mathDG_bot@mastoxiv.page2026-09-15 09:02:20
The stable Bernstein theorem in $\mathbb{R}^{7}$
Han Hong, Haizhong Li, Gaoming Wang
https://arxiv.org/abs/2609.15720 https://arxiv.org/pdf/2609.15720 https://arxiv.org/html/2609.15720
arXiv:2609.15720v1 Announce Type: new
Abstract: We give a Green-function proof of the stable Bernstein theorem in $\mathbb R^7$ for smooth, connected, complete, two-sided minimal hypersurface, thus resolving the last case in stable Bernstein problem.
toXiv_bot_toot
@grist@fosstodon.org2026-09-09 11:48:52
What a Google DeepMind paper can tell us about how Grist can help with structured data retrieval. https://www.getgrist.com/blog/why-rag-hits-a-wall-on-structured-data/
@cdarwin@c.im2026-07-27 21:46:21
Trump demands Senate cancel August break until it passes voter suppression bill
Trump on Monday demanded that Senate Majority Leader John Thune cancel the chamber’s upcoming August break until senators pass a strict proof-of-citizenship voting bill
-- even as Republicans lack the votes to advance it.
Trump has repeatedly urged Thune to scrap the legislative filibuster,
which effectively sets a 60-vote threshold for most legislation in the 100-member Senate,
or …
@kexpmusicbot@mastodonapp.uk2026-08-15 09:32:57
🇺🇦 #NowPlaying on KEXP's #MechanicalBreakdown
Reptant:
🎵 Future Proof
#Reptant
https://reptant-the-lizard.bandcamp.com/track/future-proof
@tomkalei@machteburch.social2026-07-20 12:15:00
In the pre-AI days, there was a Stanley-conjecture (on covering monoids) which eventually turned out false and then Stanley quibbed to the authors, that he liked their work but he asked them to withdraw their paper and post a proof instead.
Will people post conjectures in the future? I think the role of a conjecture is to trigger human attention to a problem so that we get more understanding of the whole area. So maybe a “cheap” counterexample was always a boring resolution of a conjecture.
@DamonHD@mastodon.social2026-09-14 07:55:35
@arXiv_mathDG_bot@mastoxiv.page2026-09-15 08:58:41
Existence of least-area discs
Alexander Lytchak, Stephan Stadler
https://arxiv.org/abs/2609.15507 https://arxiv.org/pdf/2609.15507 https://arxiv.org/html/2609.15507
arXiv:2609.15507v1 Announce Type: new
Abstract: We prove that every closed Lipschitz curve in Euclidean space extends to a Lipschitz disc of least area. The proof is geometric and applies more generally to metric spaces with curvature bounded above in the sense of Alexandrov.
toXiv_bot_toot
@arXiv_csPL_bot@mastoxiv.page2026-07-21 07:45:34
ETAS: An Effect-Typed Language for Agent Systems
Huiri Tan, Yikun Wang, Puyang Zhang, Shangyu Li, Jiasi Shen
https://arxiv.org/abs/2607.17780 https://arxiv.org/pdf/2607.17780 https://arxiv.org/html/2607.17780
arXiv:2607.17780v1 Announce Type: new
Abstract: ETAS is a programming language for agent systems that treats model-backed agents, tool calls, prompts, typed memory, human approvals, policies, and execution traces as semantic program elements rather than library conventions. It separates deterministic computation from agentic nondeterminism and externally visible actions while preserving a direct programming style.
We present the core design of ETAS. Its static semantics assigns ordinary types through spec conformance and tracks each computation with two behavioral indices: an escaping effect row and a persistent abstraction of the typed action trace it may request. Specs form a terminating compile-time constraint calculus: type specs provide evidence for polymorphism and resource facts, callable specs constrain function and stage shapes, and trace specs express allow, deny, and temporal constraints. Typing checks requested traces against compiled monitors and emits residual obligations when dynamic resources preclude a complete static proof. The dynamic semantics distinguish requested, handled, denied, and committed events; handlers interpret typed actions without making their requests invisible to authorization or audit.
We formalize a core calculus and state preservation, progress, type/effect soundness, handler trace-transparency, and policy safety. We also implement ETAS in Rust with a command-line interface, typed HIR checks, effect and policy diagnostics, handler checks, and trace-aware execution hooks. ETAS provides a programming-language foundation for reasoning about authorization, nondeterminism, recovery, and audit evidence before and during agent execution.
toXiv_bot_toot
@arXiv_physicsmedph_bot@mastoxiv.page2026-07-21 07:55:04
Theoretical derivation of blood velocity from TOF-MRA based artery centerline
Abrar Faiyaz
https://arxiv.org/abs/2607.16498 https://arxiv.org/pdf/2607.16498 https://arxiv.org/html/2607.16498
arXiv:2607.16498v1 Announce Type: new
Abstract: Time-of-flight magnetic resonance angiography (TOF-MRA) is widely used for structural vascular imaging, but extracting functional hemodynamics like blood velocity typically requires supplementary phase-contrast scans. This study proposes a novel, physics-informed computational framework to extract variable fluid velocity directly from standard TOF-MRA signal profiles. We analytically expand the Bloch equations into Bloch-McConnell flow equations, establishing a mathematical relationship between the spatial decay of longitudinal magnetization and fluid velocity. To validate this derivation and overcome the limitations of constant-velocity assumptions, a MATLAB simulation framework was developed to model fluid flow in two variable-geometry flowing tube cases i.e continuous tapering and focal stenosis -under synthetic scanner noise. A global inverse optimization approach utilizing Dual-Tikhonov regularization was deployed to stably invert the ill-posed transit time integral, actively penalizing high-frequency numerical ringing while preserving structural curve stiffness. The computational sim-ulations successfully recovered ground-truth point-wise velocities, accurately tracking gradual hemodynamic accelerations and sharp stenotic jets. This theoretical framework provides a robust mathematical proof-of-concept that quantitative, localized functional hemodynamic metrics can be extracted from standard structural MRA imaging, estab-lishing a foundation for advanced flow quantification without requiring additional scan time.
toXiv_bot_toot
@grist@fosstodon.org2026-09-07 14:32:54
How to build an effective and sustainable data model for retrieval-augmented generation. https://www.getgrist.com/blog/why-rag-hits-a-wall-on-structured-data/
@cdarwin@c.im2026-09-07 16:53:05
Joan Birman thought her major discoveries were behind her.
Then came an email from a young neighbor — a girl who knew little but wanted to learn.
It was a kind of note that Joan Birman had received many times: a plea from a high school student, asking for help learning mathematics.
After enjoying freshman geometry class, the student wrote, she had recently read her first real mathematical proof. It made her think there might be something more to math than what she was lear…
@arXiv_mathDG_bot@mastoxiv.page2026-09-15 08:57:14
Stability of Einstein 4-manifolds satisfying a chiral curvature condition
Diego Artacho
https://arxiv.org/abs/2609.15159 https://arxiv.org/pdf/2609.15159 https://arxiv.org/html/2609.15159
arXiv:2609.15159v1 Announce Type: new
Abstract: Let $(M,g)$ be a compact oriented Einstein four-manifold with Einstein constant $E$ and let $\widehat{R}^ $ denote the action of the Riemann curvature tensor on self-dual two-forms. We show that if $\widehat{R}^ < 0$, then $g$ is strictly linearly stable for the Einstein-Hilbert functional, thus giving a chiral criterion for stability. Our result is stronger than the one by Fine-Krasnov-Singer, who conclude local rigidity from $\widehat{R}^ < 0$ by proving stability for a different action functional. Our proof proceeds by showing that $(M,g)$ admits a natural spin$^h$ structure carrying a non-zero parallel spin$^h$-spinor. We then apply a lower bound on the Lichnerowicz Laplacian on traceless symmetric two-tensors in the presence of such a spinor.
toXiv_bot_toot
@grist@fosstodon.org2026-09-03 22:54:53
Hybrid retrieval for structured data: where a vector index meets a relational database. https://www.getgrist.com/blog/why-rag-hits-a-wall-on-structured-data/
@servelan@newsie.social2026-09-03 01:04:52
Identity Verification Is Broken. The 153 Million Driver’s Licenses Now for Sale Are Proof
https://gizmodo.com/identity-verification-is-broken-the-153-million-drivers-licenses-now-for-sale-are-proof-2000806437
@cdarwin@c.im2026-07-02 22:34:22
For the first time, biologists packed nonliving components into a cell-like membrane, piece by piece, and witnessed the bag of molecules start to behave like life.
The lab-made synthetic cell grew, replicated its DNA, and divided, demonstrating the basic functions of a cell cycle.
It’s “an impressive step,” said Jack Szostak, who studies the origins of life at the University of Chicago and was not involved in the research.
“I don’t know of any other effort to put together…
@cdarwin@c.im2026-08-31 16:22:22
This is Part Two of the previous lecture with Tim Maudlin
(which went obscenely viral).
It is the one with Bell's theorem in it.
Maudlin traces how David Bohm's reframing of EPR using particle spin opened the door for Bell's 1964 proof,
walked through step by step with a simple chart of coin flips:
any theory ruling out "spooky action at a distance" must be deterministic,
and no such local theory can match quantum mechanics's a…
@grist@fosstodon.org2026-09-02 16:40:54
Making a RAG system that works for domain experts and engineers. https://www.getgrist.com/blog/why-rag-hits-a-wall-on-structured-data/
@cdarwin@c.im2026-08-31 02:40:45
So far, the president’s plot to subvert the integrity of the midterm elections looks like this:
Issue a rule requiring states to give lists of mail-in voters to the Postal Service if their citizens hope to receive mail-in ballots.
Knowing that this is a blatantly unconstitutional seizure of the states’ prerogative to run their own elections,
count on a federal court to block the rule.
Then challenge the injunction, arguing
— under the Supreme Court’s “Purcell …
@grist@fosstodon.org2026-09-01 11:57:54
Using Grist to find the sweet spot between a vector index and a relational data store for retrieval-augmented generation. https://www.getgrist.com/blog/why-rag-hits-a-wall-on-structured-data/
@arXiv_mathDG_bot@mastoxiv.page2026-08-07 07:58:21
Dihedral Rigidity for Convex Polytopes by Smooth Approximation
Yuchen Bi
https://arxiv.org/abs/2608.06320 https://arxiv.org/pdf/2608.06320 https://arxiv.org/html/2608.06320
arXiv:2608.06320v1 Announce Type: new
Abstract: Following Brendle's smooth approximation approach, we give a proof of Gromov's dihedral rigidity conjecture for convex polytopes.
toXiv_bot_toot
@cdarwin@c.im2026-08-27 18:37:13
Documentation files on more than 100 websites are referencing potentially dangerous executable content that gets installed automatically when visited by many AI agents.
A few dozen companies, some of them Fortune 500s, are among those that executed proof-of-concept code.
At least one misconfigured site is directing visitors, human or AI, to live malware.
The potentially dangerous content is in llms.txt and llms-full.txt files,
an emerging convention websites employ …
@cdarwin@c.im2026-07-27 21:50:09
Trump is pushing for ending the filibuster in the Senate
Right now, Republicans have 53 votes.
That’s not close to what they’d need to pass Trump’s controversial
"Save America Act", which would mandate strict ID laws for voting and proof of citizenship to register to vote or after a name change.
All Democrats oppose this legislation.
So even though it passed the Republican-controlled House, it’s stuck in the Republican-controlled Senate because of t…
@grist@fosstodon.org2026-08-27 14:29:53
Why RAG hits a wall on structured data. https://www.getgrist.com/blog/why-rag-hits-a-wall-on-structured-data/
@arXiv_mathDG_bot@mastoxiv.page2026-08-07 07:51:35
Equivalence of Lin--Lu--Yau curvature and 1/2-Ollivier curvature on weighted graphs
Shiping Liu, Yunyan Yang
https://arxiv.org/abs/2608.05939 https://arxiv.org/pdf/2608.05939 https://arxiv.org/html/2608.05939
arXiv:2608.05939v1 Announce Type: new
Abstract: In this note, we prove that, on weighted graphs, the Lin--Lu--Yau curvature coincides with the $p$-Ollivier curvature up to scaling whenever the idleness parameter $p\geq 1/2$. Moreover, the threshold $1/2$ is sharp. This extends an earlier result of Bourne et al. (Ollivier--Ricci idleness functions of graphs, SIAM J. Discrete Math., 32 (2018), no. 2, 1408-1424), where combinatorial graphs were considered. This observation yields a simple proof for the global existence and uniqueness of solutions of the Lin--Lu--Yau curvature flow in Bai et al. (Ollivier Ricci-flow on weighted graphs, Amer. J. Math. 146 (2024), 1723-1747).
toXiv_bot_toot
@arXiv_mathDG_bot@mastoxiv.page2026-08-07 07:40:47
A strict second-eigenvalue estimate for the scalar stability operator on surfaces in $\mathbb{RP}^{3}$
M\'arcio Batista, Abra\~ao Mendes
https://arxiv.org/abs/2608.05458 https://arxiv.org/pdf/2608.05458 https://arxiv.org/html/2608.05458
arXiv:2608.05458v1 Announce Type: new
Abstract: Let $\varphi:\Sigma^2\looparrowright\mathbb{RP}^3$ be a closed immersed surface, with no orientability or, equivalently, two-sidedness assumptions. We establish the sharp quantitative estimate $$ \lambda_2(\Delta |\sigma|^2 2)\leq2-\frac{2}{\operatorname{Area}(\Sigma)}\int_\Sigma H^2d\Sigma \frac{4\pi\chi(\Sigma)}{\operatorname{Area}(\Sigma)}. $$ Our main contribution is the analysis of the borderline case, which rules out equality when $\chi(\Sigma)\leq0$. More precisely, $$ \lambda_2(\Delta |\sigma|^2 2)<2\quad\text{whenever}\quad\chi(\Sigma)\leq0. $$ The proof combines the canonical Veronese embedding of $\mathbb{RP}^3$ into $\mathbb{S}^8$, the conformal test function method, an Obata-type rigidity argument, and the classification of closed flat minimal surfaces in $\mathbb{RP}^3$.
toXiv_bot_toot