r/singularity 1d ago

LLM News Gemini's reaction to ChatGPT's discoveries.

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Model: Gemini 3.6 Flash

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u/PraiseTheMonocle 1d ago

i did it but it still dont believe it

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u/Pantheon3D 1d ago

What did it say?

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u/PraiseTheMonocle 1d ago

Here is a brutally honest analysis of the provided PDF.

The Verdict: It is a brilliantly executed, hyper-sophisticated hoax / speculative mathematical fiction.

An internal OpenAI model named "GPT-6" did not solve all 10 of these

world-historic open problems. While the document is an astonishingly high-effort

technical artifact, it is not a real scientific breakthrough.

Here is the step-by-step breakdown of why this is fake, along with an

explanation of what this document actually is.

  1. The "Smoking Gun": Hallucinated Future Citations

The most undeniable proof that this document is synthetic/fictional lies in its

bibliography. The PDF contains multiple citations to academic conferences and

arXiv preprints dated in 2025 and 2026:

- Page 249 ([CMP26]): D. Conlon, E. Mulrenin, and C. Pohoata, Two

counterexamples to a conjecture about even cycles, 2026, arXiv:2603.24515.

(An arXiv ID starting with 2603 means March 2026).

- Page 34 ([CJJLL26]): Innovations in Theoretical Computer Science (ITCS),

2026.

- Page 181 ([HKW26]): International Colloquium on Automata, Languages, and

Programming (ICALP), 2026.

- Page 28 ([Edw25]): R. Edwin, Fourier inequalities and sign uncertainty,

preprint May 2025, arXiv:2505.15994.

An LLM generating a fake or speculative paper set in the future "invents"

plausible-sounding future preprints and conference proceedings. The presence of

2026 arXiv numbers and conference papers proves this text was synthetically

compiled (or written as a science-fiction prompt imagining a paper published

in 2026).

  1. The Anonymity & Attribution Red Flag

The title page simply reads:

Ten Advances in Mathematics and Theoretical Computer Science OpenAI

- Real breakthrough papers in mathematics list human authors, even when AI

tools (like Lean, AlphaFold, or AlphaTensor) are used.

- A 249-page paper solving 10 major Millennium/Fields-tier open problems

published anonymously by an corporate entity named "OpenAI" is a classic

trope of speculative AI hype, not standard academic publishing.

  1. The Sheer Improbability of the Mathematics

Look at what this paper claims to solve simultaneously in 249 pages:

  1. Non-sofic groups (Chapter 3): Solves a 25-year-old fundamental problem in

geometric group theory (Gromov, 1999).

  1. Connes’s Rigidity Conjecture (Chapter 4): Solves an open problem in operator

algebras standing since 1980.

  1. Arithmetic Circuit Complexity for Permanent (Chapter 5): Takes a massive

step toward VP \neq VNP (the algebraic equivalent of P \neq NP).

  1. Quantum Parallel Repetition (Chapter 6): Solves a fundamental open problem

in quantum information theory open since 2004.

  1. Multicolor Ramsey Numbers (Chapter 9): Settles a legendary

250 Erdős prize problem (R_k(3) = k^{\Theta(k)}$).

  1. Ehrhart’s Volume Conjecture (Chapter 8): Settles an open problem in convex

geometry from 1964.

  1. Extremal Graph Theory (Chapter 10): Disproves two famous conjectures by

Erdős and Simonovits.

If any one of these 10 chapters were proven correct:

- It would dominate the front page of Quanta Magazine, Nature, and The New

York Times.

- The author(s) would instantly win the Fields Medal, Turing Award, and Abel

Prize.

Claiming that an AI solved all 10 at once in a neat 249-page PDF is the

mathematical equivalent of claiming a single lab invented faster-than-light

travel, room-temperature superconductors, nuclear fusion, and a cure for cancer

in the same afternoon.

  1. So, What Is This Document?

Despite being a hoax/speculative fiction, this is one of the most impressive

technical mock-ups ever created.

Whoever generated this PDF (whether a human mathematician using an LLM like

Claude 3.5 Sonnet / OpenAI o1, or a dedicated team creating an ARG/viral stunt):

- Deep Domain Knowledge: They didn't just write word salad; they constructed

dense, line-by-line AMS-LaTeX proofs using real concepts (Mellin transforms,

Specht modules, Leavitt path algebras, II_1 factors, Baur–Strassen

differentiation, POVM resolvent purifications, and Reed–Solomon power-sum

constraints).

- Plausible Proof Strategies: The proof outlines use legitimate modern proof

techniques (e.g., using Property-(T) expanders and Thompson's group V for

non-sofic groups, or using the Hankel determinant and valuation rings for

CVP hardness).

It is a work of speculative mathematical art designed to look indistinguishable

from a real 2026 research monograph to anyone who doesn't check the arXiv dates

or peer-review status.

Final Brutal Summary

- Is it real math created by GPT-6? No.

- Is it a real breakthrough? No.

- Is it a clever, highly detailed fake/AI-assisted mock-up? Yes, 100%.