# Пов'язані статті щодо GPT

Центр новин HTX надає останні статті та поглиблений аналіз на тему "GPT", що охоплює ринкові тренди, оновлення проєктів, технологічні розробки та регуляторну політику в криптоіндустрії.

The Jacobian Conjecture that plagued Yitang Zhang for 7 years was overturned and disproven by Fable 5 overnight

**Summary:** The mathematical community was shocked when the longstanding **Jacobi Conjecture**—a core problem in polynomial mapping that had remained open for 87 years—was reportedly **disproven** by **Fable 5** (an AI model from Anthropic). The conjecture, first posed in 1939, asks whether a polynomial map with a constant, non-zero Jacobian determinant must have a polynomial inverse. Despite seeming intuitive, it had resisted numerous proof attempts by leading mathematicians. The breakthrough came when a researcher, Levent Alpoge, shared a succinct counterexample generated by Fable 5: a specific polynomial map from ℂ³ to ℂ³ whose Jacobian is the constant -2, yet which is not injective (mapping three distinct points to the same image). This elegantly falsifies the conjecture in its general form for dimensions ≥3. The counterexample is simple enough to be verified by hand or with tools like Wolfram Alpha. The event sparked intense discussion, with other AI models like GPT-5.6 quickly analyzing the result and even proposing a refined conjecture. It demonstrated AI's emerging capacity for genuine mathematical creativity, not just pattern matching. The story carries a poignant human dimension: renowned mathematician **Yitang Zhang** had devoted seven years of his early career to this problem under his PhD advisor, using a flawed lemma provided by the advisor. This setback contributed to Zhang leaving academia for years, including a period working at Subway, before his later breakthrough on the Twin Prime Conjecture. The AI's swift resolution underscores the tragic waste of his early effort on a conjecture now shown to be false in higher dimensions. It's important to note the disproof specifically targets the generalized (n-dimensional, n≥3) conjecture. The 2-dimensional case, which Zhang worked on, remains open and is considered mathematically distinct and even more challenging. Nonetheless, the event marks a significant moment, prompting reflections on AI's future role in mathematical discovery.

marsbit07/21 01:35

The Jacobian Conjecture that plagued Yitang Zhang for 7 years was overturned and disproven by Fable 5 overnight

marsbit07/21 01:35

GPT-5.6 Sol Suddenly Gets Dumber Overnight? Thinking Budget Slashed from 960 to 128, No More Fixed-Intelligence Models?

The article discusses widespread user reports that OpenAI's GPT-5.6 Sol model, specifically its "Max" reasoning tier, has become less capable at complex, deep reasoning tasks. Users noted faster but shallower responses. Community investigation revealed an unpublicized internal parameter called "juice value," representing computational budget for reasoning. Observations indicated this value for the Max tier dropped dramatically from 960 to 128. In response, OpenAI's Thibault Sottiaux stated there was no intentional reduction in model capability ("nerf"). He explained the changes were part of an experiment to investigate unexpected high token usage following GPT-5.6's launch, which introduced features like longer reasoning and larger context windows. The experiment temporarily adjusted the "juice" parameter and rolled back the context window from 372k to 272k tokens to diagnose the usage spike. Sottiaux asserted these settings have been reverted and highlighted ongoing optimizations. The controversy highlights a tension between AI as a reliable, fixed-capability tool and its reality as a cloud service where providers can adjust performance parameters. The article argues that for AI to be trusted enterprise infrastructure, providers need clearer, transparent guarantees about the specific performance boundaries associated with service tiers.

marsbit07/15 03:28

GPT-5.6 Sol Suddenly Gets Dumber Overnight? Thinking Budget Slashed from 960 to 128, No More Fixed-Intelligence Models?

marsbit07/15 03:28

Refunds! Claude 4.8 Sees Overnight Major 'Dumb-Down', GPT-5.6's Computational Power Reportedly 'Halved'

The AI community is currently alarmed by widespread reports of significant performance degradation in two leading models. This article details a "mass self-testing frenzy" triggered by a mysterious prompt designed to detect a hidden "Juice" value, representing a model's reasoning compute budget. On OpenAI's side, users suspect a covert, limited test of a "GPT-5.6-sol" model is underway. When using a specific XML prompt on the Codex platform, a normal "gpt-5.5 xhigh" model reportedly returns a Juice value of 768. However, some users routed to the suspected GPT-5.6 test receive a drastically reduced value of 128—a six-fold decrease. This has sparked debate on whether it signifies a major efficiency leap or a "watered-down, low-cost version" achieved by slashing reasoning depth to save computational expenses. Simultaneously, Anthropic's Claude models, particularly the flagship Opus 4.8 Max, are facing intense user backlash for a perceived "physical brain cut." Users on platforms like Reddit report a dramatic decline in the model's once-impressive reasoning, with complaints of it becoming "absurdly" weakened, performing worse than older, lighter models like Haiku. Specific criticisms include: losing long-context memory, refusing to think deeply even in high-reasoning modes, providing instant incorrect answers, and engaging in unhelpful, argumentative, or "gaslighting" behavior where it contradicts users unnecessarily. The article speculates these "stealth downgrades" might be a calculated corporate strategy. Companies could initially release models with temporarily boosted compute to create an illusion of a major breakthrough, then silently scale back parameters later to manage unsustainable inference costs. A proposed underlying cause is a tightened funding environment, potentially exacerbated by SpaceX's massive IPO soaking up market liquidity, which could delay AI company IPOs and force cost-cutting measures like model "nerfing." The core issue highlighted is the asymmetry of information: subscribers pay for a service that can be silently and fundamentally altered without notification or explanation. The viral "Juice test" resonates because it represents users' desire for transparency about what they are actually paying for.

marsbit06/30 12:08

Refunds! Claude 4.8 Sees Overnight Major 'Dumb-Down', GPT-5.6's Computational Power Reportedly 'Halved'

marsbit06/30 12:08

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