Triple
T36007169
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Painlevé conjecture in celestial mechanics |
E1041303
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | conjecture in dynamical systems |
C11421
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: conjecture in dynamical systems Context triple: [Painlevé conjecture in celestial mechanics, instanceOf, conjecture in dynamical systems]
-
A.
theory of dynamical systems
The theory of dynamical systems studies how points in a mathematical space evolve over time under repeated application of rules or equations, revealing patterns such as stability, chaos, and long-term behavior.
-
B.
hyperbolic dynamical system
A hyperbolic dynamical system is one in which the tangent space at each point of an invariant set splits into uniformly contracting and expanding directions, leading to robust, structurally stable behavior under small perturbations.
-
C.
nonlinear dynamical system
A nonlinear dynamical system is a system whose evolution over time is governed by equations in which the change of state depends on the current state in a nonlinear way, often leading to complex behaviors such as bifurcations and chaos.
-
D.
mathematical conjecture
chosen
A mathematical conjecture is a proposed statement or proposition, based on observed patterns or partial evidence, that is believed to be true but has not yet been rigorously proven or disproven.
-
E.
conjecture in number theory
A conjecture in number theory is an unproven but plausibly true statement about the properties or relationships of integers, often motivated by patterns, partial results, or computational evidence.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69f76e2a02208190aedd1f9025a8b300 |
completed | May 3, 2026, 3:47 p.m. |
Created at: May 3, 2026, 4:07 p.m.