Triple
T23953779
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Yamabe problem |
E603721
|
entity |
| Predicate | typicalEquationForm |
P97265
|
FINISHED |
| Object | L_g u = c u^{ rac{n+2}{n-2}} on an n-dimensional manifold |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: L_g u = c u^{ rac{n+2}{n-2}} on an n-dimensional manifold | Statement: [Yamabe problem, typicalEquationForm, L_g u = c u^{ rac{n+2}{n-2}} on an n-dimensional manifold]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: typicalEquationForm
Context triple: [Yamabe problem, typicalEquationForm, L_g u = c u^{ rac{n+2}{n-2}} on an n-dimensional manifold]
-
A.
simplifiesEquation
Indicates that one entity performs an operation that reduces an equation to a simpler or more manageable form while preserving its equivalence.
-
B.
curveEquationForm
Indicates that one entity is expressed as the mathematical equation or algebraic form that defines the shape or properties of a curve associated with another entity.
-
C.
hasEquationForm
chosen
Indicates that one entity is expressed or represented in the form of a specific equation.
-
D.
simplifiedForm
Indicates that one entity is a reduced or less complex version of another, preserving essential meaning while omitting detail or complexity.
-
E.
curveEquation
Indicates that one entity is the mathematical equation that defines or represents the curve described by the other entity.
- F. None of above.
Provenance (3 batches)
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_69e2954222288190a7323554d0cca8d7 |
completed | April 17, 2026, 8:17 p.m. |
| NER | Named-entity recognition | batch_69f1d0d558748190a51b5732a3e6713c |
completed | April 29, 2026, 9:35 a.m. |
| PD | Predicate disambiguation | batch_69f1615518088190a206f54e2fdb14a3 |
completed | April 29, 2026, 1:39 a.m. |
Created at: April 17, 2026, 9:21 p.m.