Triple
T27675310
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gegenbauer polynomials |
E697761
|
entity |
| Predicate | symmetricProperty |
P70733
|
FINISHED |
| Object | C_n^{(\lambda)}(-x) = (-1)^n C_n^{(\lambda)}(x) |
—
|
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: C_n^{(\lambda)}(-x) = (-1)^n C_n^{(\lambda)}(x) | Statement: [Gegenbauer polynomials, symmetricProperty, C_n^{(\lambda)}(-x) = (-1)^n C_n^{(\lambda)}(x)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: symmetricProperty
Context triple: [Gegenbauer polynomials, symmetricProperty, C_n^{(\lambda)}(-x) = (-1)^n C_n^{(\lambda)}(x)]
-
A.
symmetricIn
Indicates that the relationship or property holds identically when the roles of the related entities are interchanged, i.e., it is invariant under swapping its arguments.
-
B.
symmetryOf
Indicates that one entity is the symmetry counterpart or symmetric form of another entity, typically related by a specific symmetry operation or transformation.
-
C.
parityProperty
chosen
Indicates that a relationship or quantity has a specific parity (such as being even, odd, or matching in parity) according to the defined property.
-
D.
isSymmetricAbout
Indicates that one entity is a mirror image of another with respect to a specified axis, point, or plane of symmetry.
-
E.
isSymmetric
Indicates that a relationship holds in both directions between two entities, so if it applies from A to B, it also applies from B to A.
- 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_69ef590d458c81909583290c3cd0478b |
completed | April 27, 2026, 12:39 p.m. |
| NER | Named-entity recognition | batch_69f63532e35881909bfe0a8a315e2efe |
completed | May 2, 2026, 5:32 p.m. |
| PD | Predicate disambiguation | batch_69f62c1a92648190835a2c5250d8c758 |
completed | May 2, 2026, 4:53 p.m. |
Created at: April 27, 2026, 2:43 p.m.