Triple
T27675249
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Chebyshev polynomials of the first kind |
E697760
|
entity |
| Predicate | T_3(x) |
P162939
|
FINISHED |
| Object | 4x^3 - 3x |
—
|
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: 4x^3 - 3x | Statement: [Chebyshev polynomials of the first kind, T_3(x), 4x^3 - 3x]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: T_3(x) Context triple: [Chebyshev polynomials of the first kind, T_3(x), 4x^3 - 3x]
-
A.
valueAtThree
Indicates the value or result that a function, expression, or quantity takes specifically when its input or argument is 3.
-
B.
thirdElement
Indicates that one entity is the third element in an ordered sequence or tuple associated with another entity.
-
C.
thirdSyllable
Indicates that one entity is the third syllable within, or corresponding to, another entity (such as a word or phrase).
-
D.
thirdTier
Indicates that an entity occupies a third level or rank within a hierarchical structure or classification.
-
E.
thirdWord
Indicates that one entity is the third word in sequence within another entity (such as a text or phrase).
- F. None of above. chosen
Provenance (4 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. |
| PDg | Predicate description generation | batch_69f6305219f08190b55f6193a4a49984 |
completed | May 2, 2026, 5:11 p.m. |
Created at: April 27, 2026, 2:43 p.m.