Triple
T27675250
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Chebyshev polynomials of the first kind |
E697760
|
entity |
| Predicate | T_4(x) |
P162940
|
FINISHED |
| Object | 8x^4 - 8x^2 + 1 |
—
|
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: 8x^4 - 8x^2 + 1 | Statement: [Chebyshev polynomials of the first kind, T_4(x), 8x^4 - 8x^2 + 1]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: T_4(x) Context triple: [Chebyshev polynomials of the first kind, T_4(x), 8x^4 - 8x^2 + 1]
-
A.
a(4)
Indicates that one entity is associated with the numeric attribute or category labeled “4” in the context of relation **a**.
-
B.
scaleDegree4
Indicates that one musical pitch or chord functions as the fourth degree (subdominant) of a given scale or key.
-
C.
fourthTier
Indicates that one entity occupies the fourth level, rank, or tier in a hierarchical ordering or classification relative to others.
-
D.
fourthTrack
Indicates that one entity is the fourth track in an ordered sequence of tracks associated with another entity.
-
E.
tenthTerm
Indicates that one entity is the tenth term in a sequence or ordered list associated with another entity.
- 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.