Triple
T27562842
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Legendre polynomials |
E695818
|
entity |
| Predicate | fourthPolynomial |
P167125
|
FINISHED |
| Object | P_3(x) = (1/2)(5x^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: P_3(x) = (1/2)(5x^3-3x) | Statement: [Legendre polynomials, fourthPolynomial, P_3(x) = (1/2)(5x^3-3x)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: fourthPolynomial Context triple: [Legendre polynomials, fourthPolynomial, P_3(x) = (1/2)(5x^3-3x)]
-
A.
T_4(x)
Indicates that entity x has the property, state, or classification labeled as T_4.
-
B.
scaleDegree4
Indicates that one musical pitch or chord functions as the fourth degree (subdominant) of a given scale or key.
-
C.
fourthSingle
Indicates that an entity is the fourth individual item or occurrence in a sequence, considered on its own rather than as part of a group.
-
D.
minimalPolynomialOfAdjoinedElement
Indicates the relation where a given polynomial is the minimal polynomial (over a specified base field or ring) of an element obtained by adjoining that element to the base structure.
-
E.
appliesToPolynomialsOf
Indicates that a rule, operation, or property is defined for and relevant to polynomials of a specified type or form.
- 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_69ef53891af88190a193c5e2a1dac9b1 |
completed | April 27, 2026, 12:16 p.m. |
| NER | Named-entity recognition | batch_69f6653ccf648190b65fb1141928e47e |
completed | May 2, 2026, 8:57 p.m. |
| PD | Predicate disambiguation | batch_69f6633451948190bcc0410602bb4914 |
completed | May 2, 2026, 8:48 p.m. |
| PDg | Predicate description generation | batch_69f663ff176c8190aaadb475f75daee4 |
completed | May 2, 2026, 8:52 p.m. |
Created at: April 27, 2026, 1:40 p.m.