Triple
T27562841
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Legendre polynomials |
E695818
|
entity |
| Predicate | thirdPolynomial |
P62307
|
FINISHED |
| Object | P_2(x) = (1/2)(3x^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: P_2(x) = (1/2)(3x^2-1) | Statement: [Legendre polynomials, thirdPolynomial, P_2(x) = (1/2)(3x^2-1)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: thirdPolynomial Context triple: [Legendre polynomials, thirdPolynomial, P_2(x) = (1/2)(3x^2-1)]
-
A.
fourthPolynomial
Indicates that one entity is a fourth-degree (quartic) polynomial function of another entity.
-
B.
T_3(x)
Indicates that entity x is associated with the third type, category, or level within a defined classification or system.
-
C.
thirdElement
chosen
Indicates that one entity is the third element in an ordered sequence or tuple associated with another entity.
-
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.
thirdCongruence
Indicates that two geometric figures or angles are congruent as a consequence of a third congruence relationship (e.g., by transitivity or a third-angle/side congruence rule).
- 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_69ef53891af88190a193c5e2a1dac9b1 |
completed | April 27, 2026, 12:16 p.m. |
| NER | Named-entity recognition | batch_69f6c49627908190b3553474c7c3072b |
completed | May 3, 2026, 3:44 a.m. |
| PD | Predicate disambiguation | batch_69f6c3f23ae081909a52801266063a3c |
completed | May 3, 2026, 3:41 a.m. |
Created at: April 27, 2026, 1:40 p.m.