Triple
T27562838
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Legendre polynomials |
E695818
|
entity |
| Predicate | haveParityProperty |
P70733
|
FINISHED |
| Object | P_n(-x) = (-1)^n P_n(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: P_n(-x) = (-1)^n P_n(x) | Statement: [Legendre polynomials, haveParityProperty, P_n(-x) = (-1)^n P_n(x)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: haveParityProperty Context triple: [Legendre polynomials, haveParityProperty, P_n(-x) = (-1)^n P_n(x)]
-
A.
hasParity
Indicates that two entities share the same parity property (e.g., both even or both odd) with respect to a specified attribute or value.
-
B.
hasParityPatterns
Indicates that there is a specific pattern or regularity in the parity (odd/even characteristics) associated with the related entities.
-
C.
hasFixedParityWith
Indicates that two entities share the same parity property (e.g., both even or both odd) and thus their parity remains consistently matched.
-
D.
requiresParityBetween
Indicates that a balanced or matching condition must hold between two entities, such that their relevant attributes or quantities share the same parity or equivalence.
-
E.
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.
- 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_69f62fbbc4408190b9afd456a429f61b |
completed | May 2, 2026, 5:09 p.m. |
| PD | Predicate disambiguation | batch_69f62c1921008190a62675a31f66a875 |
completed | May 2, 2026, 4:53 p.m. |
Created at: April 27, 2026, 1:40 p.m.