Triple
T25602529
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | GF(p) |
E641824
|
entity |
| Predicate | hasPolynomialRing |
P168033
|
FINISHED |
| Object | GF(p)[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: GF(p)[x] | Statement: [GF(p), hasPolynomialRing, GF(p)[x]]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasPolynomialRing Context triple: [GF(p), hasPolynomialRing, GF(p)[x]]
-
A.
hasCoefficientRing
Indicates that one mathematical structure (typically an algebra or module) is defined over, and takes its scalar values from, a specified ring that serves as its coefficient ring.
-
B.
hasAssociatedPolynomial
Indicates that one entity is linked to another entity that serves as its associated polynomial, typically representing or characterizing some of its properties or behavior.
-
C.
isAlgebraicOver
Indicates that one mathematical object satisfies a nontrivial polynomial equation whose coefficients lie in the other object (typically a field or ring), expressing algebraic dependence over that base.
-
D.
supportsSymbolicPolynomials
Indicates that an entity is capable of handling or operating on polynomials represented symbolically rather than as purely numeric values.
-
E.
arePolynomialsIn
Indicates that the specified expressions are polynomials in the given variable(s) or over the given ring/field.
- 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_69e75dc6ccf081908d49578fd36a76d5 |
completed | April 21, 2026, 11:21 a.m. |
| NER | Named-entity recognition | batch_69f673633d288190b52ceb9f8a057c44 |
completed | May 2, 2026, 9:57 p.m. |
| PD | Predicate disambiguation | batch_69f66ec3d3d48190ab2f2b71939e572e |
completed | May 2, 2026, 9:38 p.m. |
| PDg | Predicate description generation | batch_69f67256d064819094be04fc1bbbc635 |
completed | May 2, 2026, 9:53 p.m. |
Created at: April 21, 2026, 4:36 p.m.