Triple
T32789992
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gröbner fan |
E838598
|
entity |
| Predicate | maximalConesCorrespondTo |
P175120
|
FINISHED |
| Object | distinct reduced Gröbner bases |
—
|
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: distinct reduced Gröbner bases | Statement: [Gröbner fan, maximalConesCorrespondTo, distinct reduced Gröbner bases]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: maximalConesCorrespondTo Context triple: [Gröbner fan, maximalConesCorrespondTo, distinct reduced Gröbner bases]
-
A.
eachGröbnerConeCorrespondsTo
chosen
Indicates that every Gröbner cone in a given fan or decomposition is associated with, and uniquely determines, a specific algebraic or combinatorial object (such as an initial ideal or term order).
-
B.
maximalIdealsCorrespondTo
Indicates that there is a correspondence or bijective relationship between maximal ideals in one structure and certain objects or properties in another structure.
-
C.
maximalityConcept
Indicates that one concept is maximal with respect to a given ordering or property, such that no other comparable concept strictly exceeds it under that criterion.
-
D.
dimensionOfConesDependsOn
Indicates that the dimensionality of a cone is determined by, or functionally depends on, another specified factor or structure.
-
E.
maximalTorus
Indicates that one group is a maximal torus inside another group, meaning it is a largest possible connected, abelian, diagonalizable subgroup not properly contained in any larger such torus.
- 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_69f3493b83f48190be335cd42465cecf |
completed | April 30, 2026, 12:21 p.m. |
| NER | Named-entity recognition | batch_69fba2877b248190a974eb092243c0c4 |
completed | May 6, 2026, 8:20 p.m. |
| PD | Predicate disambiguation | batch_69fb8d06a1b48190a937aa410d159dfa |
completed | May 6, 2026, 6:48 p.m. |
Created at: May 1, 2026, 1:14 a.m.