Triple
T32790005
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gröbner fan |
E838598
|
entity |
| Predicate | eachGröbnerConeCorrespondsTo |
P175120
|
FINISHED |
| Object | one reduced Gröbner basis |
—
|
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: one reduced Gröbner basis | Statement: [Gröbner fan, eachGröbnerConeCorrespondsTo, one reduced Gröbner basis]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: eachGröbnerConeCorrespondsTo Context triple: [Gröbner fan, eachGröbnerConeCorrespondsTo, one reduced Gröbner basis]
-
A.
irreducibleClosedSetsCorrespondTo
Indicates that there is a correspondence between irreducible closed sets and another class of objects (typically points or prime ideals) in a given topological or algebraic structure.
-
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.
canonicalVarieties
Indicates that one entity is a canonical or standard variety/form of another entity within a given classification or system.
-
D.
closedSubsetsOfAffineSpace
Indicates that the related entities are subsets of an affine space that are closed in the corresponding topology.
-
E.
isIntegralCombinationOf
Indicates that one entity can be expressed as a linear combination of other entities using only integer coefficients.
- 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_69f3493b83f48190be335cd42465cecf |
completed | April 30, 2026, 12:21 p.m. |
| NER | Named-entity recognition | batch_69f6cee547108190ad3bc84297d8f516 |
completed | May 3, 2026, 4:28 a.m. |
| PD | Predicate disambiguation | batch_69f6cc1667a48190b42684f6ec22dae9 |
completed | May 3, 2026, 4:16 a.m. |
| PDg | Predicate description generation | batch_69f6ce6c76bc8190b865343d3f5810c9 |
completed | May 3, 2026, 4:26 a.m. |
Created at: May 1, 2026, 1:14 a.m.