Triple
T25432910
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hurwitz theorem |
E637304
|
entity |
| Predicate | extremalCase |
P158833
|
FINISHED |
| Object | conjugate of the golden ratio |
—
|
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: conjugate of the golden ratio | Statement: [Hurwitz theorem, extremalCase, conjugate of the golden ratio]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: extremalCase Context triple: [Hurwitz theorem, extremalCase, conjugate of the golden ratio]
-
A.
isExtremalWhen
Indicates that a given entity or configuration attains an extreme value (such as a maximum or minimum) of some specified quantity or property under certain conditions.
-
B.
extremalFunction
Indicates that a function attains an extreme value (such as a minimum or maximum) under given conditions or over a specified domain.
-
C.
typicalExtremalFamily
Indicates that a given family of objects (such as sets or structures) exemplifies the standard or characteristic configuration that achieves an extremal bound in a particular combinatorial or optimization problem.
-
D.
hasExtremePoint
Indicates that one entity possesses or includes another entity that is an extreme (e.g., maximum or minimum) point within its structure or boundary.
-
E.
boundaryCase
Indicates that one entity represents a limiting or extreme condition used to test or define the valid range or behavior of another entity.
- 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_69e75db58a1c8190891b9ff7c2f8414e |
completed | April 21, 2026, 11:21 a.m. |
| NER | Named-entity recognition | batch_69f5f6dc7d088190b1e4c191172ea256 |
completed | May 2, 2026, 1:06 p.m. |
| PD | Predicate disambiguation | batch_69f4806d93dc8190b9dff4c63186faff |
completed | May 1, 2026, 10:29 a.m. |
| PDg | Predicate description generation | batch_69f48b9058d081908ec9af261ee092e2 |
completed | May 1, 2026, 11:16 a.m. |
Created at: April 21, 2026, 1:58 p.m.