Triple
T36469191
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | distortion theorem |
E898496
|
entity |
| Predicate | extremalFunctionExample |
P96514
|
FINISHED |
| Object | k(z)=z/(1-z)^2 |
—
|
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: k(z)=z/(1-z)^2 | Statement: [distortion theorem, extremalFunctionExample, k(z)=z/(1-z)^2]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: extremalFunctionExample Context triple: [distortion theorem, extremalFunctionExample, k(z)=z/(1-z)^2]
-
A.
extremalFunction
chosen
Indicates that a function attains an extreme value (such as a minimum or maximum) under given conditions or over a specified domain.
-
B.
extremalCase
Indicates a relationship where a situation, value, or configuration represents the most extreme or boundary case within a given set, range, or conditions.
-
C.
extremalFamily
Indicates a relationship where a collection of objects forms an extremal set, meaning it maximizes or minimizes a specified property under given constraints.
-
D.
isExtremal
Indicates that an entity represents an extreme (such as a maximum, minimum, or boundary) within a given set, structure, or ordering.
-
E.
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.
- 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_69f76e58ebd88190b75d9b169b59d793 |
completed | May 3, 2026, 3:48 p.m. |
| NER | Named-entity recognition | batch_69f7c371931c8190afb1d4dd5157f92c |
completed | May 3, 2026, 9:51 p.m. |
| PD | Predicate disambiguation | batch_69f7c1b91fd88190ab85afd626603769 |
completed | May 3, 2026, 9:44 p.m. |
Created at: May 3, 2026, 4:10 p.m.