Triple
T36469084
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Koebe function |
E898494
|
entity |
| Predicate | isExtremalFor |
P96514
|
FINISHED |
| Object | Koebe quarter theorem |
E259770
|
NE 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: Koebe quarter theorem | Statement: [Koebe function, isExtremalFor, Koebe quarter theorem]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isExtremalFor Context triple: [Koebe function, isExtremalFor, Koebe quarter theorem]
-
A.
isExtremal
Indicates that an entity represents an extreme (such as a maximum, minimum, or boundary) within a given set, structure, or ordering.
-
B.
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.
-
C.
extremalFunction
chosen
Indicates that a function attains an extreme value (such as a minimum or maximum) under given conditions or over a specified domain.
-
D.
extremalCase
Indicates a relationship where a situation, value, or configuration represents the most extreme or boundary case within a given set, range, or conditions.
-
E.
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.
- F. None of above.
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_69f76e58ebd88190b75d9b169b59d793 |
completed | May 3, 2026, 3:48 p.m. |
| NER | Named-entity recognition | batch_69f7be9d07ac8190adf796cbef60daf6 |
completed | May 3, 2026, 9:31 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a3a20b31b3081908d9e34ad87727732 |
completed | June 23, 2026, 5:59 a.m. |
| PD | Predicate disambiguation | batch_69f7bccf05bc8190b61fdb2b2a315811 |
completed | May 3, 2026, 9:23 p.m. |
Created at: May 3, 2026, 4:10 p.m.