Triple
T36469094
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Koebe function |
E898494
|
entity |
| Predicate | isUnivalentOn |
P160143
|
FINISHED |
| Object | {z \in \mathbb{C} : |z| < 1} |
—
|
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: {z \in \mathbb{C} : |z| < 1} | Statement: [Koebe function, isUnivalentOn, {z \in \mathbb{C} : |z| < 1}]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isUnivalentOn
Context triple: [Koebe function, isUnivalentOn, {z \in \mathbb{C} : |z| < 1}]
-
A.
isBijective
Indicates that a function establishes a one-to-one and onto correspondence between elements of its domain and codomain, with each element in both sets paired uniquely.
-
B.
isUnimodularOn
Indicates that a transformation or matrix, when applied to a specified domain or space, has determinant ±1 and thus preserves volume (or lattice structure) on that domain.
-
C.
isBiholomorphismOf
chosen
Indicates that one complex-analytic map is a biholomorphic equivalence between two complex manifolds, i.e., a holomorphic bijection whose inverse is also holomorphic.
-
D.
isUnipotent
Indicates that an element (typically a linear operator or matrix) differs from the identity by a nilpotent part, so that some power of (element − identity) equals zero.
-
E.
isSingleValuedOn
Indicates that for each element in the specified domain, the relation associates at most one corresponding value in the codomain.
- 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_69f7be9d07ac8190adf796cbef60daf6 |
completed | May 3, 2026, 9:31 p.m. |
| PD | Predicate disambiguation | batch_69f7bccf05bc8190b61fdb2b2a315811 |
completed | May 3, 2026, 9:23 p.m. |
Created at: May 3, 2026, 4:10 p.m.