Triple
T15402643
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Erich Kähler |
E368361
|
entity |
| Predicate | knownFor |
P22
|
FINISHED |
| Object | Kähler manifolds |
E23190
|
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: Kähler manifolds | Statement: [Erich Kähler, knownFor, Kähler manifolds]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Kähler manifolds Context triple: [Erich Kähler, knownFor, Kähler manifolds]
-
A.
Kähler manifold
chosen
A Kähler manifold is a complex manifold equipped with a Hermitian metric whose associated symplectic form is closed, making it simultaneously a complex, Riemannian, and symplectic manifold in a compatible way.
-
B.
Kähler geometry
Kähler geometry is a branch of differential geometry studying complex manifolds equipped with a compatible symplectic form and Riemannian metric, leading to rich interactions between complex, symplectic, and Riemannian geometry.
-
C.
Kähler identities
Kähler identities are fundamental commutation relations in Kähler geometry that link the Lefschetz operator, its adjoint, and the Dolbeault operators, playing a key role in Hodge theory and complex differential geometry.
-
D.
Kähler cone
The Kähler cone is the convex cone in the cohomology of a complex manifold consisting of classes that can be represented by Kähler forms, encoding its possible Kähler metrics and playing a central role in complex and algebraic geometry.
-
E.
Differential Analysis on Complex Manifolds
"Differential Analysis on Complex Manifolds" is a foundational mathematical monograph that systematically develops the theory of differential and complex geometry on complex manifolds.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
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_69d85a16c68c819099c1b547fbc87b32 |
completed | April 10, 2026, 2:01 a.m. |
| NER | Named-entity recognition | batch_69e03e8ea0ac8190a5c68b1951ad3db1 |
completed | April 16, 2026, 1:42 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ff13584f8881908b2527c51f85ae28 |
completed | May 9, 2026, 10:58 a.m. |
Created at: April 10, 2026, 3:19 a.m.