Triple

T15402659
Position Surface form Disambiguated ID Type / Status
Subject Erich Kähler E368361 entity
Predicate notableConcept P201 FINISHED
Object Kähler potential
The Kähler potential is a scalar function whose complex second derivatives locally determine the metric and symplectic structure of a Kähler manifold in complex differential geometry.
E1155255 NE FINISHED

How this triple was built (4 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 potential | Statement: [Erich Kähler, notableConcept, Kähler potential]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Kähler potential
Context triple: [Erich Kähler, notableConcept, Kähler potential]
  • A. Kähler form
    A Kähler form is a closed, positive-definite (1,1)-form that defines the compatible symplectic and Hermitian structure on a Kähler manifold.
  • B. Kähler manifold
    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.
  • C. Calabi–Yau metric
    A Calabi–Yau metric is a special Ricci-flat Kähler metric with SU(n) holonomy that endows Calabi–Yau manifolds with their characteristic geometric and physical properties.
  • 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. Calabi–Yau manifold
    A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Kähler potential
Triple: [Erich Kähler, notableConcept, Kähler potential]
Generated description
The Kähler potential is a scalar function whose complex second derivatives locally determine the metric and symplectic structure of a Kähler manifold in complex differential geometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Kähler potential
Target entity description: The Kähler potential is a scalar function whose complex second derivatives locally determine the metric and symplectic structure of a Kähler manifold in complex differential geometry.
  • A. Kähler form
    A Kähler form is a closed, positive-definite (1,1)-form that defines the compatible symplectic and Hermitian structure on a Kähler manifold.
  • B. Kähler manifold
    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.
  • C. Calabi–Yau metric
    A Calabi–Yau metric is a special Ricci-flat Kähler metric with SU(n) holonomy that endows Calabi–Yau manifolds with their characteristic geometric and physical properties.
  • 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. Calabi–Yau manifold
    A Calabi–Yau manifold is a special type of complex manifold with vanishing first Chern class that plays a central role in string theory compactifications and complex algebraic geometry.
  • F. None of above. chosen

Provenance (5 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.
NEDg Description generation batch_69ff145ac8e081908b075cee67e82aa3 completed May 9, 2026, 11:02 a.m.
NED2 Entity disambiguation (via description) batch_69ff1509e5a48190b69f1a44d793e07d completed May 9, 2026, 11:05 a.m.
Created at: April 10, 2026, 3:19 a.m.