Triple

T21953167
Position Surface form Disambiguated ID Type / Status
Subject Cartan–Killing form E542117 entity
Predicate alsoKnownAs P39 FINISHED
Object Killing form — NE NERFINISHED

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: Killing form | Statement: [Cartan–Killing form, alsoKnownAs, Killing form]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Killing form
Context triple: [Cartan–Killing form, alsoKnownAs, Killing form]
  • A. Cartan–Killing form chosen
    The Cartan–Killing form is a canonical symmetric bilinear form on a Lie algebra that plays a central role in classifying and studying the structure of Lie algebras and Lie groups.
  • B. 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.
  • C. Cartan formula
    The Cartan formula is a fundamental identity in differential geometry that expresses the Lie derivative of a differential form in terms of the exterior derivative and interior product.
  • D. Maurer–Cartan form
    The Maurer–Cartan form is a canonical Lie algebra-valued 1-form on a Lie group that encodes its infinitesimal structure and underlies many constructions in differential geometry and gauge theory.
  • E. Pfaffian form
    A Pfaffian form is a type of differential 1-form on a manifold that encodes constraints or relations between variables, widely used in thermodynamics and differential geometry.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e0c47ef0e48190a50e1bcc43f4b3fd completed April 16, 2026, 11:14 a.m.
NER Named-entity recognition batch_69f1243d43d8819084e280b129631288 completed April 28, 2026, 9:18 p.m.
Created at: April 16, 2026, 7:59 p.m.