Triple

T17661239
Position Surface form Disambiguated ID Type / Status
Subject affine Lie algebras E440255 entity
Predicate hasKeyContributor P30146 FINISHED
Object Victor Kac
Victor Kac is a Russian-American mathematician renowned for his foundational work in representation theory, particularly the theory of Kac–Moody and affine Lie algebras.
 E1280796 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: Victor Kac | Statement: [affine Lie algebras, hasKeyContributor, Victor Kac]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Victor Kac
Context triple: [affine Lie algebras, hasKeyContributor, Victor Kac]
  • A. Vladimir Drinfeld
    Vladimir Drinfeld is a Ukrainian-American mathematician renowned for his foundational work in quantum groups, the Langlands program, and algebraic geometry, for which he received the Fields Medal.
  • B. Alexander Zamolodchikov
    Alexander Zamolodchikov is a prominent theoretical physicist renowned for his influential work in quantum field theory and conformal field theory.
  • C. Vladimir Retakh
    Vladimir Retakh is a mathematician known for his work in noncommutative algebra and for being one of the prominent students of Israel Gelfand.
  • D. Yakov Eliashberg
    Yakov Eliashberg is a prominent Russian-American mathematician renowned for his foundational contributions to symplectic and contact topology.
  • E. David Kazhdan
    David Kazhdan is a prominent Israeli-American mathematician known for his influential work in representation theory, particularly the introduction of Kazhdan–Lusztig polynomials and Kazhdan’s property (T).
  • 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: Victor Kac
Triple: [affine Lie algebras, hasKeyContributor, Victor Kac]
Generated description
Victor Kac is a Russian-American mathematician renowned for his foundational work in representation theory, particularly the theory of Kac–Moody and affine Lie algebras.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Victor Kac
Target entity description: Victor Kac is a Russian-American mathematician renowned for his foundational work in representation theory, particularly the theory of Kac–Moody and affine Lie algebras.
  • A. Vladimir Drinfeld
    Vladimir Drinfeld is a Ukrainian-American mathematician renowned for his foundational work in quantum groups, the Langlands program, and algebraic geometry, for which he received the Fields Medal.
  • B. Alexander Zamolodchikov
    Alexander Zamolodchikov is a prominent theoretical physicist renowned for his influential work in quantum field theory and conformal field theory.
  • C. Vladimir Retakh
    Vladimir Retakh is a mathematician known for his work in noncommutative algebra and for being one of the prominent students of Israel Gelfand.
  • D. Yakov Eliashberg
    Yakov Eliashberg is a prominent Russian-American mathematician renowned for his foundational contributions to symplectic and contact topology.
  • E. David Kazhdan
    David Kazhdan is a prominent Israeli-American mathematician known for his influential work in representation theory, particularly the introduction of Kazhdan–Lusztig polynomials and Kazhdan’s property (T).
  • 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_69d8b9e87e18819087104a44dc4dc5b1 completed April 10, 2026, 8:50 a.m.
NER Named-entity recognition batch_69e46ea67f8081909da164ca21a98675 completed April 19, 2026, 5:56 a.m.
NED1 Entity disambiguation (via context triple) batch_6a02165a9da081909f18e2b240f15281 completed May 11, 2026, 5:48 p.m.
NEDg Description generation batch_6a0216f564f88190863cdb92eb533532 completed May 11, 2026, 5:50 p.m.
NED2 Entity disambiguation (via description) batch_6a021784a1188190acc6f4f5d81a8662 completed May 11, 2026, 5:53 p.m.
Created at: April 10, 2026, 9:43 a.m.