Triple

T5837257
Position Surface form Disambiguated ID Type / Status
Subject Calabi–Yau manifold E129502 entity
Predicate namedAfter P63 FINISHED
Object Eugenio Calabi
Eugenio Calabi is an Italian-American mathematician renowned for his foundational work in differential geometry, particularly the conjecture that led to the theory of Calabi–Yau manifolds.
 E551965 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: Eugenio Calabi | Statement: [Calabi–Yau manifold, namedAfter, Eugenio Calabi]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Eugenio Calabi
Context triple: [Calabi–Yau manifold, namedAfter, Eugenio Calabi]
  • A. Shiing-Shen Chern
    Shiing-Shen Chern was a Chinese-American mathematician renowned for his foundational contributions to differential geometry and the development of Chern classes in topology.
  • B. Oscar Zariski
    Oscar Zariski was a pioneering 20th-century mathematician whose work fundamentally shaped modern algebraic geometry through his rigorous, abstract approach and influential textbooks.
  • C. Kunihiko Kodaira
    Kunihiko Kodaira was a Japanese mathematician renowned for his foundational work in algebraic geometry and complex manifolds, for which he received the Fields Medal in 1954.
  • D. Solomon Lefschetz
    Solomon Lefschetz was a prominent 20th-century mathematician best known for his foundational work in algebraic topology and geometry, including the development of Lefschetz fixed-point theory.
  • E. Friedrich Hirzebruch
    Friedrich Hirzebruch was a German mathematician renowned for his foundational work in topology and algebraic geometry, particularly the Hirzebruch–Riemann–Roch theorem.
  • 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: Eugenio Calabi
Triple: [Calabi–Yau manifold, namedAfter, Eugenio Calabi]
Generated description
Eugenio Calabi is an Italian-American mathematician renowned for his foundational work in differential geometry, particularly the conjecture that led to the theory of Calabi–Yau manifolds.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Eugenio Calabi
Target entity description: Eugenio Calabi is an Italian-American mathematician renowned for his foundational work in differential geometry, particularly the conjecture that led to the theory of Calabi–Yau manifolds.
  • A. Shiing-Shen Chern
    Shiing-Shen Chern was a Chinese-American mathematician renowned for his foundational contributions to differential geometry and the development of Chern classes in topology.
  • B. Oscar Zariski
    Oscar Zariski was a pioneering 20th-century mathematician whose work fundamentally shaped modern algebraic geometry through his rigorous, abstract approach and influential textbooks.
  • C. Kunihiko Kodaira
    Kunihiko Kodaira was a Japanese mathematician renowned for his foundational work in algebraic geometry and complex manifolds, for which he received the Fields Medal in 1954.
  • D. Solomon Lefschetz
    Solomon Lefschetz was a prominent 20th-century mathematician best known for his foundational work in algebraic topology and geometry, including the development of Lefschetz fixed-point theory.
  • E. Friedrich Hirzebruch
    Friedrich Hirzebruch was a German mathematician renowned for his foundational work in topology and algebraic geometry, particularly the Hirzebruch–Riemann–Roch theorem.
  • 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_69c0084af79c81908af128ccc29983d0 completed March 22, 2026, 3:18 p.m.
NER Named-entity recognition batch_69c034a48750819099ae917ae2b54e6d completed March 22, 2026, 6:27 p.m.
NED1 Entity disambiguation (via context triple) batch_69c0a19a6554819086cdae499f4d2247 completed March 23, 2026, 2:12 a.m.
NEDg Description generation batch_69c0a5ce005c8190a7da8d337caa089c completed March 23, 2026, 2:30 a.m.
NED2 Entity disambiguation (via description) batch_69c0a62cadf481909007a2a16cd36dbf completed March 23, 2026, 2:32 a.m.
Created at: March 22, 2026, 3:54 p.m.