Triple

T1509456
Position Surface form Disambiguated ID Type / Status
Subject Pavel Alexandrov E33979 entity
Predicate coAuthor P398 FINISHED
Object Heinz Hopf
Heinz Hopf was a German mathematician renowned for his foundational contributions to topology, including the Hopf fibration and Hopf invariant.
E173181 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: Heinz Hopf | Statement: [Pavel Alexandrov, coAuthor, Heinz Hopf]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Heinz Hopf
Context triple: [Pavel Alexandrov, coAuthor, Heinz Hopf]
  • A. Friedrich Hirzebruch
    Friedrich Hirzebruch was a German mathematician renowned for his foundational work in topology and algebraic geometry, particularly the Hirzebruch–Riemann–Roch theorem.
  • B. Hassler Whitney
    Hassler Whitney was an influential American mathematician known for foundational contributions to differential topology and geometry, including work on manifolds, embeddings, and singularities.
  • C. 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.
  • D. Max Dehn
    Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
  • E. John Milnor
    John Milnor is an American mathematician renowned for his groundbreaking work in differential topology, K-theory, and dynamical systems, and is one of the most influential figures in modern mathematics.
  • 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: Heinz Hopf
Triple: [Pavel Alexandrov, coAuthor, Heinz Hopf]
Generated description
Heinz Hopf was a German mathematician renowned for his foundational contributions to topology, including the Hopf fibration and Hopf invariant.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Heinz Hopf
Target entity description: Heinz Hopf was a German mathematician renowned for his foundational contributions to topology, including the Hopf fibration and Hopf invariant.
  • A. Friedrich Hirzebruch
    Friedrich Hirzebruch was a German mathematician renowned for his foundational work in topology and algebraic geometry, particularly the Hirzebruch–Riemann–Roch theorem.
  • B. Hassler Whitney
    Hassler Whitney was an influential American mathematician known for foundational contributions to differential topology and geometry, including work on manifolds, embeddings, and singularities.
  • C. 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.
  • D. Max Dehn
    Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
  • E. John Milnor
    John Milnor is an American mathematician renowned for his groundbreaking work in differential topology, K-theory, and dynamical systems, and is one of the most influential figures in modern mathematics.
  • 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_69a885f352a4819099b24ff15489dede completed March 4, 2026, 7:20 p.m.
NER Named-entity recognition batch_69a8891daf708190a23d6c920eac8b6d completed March 4, 2026, 7:33 p.m.
NED1 Entity disambiguation (via context triple) batch_69ad233c254c8190b52b34526c9cb3cb completed March 8, 2026, 7:20 a.m.
NEDg Description generation batch_69ad242d20448190a27ff7414d9cff21 completed March 8, 2026, 7:24 a.m.
NED2 Entity disambiguation (via description) batch_69ad24e6e9688190a20c67c181936e98 completed March 8, 2026, 7:27 a.m.
Created at: March 4, 2026, 7:24 p.m.