Triple

T16991799
Position Surface form Disambiguated ID Type / Status
Subject The Fifty-Nine Icosahedra E412210 entity
Predicate coAuthor P398 FINISHED
Object P. Du Val
P. Du Val was a British mathematician and geometer known for his work on algebraic geometry and singularities, and as a co-author of the classic text "The Fifty-Nine Icosahedra."
E1246954 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: P. Du Val | Statement: [The Fifty-Nine Icosahedra, coAuthor, P. Du Val]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: P. Du Val
Context triple: [The Fifty-Nine Icosahedra, coAuthor, P. Du Val]
  • A. W. V. D. Hodge
    W. V. D. Hodge was a British mathematician renowned for his foundational work in algebraic geometry and for developing Hodge theory, which links topology, differential geometry, and complex analysis.
  • B. Max Noether
    Max Noether was a prominent 19th-century German mathematician known for his foundational contributions to algebraic geometry and as the father of Emmy Noether.
  • C. J. W. P. Hirschfeld
    J. W. P. Hirschfeld is a mathematician best known for his influential work in finite geometry and algebraic geometry over finite fields.
  • 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. 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.
  • 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: P. Du Val
Triple: [The Fifty-Nine Icosahedra, coAuthor, P. Du Val]
Generated description
P. Du Val was a British mathematician and geometer known for his work on algebraic geometry and singularities, and as a co-author of the classic text "The Fifty-Nine Icosahedra."
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: P. Du Val
Target entity description: P. Du Val was a British mathematician and geometer known for his work on algebraic geometry and singularities, and as a co-author of the classic text "The Fifty-Nine Icosahedra."
  • A. W. V. D. Hodge
    W. V. D. Hodge was a British mathematician renowned for his foundational work in algebraic geometry and for developing Hodge theory, which links topology, differential geometry, and complex analysis.
  • B. Max Noether
    Max Noether was a prominent 19th-century German mathematician known for his foundational contributions to algebraic geometry and as the father of Emmy Noether.
  • C. J. W. P. Hirschfeld
    J. W. P. Hirschfeld is a mathematician best known for his influential work in finite geometry and algebraic geometry over finite fields.
  • 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. 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.
  • 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_69d886cb581c8190ab05f4b429c9cd85 completed April 10, 2026, 5:12 a.m.
NER Named-entity recognition batch_69e3d280e3348190a27bd5dc7cf87c0e completed April 18, 2026, 6:50 p.m.
NED1 Entity disambiguation (via context triple) batch_6a011b433e688190ac8dda10638a197f completed May 10, 2026, 11:56 p.m.
NEDg Description generation batch_6a011cc1afc48190b83e3203407c1d7f completed May 11, 2026, 12:03 a.m.
NED2 Entity disambiguation (via description) batch_6a011d67c82c8190b737406e8952eb2b completed May 11, 2026, 12:05 a.m.
Created at: April 10, 2026, 5:32 a.m.