Triple

T15502787
Position Surface form Disambiguated ID Type / Status
Subject Three Pearls of Number Theory E379002 entity
Predicate author P4 FINISHED
Object Aigner, Martin
Martin Aigner was a German mathematician known for his contributions to combinatorics and number theory, as well as for writing influential expository books.
E1160954 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: Aigner, Martin | Statement: [Three Pearls of Number Theory, author, Aigner, Martin]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Aigner, Martin
Context triple: [Three Pearls of Number Theory, author, Aigner, Martin]
  • A. Ernst Specker
    Ernst Specker was a Swiss mathematician best known for his foundational work in logic and the co-discovery of the Kochen–Specker theorem in quantum mechanics.
  • B. Carl Fürstenberg
    Carl Fürstenberg was a prominent German banker and financier known for his influential role in early 20th-century German industry and transportation enterprises.
  • C. Oskar Reinhardt
    Oskar Reinhardt is a notable individual who shares the Reinhardt surname, recognized as a distinguished bearer of that family name.
  • D. Andreas Speiser
    Andreas Speiser was a Swiss mathematician known for his work in group theory, algebra, and the history and philosophy of mathematics.
  • E. Wolfgang Schmidt
    Wolfgang Schmidt is a German serial killer, also known as the "Beast of Beelitz," convicted of multiple murders committed in the early 1990s.
  • 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: Aigner, Martin
Triple: [Three Pearls of Number Theory, author, Aigner, Martin]
Generated description
Martin Aigner was a German mathematician known for his contributions to combinatorics and number theory, as well as for writing influential expository books.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Aigner, Martin
Target entity description: Martin Aigner was a German mathematician known for his contributions to combinatorics and number theory, as well as for writing influential expository books.
  • A. Ernst Specker
    Ernst Specker was a Swiss mathematician best known for his foundational work in logic and the co-discovery of the Kochen–Specker theorem in quantum mechanics.
  • B. Carl Fürstenberg
    Carl Fürstenberg was a prominent German banker and financier known for his influential role in early 20th-century German industry and transportation enterprises.
  • C. Oskar Reinhardt
    Oskar Reinhardt is a notable individual who shares the Reinhardt surname, recognized as a distinguished bearer of that family name.
  • D. Andreas Speiser
    Andreas Speiser was a Swiss mathematician known for his work in group theory, algebra, and the history and philosophy of mathematics.
  • E. Wolfgang Schmidt
    Wolfgang Schmidt is a German serial killer, also known as the "Beast of Beelitz," convicted of multiple murders committed in the early 1990s.
  • 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_69d85cd53a7c819080f5b9042c4c199e completed April 10, 2026, 2:13 a.m.
NER Named-entity recognition batch_69e03fcc5bb88190b8a9a81419a9a38b completed April 16, 2026, 1:47 a.m.
NED1 Entity disambiguation (via context triple) batch_69ff3669f908819087162b1b8a4e4320 completed May 9, 2026, 1:28 p.m.
NEDg Description generation batch_69ff375856448190a61979dfff751f06 completed May 9, 2026, 1:32 p.m.
NED2 Entity disambiguation (via description) batch_69ff382f1bbc8190810d0d825430f9ea completed May 9, 2026, 1:35 p.m.
Created at: April 10, 2026, 3:54 a.m.