Triple

T10829345
Position Surface form Disambiguated ID Type / Status
Subject K-theory E255574 entity
Predicate developedBy P73 FINISHED
Object Daniel Quillen
Daniel Quillen was an American mathematician renowned for revolutionizing algebraic K-theory and for his influential contributions to homotopy theory, earning him the Fields Medal in 1978.
E886928 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: Daniel Quillen | Statement: [K-theory, developedBy, Daniel Quillen]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Daniel Quillen
Context triple: [K-theory, developedBy, Daniel Quillen]
  • A. J. Peter May
    J. Peter May is an American mathematician renowned for his influential work in algebraic topology, category theory, and homotopy theory.
  • B. Norman Steenrod
    Norman Steenrod was an influential American mathematician best known for his foundational work in algebraic topology, including the development of Steenrod squares and contributions to cohomology theory.
  • C. Max Karoubi
    Max Karoubi is a French mathematician known for his influential work in K-theory and its applications to topology and geometry.
  • D. Isadore Singer
    Isadore Singer was an American mathematician renowned for co-formulating the Atiyah–Singer Index Theorem, a foundational result linking analysis, topology, and geometry.
  • E. Saunders Mac Lane
    Saunders Mac Lane was an American mathematician best known as a co-founder of category theory and for his influential work in algebra and homological algebra.
  • 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: Daniel Quillen
Triple: [K-theory, developedBy, Daniel Quillen]
Generated description
Daniel Quillen was an American mathematician renowned for revolutionizing algebraic K-theory and for his influential contributions to homotopy theory, earning him the Fields Medal in 1978.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Daniel Quillen
Target entity description: Daniel Quillen was an American mathematician renowned for revolutionizing algebraic K-theory and for his influential contributions to homotopy theory, earning him the Fields Medal in 1978.
  • A. J. Peter May
    J. Peter May is an American mathematician renowned for his influential work in algebraic topology, category theory, and homotopy theory.
  • B. Norman Steenrod
    Norman Steenrod was an influential American mathematician best known for his foundational work in algebraic topology, including the development of Steenrod squares and contributions to cohomology theory.
  • C. Max Karoubi
    Max Karoubi is a French mathematician known for his influential work in K-theory and its applications to topology and geometry.
  • D. Isadore Singer
    Isadore Singer was an American mathematician renowned for co-formulating the Atiyah–Singer Index Theorem, a foundational result linking analysis, topology, and geometry.
  • E. Saunders Mac Lane
    Saunders Mac Lane was an American mathematician best known as a co-founder of category theory and for his influential work in algebra and homological algebra.
  • 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_69d6aa8081448190a9324184f2bd1c26 completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d74420fa188190b5b3c59e1a9f551d completed April 9, 2026, 6:16 a.m.
NED1 Entity disambiguation (via context triple) batch_69de85a068b08190948c3ca32cdda147 completed April 14, 2026, 6:21 p.m.
NEDg Description generation batch_69de8956d9f081909d076c5e413c1f74 completed April 14, 2026, 6:37 p.m.
NED2 Entity disambiguation (via description) batch_69de8e80fe80819088ac76bb5abc58f0 completed April 14, 2026, 6:59 p.m.
Created at: April 8, 2026, 9:19 p.m.