Triple

T677222
Position Surface form Disambiguated ID Type / Status
Subject Albert W. Tucker E13103 entity
Predicate notableStudent P4838 FINISHED
Object Stephen Smale
Stephen Smale is an American mathematician renowned for his work in topology, dynamical systems, and mathematical economics, and as a recipient of the Fields Medal.
 E87308 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: Stephen Smale | Statement: [Albert W. Tucker, notableStudent, Stephen Smale]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Stephen Smale
Context triple: [Albert W. Tucker, notableStudent, Stephen Smale]
  • A. 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.
  • B. 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.
  • C. Michael Atiyah
    Michael Atiyah was a renowned British-Lebanese mathematician celebrated for his fundamental contributions to topology and geometry, including the development of K-theory and the Atiyah–Singer Index Theorem.
  • D. 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.
  • E. 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.
  • 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: Stephen Smale
Triple: [Albert W. Tucker, notableStudent, Stephen Smale]
Generated description
Stephen Smale is an American mathematician renowned for his work in topology, dynamical systems, and mathematical economics, and as a recipient of the Fields Medal.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Stephen Smale
Target entity description: Stephen Smale is an American mathematician renowned for his work in topology, dynamical systems, and mathematical economics, and as a recipient of the Fields Medal.
  • A. 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.
  • B. 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.
  • C. Michael Atiyah
    Michael Atiyah was a renowned British-Lebanese mathematician celebrated for his fundamental contributions to topology and geometry, including the development of K-theory and the Atiyah–Singer Index Theorem.
  • D. 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.
  • E. 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.
  • 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_69a4933d3bf88190972041cd8cf143b9 completed March 1, 2026, 7:27 p.m.
NER Named-entity recognition batch_69a4a04c89148190b6330e86697bb37b completed March 1, 2026, 8:23 p.m.
NED1 Entity disambiguation (via context triple) batch_69a64a518d6481909500c2941c579153 completed March 3, 2026, 2:41 a.m.
NEDg Description generation batch_69a64b1575748190aa5a34e7320b3d8b completed March 3, 2026, 2:44 a.m.
NED2 Entity disambiguation (via description) batch_69a64b80d5fc81909e69832457569064 completed March 3, 2026, 2:46 a.m.
Created at: March 1, 2026, 7:36 p.m.