Triple

T2325563
Position Surface form Disambiguated ID Type / Status
Subject Ricci flow E48279 entity
Predicate introducedBy P513 FINISHED
Object Richard S. Hamilton
Richard S. Hamilton is an American mathematician renowned for pioneering the theory of Ricci flow, which laid key groundwork for the proof of the Poincaré conjecture.
E255012 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: Richard S. Hamilton | Statement: [Ricci flow, introducedBy, Richard S. Hamilton]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Richard S. Hamilton
Context triple: [Ricci flow, introducedBy, Richard S. Hamilton]
  • A. Richard Schoen
    Richard Schoen is an American mathematician renowned for his influential work in differential geometry and geometric analysis.
  • B. William Thurston
    William Thurston was a pioneering American mathematician renowned for his revolutionary contributions to low-dimensional topology and geometry, including the geometrization conjecture for 3-manifolds.
  • C. Louis Nirenberg
    Louis Nirenberg was a Canadian-American mathematician renowned for his fundamental contributions to partial differential equations and geometric analysis.
  • 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. 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: Richard S. Hamilton
Triple: [Ricci flow, introducedBy, Richard S. Hamilton]
Generated description
Richard S. Hamilton is an American mathematician renowned for pioneering the theory of Ricci flow, which laid key groundwork for the proof of the Poincaré conjecture.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Richard S. Hamilton
Target entity description: Richard S. Hamilton is an American mathematician renowned for pioneering the theory of Ricci flow, which laid key groundwork for the proof of the Poincaré conjecture.
  • A. Richard Schoen
    Richard Schoen is an American mathematician renowned for his influential work in differential geometry and geometric analysis.
  • B. William Thurston
    William Thurston was a pioneering American mathematician renowned for his revolutionary contributions to low-dimensional topology and geometry, including the geometrization conjecture for 3-manifolds.
  • C. Louis Nirenberg
    Louis Nirenberg was a Canadian-American mathematician renowned for his fundamental contributions to partial differential equations and geometric analysis.
  • 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. 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_69a88aa308a88190b0b86c011fda7fce completed March 4, 2026, 7:40 p.m.
NER Named-entity recognition batch_69abc649af4481908fdc0bc7f4777b71 completed March 7, 2026, 6:31 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae897004308190bc2e335e9caea2ca completed March 9, 2026, 8:48 a.m.
NEDg Description generation batch_69ae8ace309c8190b57426d1449de723 completed March 9, 2026, 8:54 a.m.
NED2 Entity disambiguation (via description) batch_69ae8b56d8548190aa6a99f3f7d99c3e completed March 9, 2026, 8:56 a.m.
Created at: March 4, 2026, 7:50 p.m.