Triple

T9844939
Position Surface form Disambiguated ID Type / Status
Subject Breakthrough Prize in Mathematics E239316 entity
Predicate notableRecipient P108 FINISHED
Object Ian Agol
Ian Agol is an American mathematician renowned for his groundbreaking work in low-dimensional topology and geometric group theory, including major contributions to the virtual Haken and virtual fibering conjectures.
 E824756 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: Ian Agol | Statement: [Breakthrough Prize in Mathematics, notableRecipient, Ian Agol]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Ian Agol
Context triple: [Breakthrough Prize in Mathematics, notableRecipient, Ian Agol]
  • A. Marc Culler
    Marc Culler is an American mathematician known for his contributions to geometric group theory and low-dimensional topology.
  • 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. Sasson Gabai
    Sasson Gabai is an Israeli actor best known internationally for his roles in films such as "The Band's Visit" and numerous Israeli television and theater productions.
  • D. Curtis T. McMullen
    Curtis T. McMullen is an American mathematician renowned for his work in complex dynamics, hyperbolic geometry, and Teichmüller theory, and a recipient of the Fields Medal.
  • E. Mladen Bestvina
    Mladen Bestvina is a Croatian-American mathematician renowned for his contributions to geometric group theory and low-dimensional topology.
  • 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: Ian Agol
Triple: [Breakthrough Prize in Mathematics, notableRecipient, Ian Agol]
Generated description
Ian Agol is an American mathematician renowned for his groundbreaking work in low-dimensional topology and geometric group theory, including major contributions to the virtual Haken and virtual fibering conjectures.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Ian Agol
Target entity description: Ian Agol is an American mathematician renowned for his groundbreaking work in low-dimensional topology and geometric group theory, including major contributions to the virtual Haken and virtual fibering conjectures.
  • A. Marc Culler
    Marc Culler is an American mathematician known for his contributions to geometric group theory and low-dimensional topology.
  • 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. Sasson Gabai
    Sasson Gabai is an Israeli actor best known internationally for his roles in films such as "The Band's Visit" and numerous Israeli television and theater productions.
  • D. Curtis T. McMullen
    Curtis T. McMullen is an American mathematician renowned for his work in complex dynamics, hyperbolic geometry, and Teichmüller theory, and a recipient of the Fields Medal.
  • E. Mladen Bestvina
    Mladen Bestvina is a Croatian-American mathematician renowned for his contributions to geometric group theory and low-dimensional topology.
  • 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_69ca84e3f0c48190ada72a65ebd50efd completed March 30, 2026, 2:12 p.m.
NER Named-entity recognition batch_69cdb35ff7848190a8a717773d8654b9 completed April 2, 2026, 12:08 a.m.
NED1 Entity disambiguation (via context triple) batch_69d1d5dda4b0819092703270e87bee5a completed April 5, 2026, 3:24 a.m.
NEDg Description generation batch_69d1d6815e28819081788393cda63bc0 completed April 5, 2026, 3:26 a.m.
NED2 Entity disambiguation (via description) batch_69d1d75210f4819096ee05a8b870581e completed April 5, 2026, 3:30 a.m.
Created at: March 30, 2026, 8:33 p.m.