Triple

T9297082
Position Surface form Disambiguated ID Type / Status
Subject Castelnuovo–Mumford regularity E223664 entity
Predicate namedAfter P63 FINISHED
Object David Mumford
David Mumford is an American mathematician renowned for his influential work in algebraic geometry and for receiving the Fields Medal in 1974.
 E790520 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: David Mumford | Statement: [Castelnuovo–Mumford regularity, namedAfter, David Mumford]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: David Mumford
Context triple: [Castelnuovo–Mumford regularity, namedAfter, David Mumford]
  • A. Barry Mazur
    Barry Mazur is an American mathematician renowned for his influential work in number theory and arithmetic geometry, particularly in the development of the theory of modular forms and contributions to the proof of Fermat’s Last Theorem.
  • B. Raoul Bott
    Raoul Bott was a Hungarian-American mathematician renowned for his fundamental contributions to topology, geometry, and mathematical physics, including the Bott periodicity theorem.
  • C. Michael Shub
    Michael Shub is an American mathematician and computer scientist known for his influential work in dynamical systems, complexity theory, and cryptography, including co-developing the Blum–Blum–Shub pseudorandom number generator.
  • D. John Knill
    John Knill is a distinguished geologist recognized for his significant contributions to the field, as evidenced by honors such as the William Smith Medal.
  • E. Dennis Sullivan
    Dennis Sullivan is an influential American mathematician renowned for his groundbreaking work in topology, dynamical systems, and geometry.
  • 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: David Mumford
Triple: [Castelnuovo–Mumford regularity, namedAfter, David Mumford]
Generated description
David Mumford is an American mathematician renowned for his influential work in algebraic geometry and for receiving the Fields Medal in 1974.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: David Mumford
Target entity description: David Mumford is an American mathematician renowned for his influential work in algebraic geometry and for receiving the Fields Medal in 1974.
  • A. Barry Mazur
    Barry Mazur is an American mathematician renowned for his influential work in number theory and arithmetic geometry, particularly in the development of the theory of modular forms and contributions to the proof of Fermat’s Last Theorem.
  • B. Raoul Bott
    Raoul Bott was a Hungarian-American mathematician renowned for his fundamental contributions to topology, geometry, and mathematical physics, including the Bott periodicity theorem.
  • C. Michael Shub
    Michael Shub is an American mathematician and computer scientist known for his influential work in dynamical systems, complexity theory, and cryptography, including co-developing the Blum–Blum–Shub pseudorandom number generator.
  • D. John Knill
    John Knill is a distinguished geologist recognized for his significant contributions to the field, as evidenced by honors such as the William Smith Medal.
  • E. Dennis Sullivan
    Dennis Sullivan is an influential American mathematician renowned for his groundbreaking work in topology, dynamical systems, and geometry.
  • 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_69ca8423edb08190bc0c91287a484768 completed March 30, 2026, 2:09 p.m.
NER Named-entity recognition batch_69cd089c9c588190967404c9eb938dfb completed April 1, 2026, 11:59 a.m.
NED1 Entity disambiguation (via context triple) batch_69d0b251c4148190a94fafdc23a601d6 completed April 4, 2026, 6:40 a.m.
NEDg Description generation batch_69d0b65ea4548190b445563ac695b008 completed April 4, 2026, 6:57 a.m.
NED2 Entity disambiguation (via description) batch_69d0b6f504a48190878db828312e8a97 completed April 4, 2026, 7 a.m.
Created at: March 30, 2026, 7:36 p.m.