Triple

T9297127
Position Surface form Disambiguated ID Type / Status
Subject Auslander–Buchsbaum formula E223665 entity
Predicate namedAfter P63 FINISHED
Object David Buchsbaum
David Buchsbaum was an American mathematician known for his influential work in homological algebra and commutative algebra, including the co-development of the Auslander–Buchsbaum formula.
 E790761 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 Buchsbaum | Statement: [Auslander–Buchsbaum formula, namedAfter, David Buchsbaum]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: David Buchsbaum
Context triple: [Auslander–Buchsbaum formula, namedAfter, David Buchsbaum]
  • A. Maurice Auslander
    Maurice Auslander was an influential American mathematician known for his foundational work in commutative algebra and representation theory of algebras.
  • B. David Eisenbud
    David Eisenbud is an American mathematician known for his influential work in commutative algebra and algebraic geometry, as well as for his leadership as director of the Mathematical Sciences Research Institute (MSRI).
  • C. David Mumford
    David Mumford is an American mathematician renowned for his influential work in algebraic geometry and for receiving the Fields Medal in 1974.
  • D. Lipman Bers
    Lipman Bers was a prominent mathematician known for his influential work in complex analysis and Teichmüller theory.
  • 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: David Buchsbaum
Triple: [Auslander–Buchsbaum formula, namedAfter, David Buchsbaum]
Generated description
David Buchsbaum was an American mathematician known for his influential work in homological algebra and commutative algebra, including the co-development of the Auslander–Buchsbaum formula.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: David Buchsbaum
Target entity description: David Buchsbaum was an American mathematician known for his influential work in homological algebra and commutative algebra, including the co-development of the Auslander–Buchsbaum formula.
  • A. Maurice Auslander
    Maurice Auslander was an influential American mathematician known for his foundational work in commutative algebra and representation theory of algebras.
  • B. David Eisenbud
    David Eisenbud is an American mathematician known for his influential work in commutative algebra and algebraic geometry, as well as for his leadership as director of the Mathematical Sciences Research Institute (MSRI).
  • C. David Mumford
    David Mumford is an American mathematician renowned for his influential work in algebraic geometry and for receiving the Fields Medal in 1974.
  • D. Lipman Bers
    Lipman Bers was a prominent mathematician known for his influential work in complex analysis and Teichmüller theory.
  • 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_69ca8423edb08190bc0c91287a484768 completed March 30, 2026, 2:09 p.m.
NER Named-entity recognition batch_69cd089e3ae88190aa4181cdd85a67b8 completed April 1, 2026, 11:59 a.m.
NED1 Entity disambiguation (via context triple) batch_69d0c7717f30819095fc3e6e4f765790 completed April 4, 2026, 8:10 a.m.
NEDg Description generation batch_69d0c8f9a7648190943454a912c9da83 completed April 4, 2026, 8:16 a.m.
NED2 Entity disambiguation (via description) batch_69d0c978ed448190ad2e5aacdcb91855 completed April 4, 2026, 8:19 a.m.
Created at: March 30, 2026, 7:36 p.m.