Triple

T9297126
Position Surface form Disambiguated ID Type / Status
Subject Auslander–Buchsbaum formula E223665 entity
Predicate namedAfter P63 FINISHED
Object Maurice Auslander
Maurice Auslander was an influential American mathematician known for his foundational work in commutative algebra and representation theory of algebras.
E790526 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: Maurice Auslander | Statement: [Auslander–Buchsbaum formula, namedAfter, Maurice Auslander]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Maurice Auslander
Context triple: [Auslander–Buchsbaum formula, namedAfter, Maurice Auslander]
  • A. Garrett Birkhoff
    Garrett Birkhoff was an American mathematician best known for his foundational work in lattice theory and abstract algebra.
  • B. Michael Artin
    Michael Artin is a prominent American mathematician renowned for his influential contributions to algebraic geometry and modern algebra.
  • C. George W. Mackey
    George W. Mackey was an American mathematician known for his influential work in representation theory, ergodic theory, and the foundations of quantum mechanics.
  • D. Murray Alper
    Murray Alper was an American character actor known for his prolific appearances in Hollywood films from the 1930s through the 1960s, often playing cab drivers, sailors, and other working-class roles.
  • E. Lipman Bers
    Lipman Bers was a prominent mathematician known for his influential work in complex analysis and Teichmüller 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: Maurice Auslander
Triple: [Auslander–Buchsbaum formula, namedAfter, Maurice Auslander]
Generated description
Maurice Auslander was an influential American mathematician known for his foundational work in commutative algebra and representation theory of algebras.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Maurice Auslander
Target entity description: Maurice Auslander was an influential American mathematician known for his foundational work in commutative algebra and representation theory of algebras.
  • A. Garrett Birkhoff
    Garrett Birkhoff was an American mathematician best known for his foundational work in lattice theory and abstract algebra.
  • B. Michael Artin
    Michael Artin is a prominent American mathematician renowned for his influential contributions to algebraic geometry and modern algebra.
  • C. George W. Mackey
    George W. Mackey was an American mathematician known for his influential work in representation theory, ergodic theory, and the foundations of quantum mechanics.
  • D. Murray Alper
    Murray Alper was an American character actor known for his prolific appearances in Hollywood films from the 1930s through the 1960s, often playing cab drivers, sailors, and other working-class roles.
  • E. Lipman Bers
    Lipman Bers was a prominent mathematician known for his influential work in complex analysis and Teichmüller 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_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.