Triple

T11970327
Position Surface form Disambiguated ID Type / Status
Subject Karen E. Smith E284901 entity
Predicate doctoralAdvisor P167 FINISHED
Object Melvin Hochster
Melvin Hochster is an American mathematician renowned for his influential work in commutative algebra and its connections to algebraic geometry.
E956410 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: Melvin Hochster | Statement: [Karen E. Smith, doctoralAdvisor, Melvin Hochster]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Melvin Hochster
Context triple: [Karen E. Smith, doctoralAdvisor, Melvin Hochster]
  • A. 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).
  • B. 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.
  • C. Oscar Zariski
    Oscar Zariski was a pioneering 20th-century mathematician whose work fundamentally shaped modern algebraic geometry through his rigorous, abstract approach and influential textbooks.
  • D. 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.
  • E. Spencer Bloch
    Spencer Bloch is an American mathematician renowned for his influential work in algebraic geometry and K-theory, particularly in the study of algebraic cycles and motives.
  • 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: Melvin Hochster
Triple: [Karen E. Smith, doctoralAdvisor, Melvin Hochster]
Generated description
Melvin Hochster is an American mathematician renowned for his influential work in commutative algebra and its connections to algebraic geometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Melvin Hochster
Target entity description: Melvin Hochster is an American mathematician renowned for his influential work in commutative algebra and its connections to algebraic geometry.
  • A. 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).
  • B. 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.
  • C. Oscar Zariski
    Oscar Zariski was a pioneering 20th-century mathematician whose work fundamentally shaped modern algebraic geometry through his rigorous, abstract approach and influential textbooks.
  • D. 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.
  • E. Spencer Bloch
    Spencer Bloch is an American mathematician renowned for his influential work in algebraic geometry and K-theory, particularly in the study of algebraic cycles and motives.
  • 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_69d6ab2eaeb881909f7914758f859413 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d9037bee54819085242a3ef3e286f9 completed April 10, 2026, 2:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69f459691ff0819099282172933d2d81 completed May 1, 2026, 7:42 a.m.
NEDg Description generation batch_69f4645ef63881909b46937f73d637a3 completed May 1, 2026, 8:29 a.m.
NED2 Entity disambiguation (via description) batch_69f465be4db08190882898a17d077019 completed May 1, 2026, 8:35 a.m.
Created at: April 8, 2026, 9:46 p.m.