Triple

T10055757
Position Surface form Disambiguated ID Type / Status
Subject Gröbner basis E208856 entity
Predicate introducedInWork P513 FINISHED
Object Bruno Buchberger's PhD thesis
Bruno Buchberger's PhD thesis is the foundational work in computational algebra that introduced Gröbner bases, providing a systematic method for solving systems of polynomial equations.
E243471 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: Bruno Buchberger's PhD thesis | Statement: [Gröbner basis, introducedInWork, Bruno Buchberger's PhD thesis]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bruno Buchberger's PhD thesis
Context triple: [Gröbner basis, introducedInWork, Bruno Buchberger's PhD thesis]
  • A. Bruno Buchberger
    Bruno Buchberger is an Austrian mathematician best known for introducing Gröbner bases, a fundamental tool in computer algebra and symbolic computation.
  • B. Buchberger algorithm
    The Buchberger algorithm is a fundamental procedure in computational algebra for computing Gröbner bases of polynomial ideals, enabling systematic solutions to systems of polynomial equations.
  • C. Knuth–Bendix completion algorithm
    The Knuth–Bendix completion algorithm is a procedure in term rewriting and automated theorem proving that transforms a set of equations into a confluent rewriting system, enabling decision of word problems in algebraic structures.
  • D. “A Decision Method for Elementary Algebra and Geometry”
    “A Decision Method for Elementary Algebra and Geometry” is Alfred Tarski’s influential work that presents a procedure for deciding the truth of statements in elementary algebra and geometry, laying foundations for decision theory in mathematical logic.
  • E. Hilbert’s Nullstellensatz
    Hilbert’s Nullstellensatz is a foundational theorem in algebraic geometry that establishes a deep correspondence between ideals in polynomial rings and algebraic sets, linking algebra 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: Bruno Buchberger's PhD thesis
Triple: [Gröbner basis, introducedInWork, Bruno Buchberger's PhD thesis]
Generated description
Bruno Buchberger's PhD thesis is the foundational work in computational algebra that introduced Gröbner bases, providing a systematic method for solving systems of polynomial equations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Bruno Buchberger's PhD thesis
Target entity description: Bruno Buchberger's PhD thesis is the foundational work in computational algebra that introduced Gröbner bases, providing a systematic method for solving systems of polynomial equations.
  • A. Bruno Buchberger
    Bruno Buchberger is an Austrian mathematician best known for introducing Gröbner bases, a fundamental tool in computer algebra and symbolic computation.
  • B. Buchberger algorithm chosen
    The Buchberger algorithm is a fundamental procedure in computational algebra for computing Gröbner bases of polynomial ideals, enabling systematic solutions to systems of polynomial equations.
  • C. Knuth–Bendix completion algorithm
    The Knuth–Bendix completion algorithm is a procedure in term rewriting and automated theorem proving that transforms a set of equations into a confluent rewriting system, enabling decision of word problems in algebraic structures.
  • D. “A Decision Method for Elementary Algebra and Geometry”
    “A Decision Method for Elementary Algebra and Geometry” is Alfred Tarski’s influential work that presents a procedure for deciding the truth of statements in elementary algebra and geometry, laying foundations for decision theory in mathematical logic.
  • E. Hilbert’s Nullstellensatz
    Hilbert’s Nullstellensatz is a foundational theorem in algebraic geometry that establishes a deep correspondence between ideals in polynomial rings and algebraic sets, linking algebra and geometry.
  • F. None of above.

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_69ca836094408190a36a1ea7e9a86fcd completed March 30, 2026, 2:06 p.m.
NER Named-entity recognition batch_69cdcfacacd08190abe66f8bb17b92c7 completed April 2, 2026, 2:08 a.m.
NED1 Entity disambiguation (via context triple) batch_69d29a49cb208190b56d991a523efbac completed April 5, 2026, 5:22 p.m.
NEDg Description generation batch_69d29b7430248190b8965eaf1286dd7c completed April 5, 2026, 5:27 p.m.
NED2 Entity disambiguation (via description) batch_69d29c7ba9f081908f4614098d6c954b completed April 5, 2026, 5:31 p.m.
Created at: March 30, 2026, 8:57 p.m.