Triple

T2169654
Position Surface form Disambiguated ID Type / Status
Subject N. G. de Bruijn E46991 entity
Predicate hasPublication P80 FINISHED
Object A Combinatorial Problem
"A Combinatorial Problem" is a classic mathematical paper by N. G. de Bruijn that introduces and analyzes a fundamental counting problem in combinatorics.
E239174 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: A Combinatorial Problem | Statement: [N. G. de Bruijn, hasPublication, A Combinatorial Problem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: A Combinatorial Problem
Context triple: [N. G. de Bruijn, hasPublication, A Combinatorial Problem]
  • A. enumerative combinatorics
    Enumerative combinatorics is a branch of mathematics focused on counting and characterizing discrete structures, often using generating functions, bijections, and algebraic techniques.
  • B. Hilbert’s twenty-third problem
    Hilbert’s twenty-third problem is one of David Hilbert’s famous list of unsolved problems, focusing on the further development and systematic application of the calculus of variations.
  • C. Sprague–Grundy theorem
    The Sprague–Grundy theorem is a fundamental result in combinatorial game theory that assigns each impartial game position a nonnegative integer (its Grundy value), allowing such games to be analyzed and combined via nim-like addition.
  • D. Concrete Mathematics
    Concrete Mathematics is a widely respected textbook by Ronald Graham, Donald Knuth, and Oren Patashnik that blends continuous and discrete mathematics with an emphasis on problem-solving and rigorous analysis, especially for computer science applications.
  • E. Entscheidungsproblem
    The Entscheidungsproblem is a foundational decision problem in mathematical logic that asks whether there exists a general algorithm to determine the truth or falsity of any given first-order logical statement.
  • 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: A Combinatorial Problem
Triple: [N. G. de Bruijn, hasPublication, A Combinatorial Problem]
Generated description
"A Combinatorial Problem" is a classic mathematical paper by N. G. de Bruijn that introduces and analyzes a fundamental counting problem in combinatorics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: A Combinatorial Problem
Target entity description: "A Combinatorial Problem" is a classic mathematical paper by N. G. de Bruijn that introduces and analyzes a fundamental counting problem in combinatorics.
  • A. enumerative combinatorics
    Enumerative combinatorics is a branch of mathematics focused on counting and characterizing discrete structures, often using generating functions, bijections, and algebraic techniques.
  • B. Hilbert’s twenty-third problem
    Hilbert’s twenty-third problem is one of David Hilbert’s famous list of unsolved problems, focusing on the further development and systematic application of the calculus of variations.
  • C. Sprague–Grundy theorem
    The Sprague–Grundy theorem is a fundamental result in combinatorial game theory that assigns each impartial game position a nonnegative integer (its Grundy value), allowing such games to be analyzed and combined via nim-like addition.
  • D. Concrete Mathematics
    Concrete Mathematics is a widely respected textbook by Ronald Graham, Donald Knuth, and Oren Patashnik that blends continuous and discrete mathematics with an emphasis on problem-solving and rigorous analysis, especially for computer science applications.
  • E. Entscheidungsproblem
    The Entscheidungsproblem is a foundational decision problem in mathematical logic that asks whether there exists a general algorithm to determine the truth or falsity of any given first-order logical statement.
  • 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_69a88a184cbc8190877791f6552c2484 completed March 4, 2026, 7:38 p.m.
NER Named-entity recognition batch_69abbeaeb58881908ad34f7b253bac2a completed March 7, 2026, 5:59 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae58f511a08190880fbde8900d59df completed March 9, 2026, 5:21 a.m.
NEDg Description generation batch_69ae59a9b010819081491e988184b386 completed March 9, 2026, 5:24 a.m.
NED2 Entity disambiguation (via description) batch_69ae5a12f11c81908cc345905f0a485e completed March 9, 2026, 5:26 a.m.
Created at: March 4, 2026, 7:45 p.m.