Triple

T15667157
Position Surface form Disambiguated ID Type / Status
Subject Christos H. Papadimitriou E377214 entity
Predicate notableWork P4 FINISHED
Object Combinatorial Optimization: Algorithms and Complexity
Combinatorial Optimization: Algorithms and Complexity is a foundational textbook that systematically develops the theory and algorithms of combinatorial optimization, emphasizing computational complexity and algorithmic efficiency.
E1170225 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: Combinatorial Optimization: Algorithms and Complexity | Statement: [Christos H. Papadimitriou, notableWork, Combinatorial Optimization: Algorithms and Complexity]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Combinatorial Optimization: Algorithms and Complexity
Context triple: [Christos H. Papadimitriou, notableWork, Combinatorial Optimization: Algorithms and Complexity]
  • A. P, NP, and NP-Completeness: The Basics of Complexity Theory
    "P, NP, and NP-Completeness: The Basics of Complexity Theory" is a foundational textbook by Oded Goldreich that introduces the core concepts, problems, and techniques of computational complexity theory, with a focus on the classes P, NP, and NP-complete problems.
  • B. Garey and Johnson: Computers and Intractability
    "Garey and Johnson: Computers and Intractability" is a foundational textbook in theoretical computer science that systematically develops the theory of NP-completeness and computational complexity.
  • C. Gomory cuts in integer programming
    Gomory cuts in integer programming are a class of cutting-plane techniques that iteratively refine linear programming relaxations to find optimal integer solutions to mixed-integer optimization problems.
  • D. Papadimitriou: Computational Complexity
    "Papadimitriou: Computational Complexity" is a widely used graduate-level textbook that systematically develops the theory of computational complexity, including classes like P and NP and the foundations of NP-completeness.
  • E. The Design and Analysis of Computer Algorithms
    The Design and Analysis of Computer Algorithms is a classic computer science textbook that systematically presents fundamental techniques and theoretical foundations for designing and analyzing efficient algorithms.
  • 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: Combinatorial Optimization: Algorithms and Complexity
Triple: [Christos H. Papadimitriou, notableWork, Combinatorial Optimization: Algorithms and Complexity]
Generated description
Combinatorial Optimization: Algorithms and Complexity is a foundational textbook that systematically develops the theory and algorithms of combinatorial optimization, emphasizing computational complexity and algorithmic efficiency.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Combinatorial Optimization: Algorithms and Complexity
Target entity description: Combinatorial Optimization: Algorithms and Complexity is a foundational textbook that systematically develops the theory and algorithms of combinatorial optimization, emphasizing computational complexity and algorithmic efficiency.
  • A. P, NP, and NP-Completeness: The Basics of Complexity Theory
    "P, NP, and NP-Completeness: The Basics of Complexity Theory" is a foundational textbook by Oded Goldreich that introduces the core concepts, problems, and techniques of computational complexity theory, with a focus on the classes P, NP, and NP-complete problems.
  • B. Garey and Johnson: Computers and Intractability
    "Garey and Johnson: Computers and Intractability" is a foundational textbook in theoretical computer science that systematically develops the theory of NP-completeness and computational complexity.
  • C. Gomory cuts in integer programming
    Gomory cuts in integer programming are a class of cutting-plane techniques that iteratively refine linear programming relaxations to find optimal integer solutions to mixed-integer optimization problems.
  • D. Papadimitriou: Computational Complexity
    "Papadimitriou: Computational Complexity" is a widely used graduate-level textbook that systematically develops the theory of computational complexity, including classes like P and NP and the foundations of NP-completeness.
  • E. The Design and Analysis of Computer Algorithms
    The Design and Analysis of Computer Algorithms is a classic computer science textbook that systematically presents fundamental techniques and theoretical foundations for designing and analyzing efficient algorithms.
  • 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_69d85cd2e28481909d4e975bee20872f completed April 10, 2026, 2:13 a.m.
NER Named-entity recognition batch_69e04f1151548190a14607e762686cb1 completed April 16, 2026, 2:53 a.m.
NED1 Entity disambiguation (via context triple) batch_69ff67a22888819092ea521bbad7bcb7 completed May 9, 2026, 4:58 p.m.
NEDg Description generation batch_69ff68fd16b88190a78772bcd0302189 completed May 9, 2026, 5:03 p.m.
NED2 Entity disambiguation (via description) batch_69ff6943d47881908c1634b43a6d6b96 completed May 9, 2026, 5:05 p.m.
Created at: April 10, 2026, 4:16 a.m.