Triple

T249041
Position Surface form Disambiguated ID Type / Status
Subject Addison-Wesley E5101 entity
Predicate hasPublished P80 FINISHED
Object 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.
E32450 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: Concrete Mathematics | Statement: [Addison-Wesley, hasPublished, Concrete Mathematics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Concrete Mathematics
Context triple: [Addison-Wesley, hasPublished, Concrete Mathematics]
  • A. Winning Ways for your Mathematical Plays
    Winning Ways for your Mathematical Plays is a multi-volume book on combinatorial game theory that popularizes and systematically explores mathematical games and their underlying structures.
  • B. Disquisitiones Arithmeticae
    Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
  • C. Dyson’s transform in number theory
    Dyson’s transform in number theory is a combinatorial technique introduced by Freeman Dyson to manipulate and relate integer partitions, particularly in the study of partition identities and congruences.
  • D. Surreal numbers
    Surreal numbers are a class of numbers introduced by John H. Conway that form an extensive ordered field encompassing the real numbers, infinite quantities, and infinitesimals within a unified framework.
  • E. On Numbers and Games
    On Numbers and Games is a mathematical book by John H. Conway that introduces surreal numbers and explores combinatorial game theory in a rigorous yet playful style.
  • 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: Concrete Mathematics
Triple: [Addison-Wesley, hasPublished, Concrete Mathematics]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Concrete Mathematics
Target entity description: 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.
  • A. Winning Ways for your Mathematical Plays
    Winning Ways for your Mathematical Plays is a multi-volume book on combinatorial game theory that popularizes and systematically explores mathematical games and their underlying structures.
  • B. Disquisitiones Arithmeticae
    Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
  • C. Dyson’s transform in number theory
    Dyson’s transform in number theory is a combinatorial technique introduced by Freeman Dyson to manipulate and relate integer partitions, particularly in the study of partition identities and congruences.
  • D. Surreal numbers
    Surreal numbers are a class of numbers introduced by John H. Conway that form an extensive ordered field encompassing the real numbers, infinite quantities, and infinitesimals within a unified framework.
  • E. On Numbers and Games
    On Numbers and Games is a mathematical book by John H. Conway that introduces surreal numbers and explores combinatorial game theory in a rigorous yet playful style.
  • 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_69a257c4bf688190a46ebbf411ab7473 completed Feb. 28, 2026, 2:49 a.m.
NER Named-entity recognition batch_69a25d35aa288190966b6e15af1525cb completed Feb. 28, 2026, 3:12 a.m.
NED1 Entity disambiguation (via context triple) batch_69a37371d2548190a71a1b15d6f9ce3c completed Feb. 28, 2026, 11 p.m.
NEDg Description generation batch_69a373f650588190af71549fb7df4ae6 completed Feb. 28, 2026, 11:02 p.m.
NED2 Entity disambiguation (via description) batch_69a374a737f88190a4b2d838db12cc4e completed Feb. 28, 2026, 11:05 p.m.
Created at: Feb. 28, 2026, 2:54 a.m.