Triple

T7600447
Position Surface form Disambiguated ID Type / Status
Subject Murray R. Spiegel E179968 entity
Predicate knownFor P22 FINISHED
Object Schaum's Outline series in mathematics
Schaum's Outline series in mathematics is a popular collection of supplementary textbooks that provide concise explanations, numerous solved problems, and practice exercises to help students master mathematical concepts.
E674677 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: Schaum's Outline series in mathematics | Statement: [Murray R. Spiegel, knownFor, Schaum's Outline series in mathematics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Schaum's Outline series in mathematics
Context triple: [Murray R. Spiegel, knownFor, Schaum's Outline series in mathematics]
  • A. Problem Books in Mathematics
    Problem Books in Mathematics is a renowned Springer book series that presents collections of challenging, graduate-level problems with solutions across a wide range of mathematical fields.
  • B. Calculus Made Easy
    Calculus Made Easy is a classic introductory mathematics book that simplifies and demystifies the fundamental concepts of calculus for beginners.
  • C. Graduate Texts in Mathematics
    Graduate Texts in Mathematics is a renowned series of advanced mathematics textbooks published by Springer, widely used for graduate-level study and reference across many areas of pure and applied mathematics.
  • D. Princeton Mathematical Series
    Princeton Mathematical Series is a renowned collection of advanced mathematics books published by Princeton University Press, featuring influential works by leading mathematicians.
  • E. Grundlagen der Mathematik
    Grundlagen der Mathematik is a foundational two-volume work in mathematical logic and the philosophy of mathematics, co-authored by David Hilbert and Paul Bernays, that systematically develops proof theory and formalizes large parts of mathematics.
  • 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: Schaum's Outline series in mathematics
Triple: [Murray R. Spiegel, knownFor, Schaum's Outline series in mathematics]
Generated description
Schaum's Outline series in mathematics is a popular collection of supplementary textbooks that provide concise explanations, numerous solved problems, and practice exercises to help students master mathematical concepts.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Schaum's Outline series in mathematics
Target entity description: Schaum's Outline series in mathematics is a popular collection of supplementary textbooks that provide concise explanations, numerous solved problems, and practice exercises to help students master mathematical concepts.
  • A. Problem Books in Mathematics
    Problem Books in Mathematics is a renowned Springer book series that presents collections of challenging, graduate-level problems with solutions across a wide range of mathematical fields.
  • B. Calculus Made Easy
    Calculus Made Easy is a classic introductory mathematics book that simplifies and demystifies the fundamental concepts of calculus for beginners.
  • C. Graduate Texts in Mathematics
    Graduate Texts in Mathematics is a renowned series of advanced mathematics textbooks published by Springer, widely used for graduate-level study and reference across many areas of pure and applied mathematics.
  • D. Princeton Mathematical Series
    Princeton Mathematical Series is a renowned collection of advanced mathematics books published by Princeton University Press, featuring influential works by leading mathematicians.
  • E. Grundlagen der Mathematik
    Grundlagen der Mathematik is a foundational two-volume work in mathematical logic and the philosophy of mathematics, co-authored by David Hilbert and Paul Bernays, that systematically develops proof theory and formalizes large parts of mathematics.
  • 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_69c69f3487ec8190bf7acdf2dd91e6d6 completed March 27, 2026, 3:16 p.m.
NER Named-entity recognition batch_69c6f9d9c55c8190841f3bf3225c096a completed March 27, 2026, 9:42 p.m.
NED1 Entity disambiguation (via context triple) batch_69c861ad08bc8190b3fc22109579a47d completed March 28, 2026, 11:18 p.m.
NEDg Description generation batch_69c86239eb348190b5a0b83d280000e2 completed March 28, 2026, 11:20 p.m.
NED2 Entity disambiguation (via description) batch_69c862a2f6808190942a22bf93994408 completed March 28, 2026, 11:22 p.m.
Created at: March 27, 2026, 3:53 p.m.