Triple

T6938584
Position Surface form Disambiguated ID Type / Status
Subject Unsolved Problems in Number Theory E160614 entity
Predicate series P1761 FINISHED
Object 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.
E629499 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: Problem Books in Mathematics | Statement: [Unsolved Problems in Number Theory, series, Problem Books in Mathematics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Problem Books in Mathematics
Context triple: [Unsolved Problems in Number Theory, series, Problem Books in Mathematics]
  • A. 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.
  • B. 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.
  • C. Annals of Mathematics Studies
    Annals of Mathematics Studies is a renowned monograph series in advanced mathematics published by Princeton University Press, featuring influential works across a wide range of mathematical fields.
  • D. Unsolved Problems in Number Theory
    *Unsolved Problems in Number Theory* is a classic reference book that surveys a wide range of open questions and conjectures in number theory, often with historical context and extensive bibliographic notes.
  • E. The Great Mathematical Problems
    The Great Mathematical Problems is a popular mathematics book by Ian Stewart that explores some of the most famous unsolved and historically significant problems in mathematics for a general audience.
  • 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: Problem Books in Mathematics
Triple: [Unsolved Problems in Number Theory, series, Problem Books in Mathematics]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Problem Books in Mathematics
Target entity description: 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.
  • A. 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.
  • B. 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.
  • C. Annals of Mathematics Studies
    Annals of Mathematics Studies is a renowned monograph series in advanced mathematics published by Princeton University Press, featuring influential works across a wide range of mathematical fields.
  • D. Unsolved Problems in Number Theory
    *Unsolved Problems in Number Theory* is a classic reference book that surveys a wide range of open questions and conjectures in number theory, often with historical context and extensive bibliographic notes.
  • E. The Great Mathematical Problems
    The Great Mathematical Problems is a popular mathematics book by Ian Stewart that explores some of the most famous unsolved and historically significant problems in mathematics for a general audience.
  • 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_69c6884f3db4819080ad65da69386206 completed March 27, 2026, 1:38 p.m.
NER Named-entity recognition batch_69c6da62d2f88190968d3fea538a95c9 completed March 27, 2026, 7:28 p.m.
NED1 Entity disambiguation (via context triple) batch_69c7515509148190b5739cdf8cd7a28a completed March 28, 2026, 3:56 a.m.
NEDg Description generation batch_69c752c9b3d08190960d3c1aa88a93a7 completed March 28, 2026, 4:02 a.m.
NED2 Entity disambiguation (via description) batch_69c7537ea24c819081bb672d43d4a373 completed March 28, 2026, 4:05 a.m.
Created at: March 27, 2026, 2:28 p.m.