Triple

T18480237
Position Surface form Disambiguated ID Type / Status
Subject Orthogonal Polynomials E451537 entity
Predicate series P1761 FINISHED
Object American Mathematical Society Colloquium Publications
American Mathematical Society Colloquium Publications is a prestigious monograph series that publishes authoritative, research-level expositions across major areas of mathematics.
E395249 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: American Mathematical Society Colloquium Publications | Statement: [Orthogonal Polynomials, series, American Mathematical Society Colloquium Publications]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: American Mathematical Society Colloquium Publications
Context triple: [Orthogonal Polynomials, series, American Mathematical Society Colloquium Publications]
  • A. American Mathematical Society publications
    American Mathematical Society publications are a collection of scholarly journals, monographs, and other research-focused works that disseminate advanced mathematical research and scholarship worldwide.
  • B. Mathematical Surveys and Monographs
    Mathematical Surveys and Monographs is a prominent book series by the American Mathematical Society that publishes comprehensive, research-level expositions on advanced topics across all areas of mathematics.
  • C. Memoirs of the American Mathematical Society
    Memoirs of the American Mathematical Society is a monograph series featuring long, research-level works in pure and applied mathematics.
  • D. Translations of Mathematical Monographs
    Translations of Mathematical Monographs is a book series by the American Mathematical Society that presents high-quality English translations of important research monographs in mathematics originally published in other languages.
  • E. 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.
  • 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: American Mathematical Society Colloquium Publications
Triple: [Orthogonal Polynomials, series, American Mathematical Society Colloquium Publications]
Generated description
American Mathematical Society Colloquium Publications is a prestigious monograph series that publishes authoritative, research-level expositions across major areas of mathematics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: American Mathematical Society Colloquium Publications
Target entity description: American Mathematical Society Colloquium Publications is a prestigious monograph series that publishes authoritative, research-level expositions across major areas of mathematics.
  • A. American Mathematical Society publications chosen
    American Mathematical Society publications are a collection of scholarly journals, monographs, and other research-focused works that disseminate advanced mathematical research and scholarship worldwide.
  • B. Mathematical Surveys and Monographs
    Mathematical Surveys and Monographs is a prominent book series by the American Mathematical Society that publishes comprehensive, research-level expositions on advanced topics across all areas of mathematics.
  • C. Memoirs of the American Mathematical Society
    Memoirs of the American Mathematical Society is a monograph series featuring long, research-level works in pure and applied mathematics.
  • D. Translations of Mathematical Monographs
    Translations of Mathematical Monographs is a book series by the American Mathematical Society that presents high-quality English translations of important research monographs in mathematics originally published in other languages.
  • E. 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.
  • F. None of above.

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_69d8d38465a0819099b9b42d2a662ac1 completed April 10, 2026, 10:40 a.m.
NER Named-entity recognition batch_69e53066a7108190a50eda9b489c90ca completed April 19, 2026, 7:43 p.m.
NED1 Entity disambiguation (via context triple) batch_6a043f2f64848190808075254008e6e1 completed May 13, 2026, 9:06 a.m.
NEDg Description generation batch_6a043fb7db388190bb50cfade4f025f9 completed May 13, 2026, 9:09 a.m.
NED2 Entity disambiguation (via description) batch_6a044063c6048190b65620af8ceed897 completed May 13, 2026, 9:12 a.m.
Created at: April 10, 2026, 11:35 a.m.