Triple

T31583
Position Surface form Disambiguated ID Type / Status
Subject Non-cooperative Games E630 entity
Predicate publishedIn P309 FINISHED
Object Annals of Mathematics
Annals of Mathematics is a leading peer-reviewed mathematics journal renowned for publishing foundational and influential research across all areas of pure mathematics.
E3647 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: Annals of Mathematics | Statement: [Non-cooperative Games, publishedIn, Annals of Mathematics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Annals of Mathematics
Context triple: [Non-cooperative Games, publishedIn, Annals of Mathematics]
  • A. Transactions of the American Philosophical Society
    Transactions of the American Philosophical Society is a long-running scholarly journal that publishes monographic studies and research across a wide range of academic disciplines.
  • B. Proceedings of the American Philosophical Society
    Proceedings of the American Philosophical Society is a long-running scholarly journal featuring research articles, historical studies, and papers presented under the auspices of the American Philosophical Society.
  • C. Proceedings of the National Academy of Sciences
    Proceedings of the National Academy of Sciences is a leading peer-reviewed multidisciplinary scientific journal publishing high-impact research across the biological, physical, and social sciences.
  • D. Nash embedding theorem
    The Nash embedding theorem is a fundamental result in differential geometry that shows any Riemannian manifold can be isometrically embedded into some Euclidean space, thereby realizing abstract curved spaces as concrete subsets of standard Euclidean space.
  • E. Abel Prize
    The Abel Prize is a prestigious international mathematics award, often likened to a "Nobel Prize in Mathematics," given annually by the Norwegian Academy of Science and Letters for outstanding scientific work in the field.
  • 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: Annals of Mathematics
Triple: [Non-cooperative Games, publishedIn, Annals of Mathematics]
Generated description
Annals of Mathematics is a leading peer-reviewed mathematics journal renowned for publishing foundational and influential research across all areas of pure mathematics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Annals of Mathematics
Target entity description: Annals of Mathematics is a leading peer-reviewed mathematics journal renowned for publishing foundational and influential research across all areas of pure mathematics.
  • A. Transactions of the American Philosophical Society
    Transactions of the American Philosophical Society is a long-running scholarly journal that publishes monographic studies and research across a wide range of academic disciplines.
  • B. Proceedings of the American Philosophical Society
    Proceedings of the American Philosophical Society is a long-running scholarly journal featuring research articles, historical studies, and papers presented under the auspices of the American Philosophical Society.
  • C. Proceedings of the National Academy of Sciences
    Proceedings of the National Academy of Sciences is a leading peer-reviewed multidisciplinary scientific journal publishing high-impact research across the biological, physical, and social sciences.
  • D. Nash embedding theorem
    The Nash embedding theorem is a fundamental result in differential geometry that shows any Riemannian manifold can be isometrically embedded into some Euclidean space, thereby realizing abstract curved spaces as concrete subsets of standard Euclidean space.
  • E. Abel Prize
    The Abel Prize is a prestigious international mathematics award, often likened to a "Nobel Prize in Mathematics," given annually by the Norwegian Academy of Science and Letters for outstanding scientific work in the field.
  • 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_69a2479dec388190967ba648663442c9 completed Feb. 28, 2026, 1:40 a.m.
NER Named-entity recognition batch_69a2487838f881908ab8eda6c6ae53e4 completed Feb. 28, 2026, 1:44 a.m.
NED1 Entity disambiguation (via context triple) batch_69a24e5ec6308190ad27b8b28b3f59d2 completed Feb. 28, 2026, 2:09 a.m.
NEDg Description generation batch_69a250c8cf7c8190b71c65d204d21fd8 completed Feb. 28, 2026, 2:19 a.m.
NED2 Entity disambiguation (via description) batch_69a25147eccc8190b6151a03b064d31c completed Feb. 28, 2026, 2:22 a.m.
Created at: Feb. 28, 2026, 1:44 a.m.