Triple

T16474890
Position Surface form Disambiguated ID Type / Status
Subject Banach–Tarski paradox E400162 entity
Predicate publishedIn P309 FINISHED
Object Fundamenta Mathematicae
Fundamenta Mathematicae is a pioneering Polish mathematical journal, founded in 1920, renowned for foundational work in set theory, topology, and related areas.
E1215849 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: Fundamenta Mathematicae | Statement: [Banach–Tarski paradox, publishedIn, Fundamenta Mathematicae]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Fundamenta Mathematicae
Context triple: [Banach–Tarski paradox, publishedIn, Fundamenta Mathematicae]
  • A. Acta Mathematica
    Acta Mathematica is a prestigious peer-reviewed mathematics journal, founded in 1882, known for publishing influential research papers across a wide range of mathematical fields.
  • B. Mathematische Annalen
    Mathematische Annalen is a long-established, highly influential German mathematics journal known for publishing significant research across a wide range of mathematical fields.
  • C. Transactions of the American Mathematical Society
    Transactions of the American Mathematical Society is a leading peer-reviewed research journal that publishes original papers across a broad range of pure and applied mathematics.
  • D. Bulletin of the American Mathematical Society
    The Bulletin of the American Mathematical Society is a leading peer-reviewed journal that publishes expository articles, research announcements, and reviews across a broad range of mathematical disciplines.
  • E. Proceedings of the American Mathematical Society
    Proceedings of the American Mathematical Society is a peer-reviewed mathematics journal featuring short research articles across a broad range of pure and applied 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: Fundamenta Mathematicae
Triple: [Banach–Tarski paradox, publishedIn, Fundamenta Mathematicae]
Generated description
Fundamenta Mathematicae is a pioneering Polish mathematical journal, founded in 1920, renowned for foundational work in set theory, topology, and related areas.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Fundamenta Mathematicae
Target entity description: Fundamenta Mathematicae is a pioneering Polish mathematical journal, founded in 1920, renowned for foundational work in set theory, topology, and related areas.
  • A. Acta Mathematica
    Acta Mathematica is a prestigious peer-reviewed mathematics journal, founded in 1882, known for publishing influential research papers across a wide range of mathematical fields.
  • B. Mathematische Annalen
    Mathematische Annalen is a long-established, highly influential German mathematics journal known for publishing significant research across a wide range of mathematical fields.
  • C. Transactions of the American Mathematical Society
    Transactions of the American Mathematical Society is a leading peer-reviewed research journal that publishes original papers across a broad range of pure and applied mathematics.
  • D. Bulletin of the American Mathematical Society
    The Bulletin of the American Mathematical Society is a leading peer-reviewed journal that publishes expository articles, research announcements, and reviews across a broad range of mathematical disciplines.
  • E. Proceedings of the American Mathematical Society
    Proceedings of the American Mathematical Society is a peer-reviewed mathematics journal featuring short research articles across a broad range of pure and applied mathematical fields.
  • 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_69d883813098819084f5409539723b59 completed April 10, 2026, 4:58 a.m.
NER Named-entity recognition batch_69e32dd43cf88190881a5cbc80da1490 completed April 18, 2026, 7:08 a.m.
NED1 Entity disambiguation (via context triple) batch_6a004f5f238881909b5f2fb41da3f932 completed May 10, 2026, 9:26 a.m.
NEDg Description generation batch_6a00509164cc8190a381ba0a1de95ed1 completed May 10, 2026, 9:32 a.m.
NED2 Entity disambiguation (via description) batch_6a005447f1948190a939c0051891e444 completed May 10, 2026, 9:47 a.m.
Created at: April 10, 2026, 5:13 a.m.