Triple

T1281511
Position Surface form Disambiguated ID Type / Status
Subject Pierre de Fermat E27335 entity
Predicate influencedBy P9 FINISHED
Object François Viète
François Viète was a pioneering French mathematician of the late 16th century whose introduction of systematic algebraic notation helped lay the foundations for modern algebra and influenced later mathematicians such as Fermat and Descartes.
E152596 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: François Viète | Statement: [Pierre de Fermat, influencedBy, François Viète]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: François Viète
Context triple: [Pierre de Fermat, influencedBy, François Viète]
  • A. Pierre de Fermat
    Pierre de Fermat was a 17th-century French mathematician renowned for his work in number theory, probability, and analytic geometry, and especially for Fermat's Last Theorem.
  • B. Frans van Schooten
    Frans van Schooten was a 17th-century Dutch mathematician best known for editing and expanding René Descartes’ "La Géométrie," thereby significantly influencing the development of analytic geometry.
  • C. Cornelis Janssens van Ceulen
    Cornelis Janssens van Ceulen was a Dutch Golden Age portrait painter renowned for his elegant, detailed likenesses of English and Dutch sitters.
  • D. John Wallis
    John Wallis was a 17th-century English mathematician and clergyman known for his contributions to calculus, analytic geometry, and the introduction of the infinity symbol (∞).
  • E. Regiomontanus
    Regiomontanus was a 15th-century German mathematician and astronomer whose advanced astronomical tables and theoretical work significantly shaped the development of Renaissance astronomy and influenced later figures like Copernicus.
  • 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: François Viète
Triple: [Pierre de Fermat, influencedBy, François Viète]
Generated description
François Viète was a pioneering French mathematician of the late 16th century whose introduction of systematic algebraic notation helped lay the foundations for modern algebra and influenced later mathematicians such as Fermat and Descartes.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: François Viète
Target entity description: François Viète was a pioneering French mathematician of the late 16th century whose introduction of systematic algebraic notation helped lay the foundations for modern algebra and influenced later mathematicians such as Fermat and Descartes.
  • A. Pierre de Fermat
    Pierre de Fermat was a 17th-century French mathematician renowned for his work in number theory, probability, and analytic geometry, and especially for Fermat's Last Theorem.
  • B. Frans van Schooten
    Frans van Schooten was a 17th-century Dutch mathematician best known for editing and expanding René Descartes’ "La Géométrie," thereby significantly influencing the development of analytic geometry.
  • C. Cornelis Janssens van Ceulen
    Cornelis Janssens van Ceulen was a Dutch Golden Age portrait painter renowned for his elegant, detailed likenesses of English and Dutch sitters.
  • D. John Wallis
    John Wallis was a 17th-century English mathematician and clergyman known for his contributions to calculus, analytic geometry, and the introduction of the infinity symbol (∞).
  • E. Regiomontanus
    Regiomontanus was a 15th-century German mathematician and astronomer whose advanced astronomical tables and theoretical work significantly shaped the development of Renaissance astronomy and influenced later figures like Copernicus.
  • 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_69a496d3710c8190955dee8bc0dacb50 completed March 1, 2026, 7:43 p.m.
NER Named-entity recognition batch_69a4c0b317788190a1672b5ee422a049 completed March 1, 2026, 10:41 p.m.
NED1 Entity disambiguation (via context triple) batch_69acbf221180819082fc982b043d1085 completed March 8, 2026, 12:13 a.m.
NEDg Description generation batch_69acc246824c819084a4d73bcdd6c449 completed March 8, 2026, 12:26 a.m.
NED2 Entity disambiguation (via description) batch_69acc2be6e1c8190b05437749bc15643 completed March 8, 2026, 12:28 a.m.
Created at: March 1, 2026, 7:50 p.m.