Triple

T2437689
Position Surface form Disambiguated ID Type / Status
Subject Andrew Wiles E53197 entity
Predicate influencedBy P9 FINISHED
Object Gerhard Frey
Gerhard Frey is a German mathematician best known for his work on elliptic curves and for formulating the Frey curve, which played a key role in the eventual proof of Fermat’s Last Theorem.
E269198 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: Gerhard Frey | Statement: [Andrew Wiles, influencedBy, Gerhard Frey]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Gerhard Frey
Context triple: [Andrew Wiles, influencedBy, Gerhard Frey]
  • A. Jürgen Neukirch
    Jürgen Neukirch was a German mathematician renowned for his influential work in algebraic number theory and for authoring widely used textbooks in the field.
  • B. Gerd Faltings
    Gerd Faltings is a German mathematician renowned for his groundbreaking work in arithmetic geometry, particularly his proof of the Mordell conjecture, for which he received the Fields Medal.
  • C. Carl Ludwig Siegel
    Carl Ludwig Siegel was a German mathematician renowned for his foundational contributions to number theory, celestial mechanics, and the theory of quadratic forms.
  • D. Helmut Hasse
    Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
  • E. Kurt Hensel
    Kurt Hensel was a German mathematician best known for introducing p-adic numbers, which became fundamental in number theory and algebraic geometry.
  • 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: Gerhard Frey
Triple: [Andrew Wiles, influencedBy, Gerhard Frey]
Generated description
Gerhard Frey is a German mathematician best known for his work on elliptic curves and for formulating the Frey curve, which played a key role in the eventual proof of Fermat’s Last Theorem.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Gerhard Frey
Target entity description: Gerhard Frey is a German mathematician best known for his work on elliptic curves and for formulating the Frey curve, which played a key role in the eventual proof of Fermat’s Last Theorem.
  • A. Jürgen Neukirch
    Jürgen Neukirch was a German mathematician renowned for his influential work in algebraic number theory and for authoring widely used textbooks in the field.
  • B. Gerd Faltings
    Gerd Faltings is a German mathematician renowned for his groundbreaking work in arithmetic geometry, particularly his proof of the Mordell conjecture, for which he received the Fields Medal.
  • C. Carl Ludwig Siegel
    Carl Ludwig Siegel was a German mathematician renowned for his foundational contributions to number theory, celestial mechanics, and the theory of quadratic forms.
  • D. Helmut Hasse
    Helmut Hasse was a German mathematician renowned for his contributions to algebraic number theory and local class field theory, including the Hasse principle and Hasse–Minkowski theorem.
  • E. Kurt Hensel
    Kurt Hensel was a German mathematician best known for introducing p-adic numbers, which became fundamental in number theory and algebraic geometry.
  • 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_69ab495b6dac8190ac82661aa1452222 completed March 6, 2026, 9:38 p.m.
NER Named-entity recognition batch_69abc9f4d2dc8190b3c264a6c20d1bd5 completed March 7, 2026, 6:47 a.m.
NED1 Entity disambiguation (via context triple) batch_69aef0ad31b8819084813b65b46bc9fc completed March 9, 2026, 4:09 p.m.
NEDg Description generation batch_69af118dc6908190a3efb36fcabfe1b3 completed March 9, 2026, 6:29 p.m.
NED2 Entity disambiguation (via description) batch_69af11ecbb0c819099d3041be2935053 completed March 9, 2026, 6:31 p.m.
Created at: March 6, 2026, 9:43 p.m.