Triple

T11365700
Position Surface form Disambiguated ID Type / Status
Subject Gerhard Frey E269198 entity
Predicate notableWork P4 FINISHED
Object Frey curve
The Frey curve is an elliptic curve construction introduced by Gerhard Frey that played a pivotal role in linking Fermat’s Last Theorem to the modularity conjecture, ultimately contributing to its proof.
E921623 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: Frey curve | Statement: [Gerhard Frey, notableWork, Frey curve]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Frey curve
Context triple: [Gerhard Frey, notableWork, Frey curve]
  • A. Schoen
    Schoen is a German-origin surname borne by various notable individuals in fields such as mathematics, science, and the arts.
  • B. Frederickson
    Frederickson is a surname of likely Scandinavian origin borne by various individuals, including film producer Gray Frederickson.
  • C. Grafh
    Grafh is an American rapper from Queens, New York, known for his gritty lyricism and work in the underground hip-hop scene.
  • D. Frachey
    Frachey is a small alpine village in Italy’s Aosta Valley, known as a gateway to the Monterosa Ski area.
  • E. Wuscfrea
    Wuscfrea was a little-known early medieval Northumbrian prince, known primarily as a son of King Edwin of Northumbria.
  • 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: Frey curve
Triple: [Gerhard Frey, notableWork, Frey curve]
Generated description
The Frey curve is an elliptic curve construction introduced by Gerhard Frey that played a pivotal role in linking Fermat’s Last Theorem to the modularity conjecture, ultimately contributing to its proof.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Frey curve
Target entity description: The Frey curve is an elliptic curve construction introduced by Gerhard Frey that played a pivotal role in linking Fermat’s Last Theorem to the modularity conjecture, ultimately contributing to its proof.
  • A. Schoen
    Schoen is a German-origin surname borne by various notable individuals in fields such as mathematics, science, and the arts.
  • B. Frederickson
    Frederickson is a surname of likely Scandinavian origin borne by various individuals, including film producer Gray Frederickson.
  • C. Grafh
    Grafh is an American rapper from Queens, New York, known for his gritty lyricism and work in the underground hip-hop scene.
  • D. Frachey
    Frachey is a small alpine village in Italy’s Aosta Valley, known as a gateway to the Monterosa Ski area.
  • E. Wuscfrea
    Wuscfrea was a little-known early medieval Northumbrian prince, known primarily as a son of King Edwin of Northumbria.
  • 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_69d6aacca1048190b39dbbc2174616fa completed April 8, 2026, 7:21 p.m.
NER Named-entity recognition batch_69d7ea88558c8190aa18881af51a7b96 completed April 9, 2026, 6:06 p.m.
NED1 Entity disambiguation (via context triple) batch_69e55667d4908190b6290135eba41e54 completed April 19, 2026, 10:25 p.m.
NEDg Description generation batch_69e562c6e7c8819098d22a6e0daa4a51 completed April 19, 2026, 11:18 p.m.
NED2 Entity disambiguation (via description) batch_69e56a472f0c819086c1cccaa5ca0ae7 completed April 19, 2026, 11:50 p.m.
Created at: April 8, 2026, 9:33 p.m.