Triple

T7743566
Position Surface form Disambiguated ID Type / Status
Subject Birch and Swinnerton-Dyer Conjecture E175567 entity
Predicate partiallyProvedBy P69143 FINISHED
Object Victor Kolyvagin
Victor Kolyvagin is a Russian-American mathematician renowned for his groundbreaking work in number theory, particularly his use of Euler systems to obtain deep results about elliptic curves and related conjectures.
E685699 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: Victor Kolyvagin | Statement: [Birch and Swinnerton-Dyer Conjecture, partiallyProvedBy, Victor Kolyvagin]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Victor Kolyvagin
Context triple: [Birch and Swinnerton-Dyer Conjecture, partiallyProvedBy, Victor Kolyvagin]
  • A. Dmitry Shemyaka
    Dmitry Shemyaka was a 15th-century Russian prince of the House of Rurik known for his dynastic struggle for the throne of Moscow and his bitter rivalry with Grand Prince Vasili II.
  • B. Vladimir Kokovtsov
    Vladimir Kokovtsov was a prominent Russian statesman of the late Imperial period who served as a leading financial and governmental reformer under Tsar Nicholas II.
  • C. Gavriil Govorov
    Gavriil Govorov, better known as St. Theophan the Recluse, was a 19th-century Russian Orthodox bishop, theologian, and influential spiritual writer renowned for his works on inner prayer and Christian asceticism.
  • D. Pavel Kutakhov
    Pavel Kutakhov was a prominent Soviet military aviator and Marshal of Aviation who served as Commander-in-Chief of the Soviet Air Forces during the Cold War.
  • E. Vasily Yushkevich
    Vasily Yushkevich was a Soviet military commander best known for leading Red Army forces during key Eastern Front operations in World War II, including the Velikiye Luki offensive.
  • 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: Victor Kolyvagin
Triple: [Birch and Swinnerton-Dyer Conjecture, partiallyProvedBy, Victor Kolyvagin]
Generated description
Victor Kolyvagin is a Russian-American mathematician renowned for his groundbreaking work in number theory, particularly his use of Euler systems to obtain deep results about elliptic curves and related conjectures.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Victor Kolyvagin
Target entity description: Victor Kolyvagin is a Russian-American mathematician renowned for his groundbreaking work in number theory, particularly his use of Euler systems to obtain deep results about elliptic curves and related conjectures.
  • A. Dmitry Shemyaka
    Dmitry Shemyaka was a 15th-century Russian prince of the House of Rurik known for his dynastic struggle for the throne of Moscow and his bitter rivalry with Grand Prince Vasili II.
  • B. Vladimir Kokovtsov
    Vladimir Kokovtsov was a prominent Russian statesman of the late Imperial period who served as a leading financial and governmental reformer under Tsar Nicholas II.
  • C. Gavriil Govorov
    Gavriil Govorov, better known as St. Theophan the Recluse, was a 19th-century Russian Orthodox bishop, theologian, and influential spiritual writer renowned for his works on inner prayer and Christian asceticism.
  • D. Pavel Kutakhov
    Pavel Kutakhov was a prominent Soviet military aviator and Marshal of Aviation who served as Commander-in-Chief of the Soviet Air Forces during the Cold War.
  • E. Vasily Yushkevich
    Vasily Yushkevich was a Soviet military commander best known for leading Red Army forces during key Eastern Front operations in World War II, including the Velikiye Luki offensive.
  • 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_69c6995f9c60819092e386192bd63c6f completed March 27, 2026, 2:51 p.m.
NER Named-entity recognition batch_69c708b13c688190839c920ec196cada completed March 27, 2026, 10:46 p.m.
NED1 Entity disambiguation (via context triple) batch_69c8be48d61c8190aba1e5f23d7cb1be completed March 29, 2026, 5:53 a.m.
NEDg Description generation batch_69c8bf664390819093c2381ff0f8aaca completed March 29, 2026, 5:57 a.m.
NED2 Entity disambiguation (via description) batch_69c8bff4965881909a341db7d234632a completed March 29, 2026, 6 a.m.
Created at: March 27, 2026, 4:07 p.m.