Triple

T21654199
Position Surface form Disambiguated ID Type / Status
Subject Galois representations E534413 entity
Predicate studiedBy P1945 FINISHED
Object Robert Langlands NE NERFINISHED

How this triple was built (2 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: Robert Langlands | Statement: [Galois representations, studiedBy, Robert Langlands]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Robert Langlands
Context triple: [Galois representations, studiedBy, Robert Langlands]
  • A. Robert Langlands chosen
    Robert Langlands is a Canadian mathematician best known for initiating the Langlands program, a far-reaching web of conjectures connecting number theory, representation theory, and geometry.
  • B. Victor S. Miller
    Victor S. Miller is an American mathematician and cryptographer best known for co-inventing elliptic curve cryptography, a foundational technology in modern public-key cryptography.
  • C. Victor Miller
    Victor Miller is an American screenwriter best known for writing the original 1980 slasher film "Friday the 13th."
  • D. Ken Ribet
    Ken Ribet is an American mathematician known for his work in number theory, particularly his proof of the epsilon conjecture, which played a crucial role in the eventual proof of Fermat’s Last Theorem.
  • E. Manjul Bhargava
    Manjul Bhargava is a Canadian-American mathematician renowned for his groundbreaking work in number theory, for which he received the Fields Medal in 2014.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e0c466aec88190ba39c7543dbc8ba2 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69ef59164fe081908abd2e33dcd67def completed April 27, 2026, 12:39 p.m.
Created at: April 16, 2026, 6:36 p.m.