Triple

T21494004
Position Surface form Disambiguated ID Type / Status
Subject Richard Taylor E530306 entity
Predicate researchInterest P3 FINISHED
Object Shimura varieties — 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: Shimura varieties | Statement: [Richard Taylor, researchInterest, Shimura varieties]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Shimura varieties
Context triple: [Richard Taylor, researchInterest, Shimura varieties]
  • A. Shimura varieties chosen
    Shimura varieties are higher-dimensional algebraic varieties that generalize modular curves and play a central role in the Langlands program by connecting number theory, automorphic forms, and arithmetic geometry.
  • B. Eichler–Shimura theory
    Eichler–Shimura theory is a foundational framework in number theory and arithmetic geometry that connects modular forms with the cohomology of modular curves and the theory of elliptic curves.
  • C. Abelian Varieties with Complex Multiplication and Modular Functions
    "Abelian Varieties with Complex Multiplication and Modular Functions" is a foundational monograph by Goro Shimura that develops the arithmetic theory of abelian varieties with complex multiplication and their deep connections to modular and automorphic functions.
  • D. Shafarevich conjecture for abelian varieties
    The Shafarevich conjecture for abelian varieties is a finiteness statement predicting that, over a number field, there are only finitely many isomorphism classes of abelian varieties with good reduction outside a fixed finite set of places, a result ultimately proved by Faltings.
  • E. Shimura reciprocity law
    The Shimura reciprocity law is a fundamental result in number theory that generalizes classical reciprocity laws by describing how values of modular functions at complex multiplication (CM) points transform under the action of Galois groups.
  • 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_69e0c45bd15481909fba5910765cdda2 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69e9ea567244819091863350fedae3ae completed April 23, 2026, 9:45 a.m.
Created at: April 16, 2026, 6:23 p.m.