Triple

T21494008
Position Surface form Disambiguated ID Type / Status
Subject Taniyama–Shimura–Weil conjecture E530307 entity
Predicate instanceOf P0 FINISHED
Object precursor of the modularity theorem C11422 CONCEPT FINISHED

How this triple was built (1 step)

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.

CD Concept disambiguation gpt-5-mini-2025-08-07 
Target class: precursor of the modularity theorem
Context triple: [Taniyama–Shimura–Weil conjecture, instanceOf, precursor of the modularity theorem]
  • A. endomorphism of modular forms space
    An endomorphism of a modular forms space is a linear self-map of a given space of modular forms (typically of fixed weight, level, and character) that sends each modular form in the space to another modular form in the same space.
  • B. result in arithmetic geometry
    A result in arithmetic geometry is a theorem or proposition that connects number-theoretic properties of solutions to polynomial equations with the geometric structure of the varieties they define over arithmetic fields.
  • C. conjecture in number theory chosen
    A conjecture in number theory is an unproven but plausibly true statement about the properties or relationships of integers, often motivated by patterns, partial results, or computational evidence.
  • D. number theory work
    A number theory work is a scholarly text or study focused on the properties, relationships, and structures of integers and related mathematical objects.
  • E. curve over the rational numbers
    A curve over the rational numbers is an algebraic curve defined by polynomial equations with rational coefficients, considered together with its set of rational solutions and their arithmetic properties.
  • F. None of above.

Provenance (1 batch)

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.
Created at: April 16, 2026, 6:23 p.m.