Triple

T23737378
Position Surface form Disambiguated ID Type / Status
Subject Pólya enumeration theorem E586574 entity
Predicate instanceOf P0 FINISHED
Object enumeration theorem C716 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: enumeration theorem
Context triple: [Pólya enumeration theorem, instanceOf, enumeration theorem]
  • A. mathematical theorem chosen
    A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.
  • B. decomposition theorem
    The decomposition theorem is a fundamental result in algebraic geometry and topology stating that, under suitable conditions, the direct image of an intersection complex under a proper map splits as a direct sum of shifted semisimple perverse sheaves.
  • C. Conway number
    A Conway number is a recursively defined number system introduced by John Conway that generalizes real numbers and ordinals, allowing arithmetic and game-theoretic values to be represented within a unified framework.
  • D. circle method
    The circle method is an analytic number theory technique that uses integration over the unit circle in the complex plane to estimate the number of representations of integers by various arithmetic functions.
  • E. theory of polynomial sequences
    A theory of polynomial sequences studies families of polynomials indexed by integers (or other discrete parameters), analyzing their algebraic, combinatorial, and analytic properties and the relations between successive terms.
  • 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_69e24907dc9c8190be074c9c96a0ec2d completed April 17, 2026, 2:51 p.m.
Created at: April 17, 2026, 7:10 p.m.