Triple

T19231160
Position Surface form Disambiguated ID Type / Status
Subject Runge approximation theorem E480873 entity
Predicate usedIn P98 FINISHED
Object Oka theory 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: Oka theory | Statement: [Runge approximation theorem, usedIn, Oka theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Oka theory
Context triple: [Runge approximation theorem, usedIn, Oka theory]
  • A. Oka coherence theorem chosen
    The Oka coherence theorem is a fundamental result in complex analytic geometry stating that the sheaf of germs of holomorphic functions on a complex manifold is coherent, providing a powerful bridge between analytic and algebraic methods.
  • B. V–A theory
    V–A theory is a framework in particle physics that describes the weak interaction as involving only left-handed particles and right-handed antiparticles through a combination of vector (V) and axial-vector (A) currents.
  • C. Bogoliubov–Parasyuk theorem
    The Bogoliubov–Parasyuk theorem is a fundamental result in quantum field theory that rigorously establishes a systematic procedure for renormalizing divergent Feynman diagrams.
  • D. Grote–Hynes theory
    Grote–Hynes theory is a refinement of Kramers’ reaction-rate theory that incorporates frequency-dependent friction to more accurately describe barrier-crossing dynamics in condensed-phase chemical reactions.
  • E. Donaldson theory
    Donaldson theory is a gauge-theoretic framework in four-dimensional differential topology that uses moduli spaces of anti-self-dual connections to define powerful invariants distinguishing smooth structures on 4-manifolds.
  • 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_69d8e8ccb8f48190ad420098e74fb1db completed April 10, 2026, 12:10 p.m.
NER Named-entity recognition batch_69e5fa9ce5e081909df994841ce476d5 completed April 20, 2026, 10:06 a.m.
Created at: April 10, 2026, 1:25 p.m.