Triple

T20690649
Position Surface form Disambiguated ID Type / Status
Subject Donaldson–Witten theory E508540 entity
Predicate relatedTo P37 FINISHED
Object Yang–Mills instantons 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: Yang–Mills instantons | Statement: [Donaldson–Witten theory, relatedTo, Yang–Mills instantons]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Yang–Mills instantons
Context triple: [Donaldson–Witten theory, relatedTo, Yang–Mills instantons]
  • A. Einstein–Yang–Mills equations
    The Einstein–Yang–Mills equations are the coupled field equations that describe how non-abelian gauge fields (such as those in Yang–Mills theory) interact with and curve spacetime within the framework of general relativity.
  • B. Yang–Mills theory chosen
    Yang–Mills theory is a gauge field theory describing the behavior of non-abelian gauge fields, forming the mathematical foundation for modern particle physics, including the strong and electroweak interactions.
  • C. Seiberg–Witten invariants
    Seiberg–Witten invariants are powerful topological invariants of smooth four-manifolds derived from solutions to the Seiberg–Witten equations, used to distinguish different smooth structures and study the geometry and topology of 4D spaces.
  • D. “The self-duality equations on a Riemann surface”
    “The self-duality equations on a Riemann surface” is a seminal mathematical paper that introduced what are now called Hitchin equations, laying foundational connections between gauge theory, Higgs bundles, and the geometry of moduli spaces on Riemann surfaces.
  • E. ’t Hooft–Polyakov monopoles
    ’t Hooft–Polyakov monopoles are theoretical, finite-energy magnetic monopole solutions arising in certain non-abelian gauge theories with spontaneous symmetry breaking.
  • 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_69e0b4c1ed408190b72dd26b1e33f8a1 completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e6c10d83548190a52b9ef84c8f9205 completed April 21, 2026, 12:13 a.m.
Created at: April 16, 2026, 12:08 p.m.