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.