Triple

T16150973
Position Surface form Disambiguated ID Type / Status
Subject Dirac operator E391906 entity
Predicate usedToStudy P770 FINISHED
Object Seiberg–Witten invariants E861521 NE FINISHED

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: Seiberg–Witten invariants | Statement: [Dirac operator, usedToStudy, Seiberg–Witten invariants]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Seiberg–Witten invariants
Context triple: [Dirac operator, usedToStudy, Seiberg–Witten invariants]
  • A. Seiberg–Witten invariants chosen
    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.
  • B. Seiberg–Witten theory
    Seiberg–Witten theory is a framework in quantum field theory and string theory that uses supersymmetry to exactly analyze strongly coupled gauge theories, leading to profound insights into dualities and four-dimensional topology.
  • C. Donaldson invariants
    Donaldson invariants are sophisticated topological invariants of smooth four-dimensional manifolds derived from moduli spaces of anti-self-dual connections, central to the study of 4-manifold differential topology.
  • D. Seiberg–Witten differential
    The Seiberg–Witten differential is a meromorphic one-form on the Seiberg–Witten curve whose periods encode the low-energy effective couplings and BPS spectrum of certain supersymmetric gauge theories.
  • E. Seiberg–Witten curve
    The Seiberg–Witten curve is an auxiliary complex algebraic curve encoding the low-energy effective dynamics of certain supersymmetric gauge theories, particularly their moduli spaces and BPS spectra.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69d87f1c65e48190aa2b4c472e9bafc4 completed April 10, 2026, 4:39 a.m.
NER Named-entity recognition batch_69e21d9724808190a8332987583a345a completed April 17, 2026, 11:46 a.m.
NED1 Entity disambiguation (via context triple) batch_69fff7a9ebf08190aa21cdff051f4ba2 completed May 10, 2026, 3:12 a.m.
Created at: April 10, 2026, 5:01 a.m.