Triple

T21783442
Position Surface form Disambiguated ID Type / Status
Subject Fefferman–Phong inequality E537775 entity
Predicate mainConcept P533 FINISHED
Object Schrödinger operators — 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: Schrödinger operators | Statement: [Fefferman–Phong inequality, mainConcept, Schrödinger operators]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Schrödinger operators
Context triple: [Fefferman–Phong inequality, mainConcept, Schrödinger operators]
  • A. Schrödinger operators chosen
    Schrödinger operators are a class of differential operators fundamental in quantum mechanics and spectral theory, used to describe the energy and dynamics of quantum systems.
  • B. Møller operators
    Møller operators are mathematical operators in quantum scattering theory that connect free particle states to interacting scattering states, enabling the formulation of asymptotic in and out states.
  • C. Schrödinger equation with point interactions
    The Schrödinger equation with point interactions is a quantum-mechanical model in which particles interact via idealized zero-range potentials, typically represented mathematically by Dirac delta functions.
  • D. Hilbert–Schmidt operators
    Hilbert–Schmidt operators are a class of compact operators on Hilbert spaces characterized by having finite Hilbert–Schmidt norm, playing a central role in functional analysis and operator theory.
  • E. Steklov operator
    The Steklov operator is a boundary integral operator arising in the study of elliptic partial differential equations and spectral problems, particularly in the context of Steklov eigenvalue problems.
  • 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_69e0c47198f881908cb0d237266c10e9 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69f0462ed0ec81908833e18c164e8b5c completed April 28, 2026, 5:31 a.m.
Created at: April 16, 2026, 6:52 p.m.