Triple

T3919338
Position Surface form Disambiguated ID Type / Status
Subject Longuet-Higgins theorem in molecular symmetry E88919 entity
Predicate relatedTo P37 FINISHED
Object Wigner’s theorem on degeneracies E98262 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: Wigner’s theorem on degeneracies | Statement: [Longuet-Higgins theorem in molecular symmetry, relatedTo, Wigner’s theorem on degeneracies]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Wigner’s theorem on degeneracies
Context triple: [Longuet-Higgins theorem in molecular symmetry, relatedTo, Wigner’s theorem on degeneracies]
  • A. Wigner’s theorem on symmetry transformations chosen
    Wigner’s theorem on symmetry transformations is a fundamental result in quantum mechanics stating that any symmetry of transition probabilities is represented by either a unitary or antiunitary operator on the system’s Hilbert space.
  • B. Wigner–Eckart theorem
    The Wigner–Eckart theorem is a fundamental result in quantum mechanics that factorizes matrix elements of tensor operators into a reduced matrix element and a purely geometric part given by Clebsch–Gordan coefficients, greatly simplifying angular momentum calculations.
  • C. Brillouin–Wigner perturbation theory
    Brillouin–Wigner perturbation theory is a formulation of quantum mechanical perturbation theory that uses an energy-dependent effective Hamiltonian to obtain improved approximations to eigenvalues and eigenstates.
  • D. Mathematical Foundations of Quantum Mechanics
    Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
  • E. Rayleigh–Schrödinger perturbation theory
    Rayleigh–Schrödinger perturbation theory is a fundamental method in quantum mechanics for approximating the energies and states of a system by treating interactions as small corrections to an exactly solvable problem.
  • 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_69aed955229881909e85e73ffab1d343 completed March 9, 2026, 2:29 p.m.
NER Named-entity recognition batch_69aeed5af92481908aa55bd9286a090c completed March 9, 2026, 3:55 p.m.
NED1 Entity disambiguation (via context triple) batch_69b5286830d08190bd6e583360136342 completed March 14, 2026, 9:20 a.m.
Created at: March 9, 2026, 3:22 p.m.