Triple

T17752601
Position Surface form Disambiguated ID Type / Status
Subject Gleason’s theorem E443148 entity
Predicate generalizedBy P2372 FINISHED
Object Gleason-type theorems for POVMs — 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: Gleason-type theorems for POVMs | Statement: [Gleason’s theorem, generalizedBy, Gleason-type theorems for POVMs]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Gleason-type theorems for POVMs
Context triple: [Gleason’s theorem, generalizedBy, Gleason-type theorems for POVMs]
  • A. Gleason’s theorem chosen
    Gleason’s theorem is a foundational result in the mathematical formulation of quantum mechanics that characterizes all probability measures on the lattice of projection operators in a Hilbert space, effectively justifying the Born rule.
  • B. 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.
  • C. Kochen–Specker theorem
    The Kochen–Specker theorem is a foundational result in quantum mechanics showing that it is impossible to assign consistent, noncontextual definite values to all quantum observables, thereby ruling out a broad class of hidden-variable theories.
  • D. The Logic of Quantum Mechanics
    The Logic of Quantum Mechanics is a seminal philosophical work by Hilary Putnam that examines the conceptual and logical foundations of quantum theory and its implications for realism and the philosophy of science.
  • E. Wigner’s theorem on symmetry transformations
    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.
  • 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_69d8b9edf16c8190a59ebd245d378f4f completed April 10, 2026, 8:50 a.m.
NER Named-entity recognition batch_69e4841c0540819093a32d759775c61f completed April 19, 2026, 7:28 a.m.
Created at: April 10, 2026, 10:10 a.m.