Triple

T9600465
Position Surface form Disambiguated ID Type / Status
Subject Asher Peres E231834 entity
Predicate notableFor P22 FINISHED
Object Peres–Mermin magic square
The Peres–Mermin magic square is a famous quantum mechanics thought experiment and proof of contextuality that demonstrates the impossibility of assigning noncontextual hidden variables to certain quantum observables.
E645528 NE FINISHED

How this triple was built (4 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: Peres–Mermin magic square | Statement: [Asher Peres, notableFor, Peres–Mermin magic square]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Peres–Mermin magic square
Context triple: [Asher Peres, notableFor, Peres–Mermin magic square]
  • A. 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.
  • B. Clauser–Horne–Shimony–Holt inequality
    The Clauser–Horne–Shimony–Holt inequality is a key formulation of Bell's inequality used in quantum mechanics to test the incompatibility of local hidden variable theories with the predictions of quantum entanglement.
  • C. Frauchiger–Renner paradox
    The Frauchiger–Renner paradox is a thought experiment in quantum foundations that extends Wigner’s friend scenario to argue that standard quantum theory cannot consistently describe its own use by multiple observers.
  • D. Clauser–Horne inequality
    The Clauser–Horne inequality is a fundamental Bell-type inequality in quantum mechanics used to experimentally test local realism against the predictions of quantum entanglement.
  • E. Birkhoff–von Neumann theorem
    The Birkhoff–von Neumann theorem is a fundamental result in matrix theory and combinatorics stating that every doubly stochastic matrix can be expressed as a convex combination of permutation matrices.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Peres–Mermin magic square
Triple: [Asher Peres, notableFor, Peres–Mermin magic square]
Generated description
The Peres–Mermin magic square is a famous quantum mechanics thought experiment and proof of contextuality that demonstrates the impossibility of assigning noncontextual hidden variables to certain quantum observables.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Peres–Mermin magic square
Target entity description: The Peres–Mermin magic square is a famous quantum mechanics thought experiment and proof of contextuality that demonstrates the impossibility of assigning noncontextual hidden variables to certain quantum observables.
  • A. Kochen–Specker theorem chosen
    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.
  • B. Clauser–Horne–Shimony–Holt inequality
    The Clauser–Horne–Shimony–Holt inequality is a key formulation of Bell's inequality used in quantum mechanics to test the incompatibility of local hidden variable theories with the predictions of quantum entanglement.
  • C. Frauchiger–Renner paradox
    The Frauchiger–Renner paradox is a thought experiment in quantum foundations that extends Wigner’s friend scenario to argue that standard quantum theory cannot consistently describe its own use by multiple observers.
  • D. Clauser–Horne inequality
    The Clauser–Horne inequality is a fundamental Bell-type inequality in quantum mechanics used to experimentally test local realism against the predictions of quantum entanglement.
  • E. Birkhoff–von Neumann theorem
    The Birkhoff–von Neumann theorem is a fundamental result in matrix theory and combinatorics stating that every doubly stochastic matrix can be expressed as a convex combination of permutation matrices.
  • F. None of above.

Provenance (5 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_69ca8484838c8190b2049199d22fef70 completed March 30, 2026, 2:11 p.m.
NER Named-entity recognition batch_69cd9a3934d481908400a63335d644bd completed April 1, 2026, 10:20 p.m.
NED1 Entity disambiguation (via context triple) batch_69d161a4a7ac81909060a929e5489512 completed April 4, 2026, 7:08 p.m.
NEDg Description generation batch_69d16387182c8190bd2115dbffb31d5c completed April 4, 2026, 7:16 p.m.
NED2 Entity disambiguation (via description) batch_69d163e654388190ba9b617e6fac18ad completed April 4, 2026, 7:17 p.m.
Created at: March 30, 2026, 8:07 p.m.