Triple

T12026975
Position Surface form Disambiguated ID Type / Status
Subject Connes embedding problem E286302 entity
Predicate relatedConcept P37 FINISHED
Object QWEP conjecture
The QWEP conjecture is a major open problem in operator algebras asserting that every C*-algebra is a quotient of a C*-algebra with the weak expectation property, closely tied to the Connes embedding problem.
E286302 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: QWEP conjecture | Statement: [Connes embedding problem, relatedConcept, QWEP conjecture]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: QWEP conjecture
Context triple: [Connes embedding problem, relatedConcept, QWEP conjecture]
  • A. Connes embedding problem
    The Connes embedding problem is a central open question in operator algebras and quantum theory that asks whether every separable II₁ factor can be approximated in a specific way by finite-dimensional matrix algebras.
  • B. Erdős–Turán conjecture
    The Erdős–Turán conjecture is an unsolved problem in additive number theory asserting that any subset of the positive integers with divergent sum of reciprocals must contain arbitrarily long arithmetic progressions.
  • C. Alon–Tarsi conjecture
    The Alon–Tarsi conjecture is a prominent open problem in combinatorics and graph theory concerning orientations and colorings of graphs, with deep connections to Latin squares and polynomial method techniques.
  • D. Monstrous Moonshine conjecture
    The Monstrous Moonshine conjecture is a famous result in mathematics that reveals a deep and unexpected connection between the Monster finite simple group and modular functions in number theory.
  • E. Erdős–Straus conjecture
    The Erdős–Straus conjecture is an unsolved problem in number theory asserting that for every integer n ≥ 2, the fraction 4/n can be expressed as a sum of three unit fractions.
  • 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: QWEP conjecture
Triple: [Connes embedding problem, relatedConcept, QWEP conjecture]
Generated description
The QWEP conjecture is a major open problem in operator algebras asserting that every C*-algebra is a quotient of a C*-algebra with the weak expectation property, closely tied to the Connes embedding problem.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: QWEP conjecture
Target entity description: The QWEP conjecture is a major open problem in operator algebras asserting that every C*-algebra is a quotient of a C*-algebra with the weak expectation property, closely tied to the Connes embedding problem.
  • A. Connes embedding problem chosen
    The Connes embedding problem is a central open question in operator algebras and quantum theory that asks whether every separable II₁ factor can be approximated in a specific way by finite-dimensional matrix algebras.
  • B. Erdős–Turán conjecture
    The Erdős–Turán conjecture is an unsolved problem in additive number theory asserting that any subset of the positive integers with divergent sum of reciprocals must contain arbitrarily long arithmetic progressions.
  • C. Alon–Tarsi conjecture
    The Alon–Tarsi conjecture is a prominent open problem in combinatorics and graph theory concerning orientations and colorings of graphs, with deep connections to Latin squares and polynomial method techniques.
  • D. Monstrous Moonshine conjecture
    The Monstrous Moonshine conjecture is a famous result in mathematics that reveals a deep and unexpected connection between the Monster finite simple group and modular functions in number theory.
  • E. Erdős–Straus conjecture
    The Erdős–Straus conjecture is an unsolved problem in number theory asserting that for every integer n ≥ 2, the fraction 4/n can be expressed as a sum of three unit fractions.
  • 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_69d6ab4669e48190b59246358b0383ab completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d903f02638819091e0cc0e93fa5ea7 completed April 10, 2026, 2:06 p.m.
NED1 Entity disambiguation (via context triple) batch_69f48b8111b88190a42a8904a2d26862 completed May 1, 2026, 11:16 a.m.
NEDg Description generation batch_69f48fc7a8848190a06b34cc45db4789 completed May 1, 2026, 11:34 a.m.
NED2 Entity disambiguation (via description) batch_69f495f069c48190a6e5856c272420c0 completed May 1, 2026, noon
Created at: April 8, 2026, 9:47 p.m.