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.