Triple
T18479911
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | twin prime conjecture |
E451529
|
entity |
| Predicate | historicalAttribution |
P9909
|
FINISHED |
| Object | studied by Atle Selberg |
—
|
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: studied by Atle Selberg | Statement: [twin prime conjecture, historicalAttribution, studied by Atle Selberg]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: studied by Atle Selberg Context triple: [twin prime conjecture, historicalAttribution, studied by Atle Selberg]
-
A.
Atle Selberg
Atle Selberg was a Norwegian mathematician renowned for his profound contributions to analytic number theory, particularly the Selberg trace formula and work related to the Riemann zeta function.
-
B.
Selberg sieve
chosen
The Selberg sieve is a powerful analytic number theory method developed by Atle Selberg for estimating the size of sets of integers filtered by divisibility conditions, particularly in the study of prime numbers.
-
C.
Selberg eigenvalue conjecture
The Selberg eigenvalue conjecture is a major open problem in analytic number theory and spectral theory that predicts a specific lower bound for the nontrivial eigenvalues of the Laplace operator on certain arithmetic hyperbolic surfaces.
-
D.
Selberg trace formula
The Selberg trace formula is a fundamental result in analytic number theory and spectral theory that relates lengths of closed geodesics on a Riemannian manifold to the spectrum of its Laplace operator, serving as a non-abelian analogue of the Poisson summation formula.
-
E.
Dutch school of number theory
The Dutch school of number theory is a mathematical tradition centered in the Netherlands, known for its influential contributions to Diophantine approximation, uniform distribution, and analytic number theory.
- 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_69d8d38465a0819099b9b42d2a662ac1 |
completed | April 10, 2026, 10:40 a.m. |
| NER | Named-entity recognition | batch_69e53066a7108190a50eda9b489c90ca |
completed | April 19, 2026, 7:43 p.m. |
Created at: April 10, 2026, 11:35 a.m.