Triple
T2364821
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Über die Anzahl der Primzahlen unter einer gegebenen Grösse |
E47355
|
entity |
| Predicate | associatedConjecture |
P38260
|
FINISHED |
| Object | Riemann Hypothesis |
E47346
|
NE FINISHED |
How this triple was built (3 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: Riemann Hypothesis | Statement: [Über die Anzahl der Primzahlen unter einer gegebenen Grösse, associatedConjecture, Riemann Hypothesis]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Riemann Hypothesis Context triple: [Über die Anzahl der Primzahlen unter einer gegebenen Grösse, associatedConjecture, Riemann Hypothesis]
-
A.
Riemann hypothesis
chosen
The Riemann hypothesis is a famous unsolved conjecture in number theory asserting that all nontrivial zeros of the Riemann zeta function lie on a critical line in the complex plane, with deep implications for the distribution of prime numbers.
-
B.
Hilbert–Pólya conjecture
The Hilbert–Pólya conjecture is an unproven idea in number theory suggesting that the nontrivial zeros of the Riemann zeta function correspond to eigenvalues of a suitable self-adjoint operator, offering a potential spectral approach to proving the Riemann hypothesis.
-
C.
generalized Riemann hypothesis
The generalized Riemann hypothesis is a major unproven conjecture in number theory asserting that the nontrivial zeros of all Dirichlet L-functions lie on a critical line in the complex plane, extending the classical Riemann hypothesis.
-
D.
Millennium Prize Problem
The Millennium Prize Problem is one of seven famous unsolved mathematical problems designated by the Clay Mathematics Institute, each carrying a $1 million reward for a correct solution.
-
E.
Fermat's Last Theorem
Fermat's Last Theorem is a famous statement in number theory asserting that there are no whole-number solutions to the equation xⁿ + yⁿ = zⁿ for integers n greater than 2, a problem that remained unsolved for over three centuries until it was proved by Andrew Wiles in the 1990s.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: associatedConjecture Context triple: [Über die Anzahl der Primzahlen unter einer gegebenen Grösse, associatedConjecture, Riemann Hypothesis]
-
A.
announcedMillenniumProblems
Indicates that an entity formally proclaimed or made public the set of Millennium Problems.
-
B.
numberOfMillenniumProblems
Indicates the total count of Millennium Problems associated with a given subject or context.
-
C.
associatedWithSee
Indicates a relationship where one entity is contextually or functionally linked to another through the act or concept of seeing or visual observation.
-
D.
associatedMatha
Indicates a relationship where one entity is linked or affiliated with a particular matha (monastic or religious institution).
-
E.
alsoHolds
Indicates that a condition, property, or relation that applies in one context or case simultaneously applies in another context or case.
- F. None of above. chosen
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_69a88a1a4a6081908645b0f2914521ab |
completed | March 4, 2026, 7:38 p.m. |
| NER | Named-entity recognition | batch_69abc7486cb48190acef1891cc87bdb1 |
completed | March 7, 2026, 6:35 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69aebf2eb7a88190b421df42acbd974b |
completed | March 9, 2026, 12:38 p.m. |
| PD | Predicate disambiguation | batch_69abc599b92c819093d9e15d4437705d |
completed | March 7, 2026, 6:28 a.m. |
| PDg | Predicate description generation | batch_69abc6a85e2c8190afec217ff29476be |
completed | March 7, 2026, 6:33 a.m. |
Created at: March 4, 2026, 7:55 p.m.