Triple
T21047204
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lindelöf hypothesis |
E518478
|
entity |
| Predicate | isNotKnownToBeEquivalentTo |
P142622
|
FINISHED |
| Object | Riemann Hypothesis |
—
|
NE NERFINISHED |
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: [Lindelöf hypothesis, isNotKnownToBeEquivalentTo, Riemann Hypothesis]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Riemann Hypothesis Context triple: [Lindelöf hypothesis, isNotKnownToBeEquivalentTo, 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.
Lindelöf hypothesis
The Lindelöf hypothesis is an unproven conjecture in analytic number theory about the growth rate of the Riemann zeta function along the critical line, with deep implications for the distribution of prime numbers.
-
C.
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.
-
D.
grand Riemann hypothesis
The grand Riemann hypothesis is a far-reaching conjecture in number theory asserting that all nontrivial zeros of all automorphic L-functions lie on a critical line in the complex plane, generalizing the classical and generalized Riemann hypotheses.
-
E.
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.
- 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: isNotKnownToBeEquivalentTo Context triple: [Lindelöf hypothesis, isNotKnownToBeEquivalentTo, Riemann Hypothesis]
-
A.
isDistinctFrom
Indicates that two entities are not identical and can be clearly distinguished from one another.
-
B.
isNotSynonymOf
Indicates that two terms or expressions do not share the same or sufficiently similar meaning and therefore are not synonyms of each other.
-
C.
isDynamicallyDistinctFrom
Indicates that two entities differ in their behavior, state changes, or evolution over time, even if they may appear similar in static properties.
-
D.
hasEquivalent
Indicates that two entities are considered equal in value, meaning, or function within a given context.
-
E.
isNotType
Indicates that one entity is explicitly not of a specified type or category in relation to another.
- F. None of above. chosen
Provenance (4 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_69e0b50438e08190917e2538bb8bc034 |
completed | April 16, 2026, 10:08 a.m. |
| NER | Named-entity recognition | batch_69e6fcf4d26481908b639996500a8319 |
completed | April 21, 2026, 4:28 a.m. |
| PD | Predicate disambiguation | batch_69e5dbf6728881908a2a43a5c8804a2a |
completed | April 20, 2026, 7:55 a.m. |
| PDg | Predicate description generation | batch_69e5e2df1a888190b5b478e76bdf7fdf |
completed | April 20, 2026, 8:25 a.m. |
Created at: April 16, 2026, 2:34 p.m.