Triple
T10991110
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | generalized Riemann hypothesis |
E259754
|
entity |
| Predicate | nontrivialZerosLieOn |
P37887
|
FINISHED |
| Object | critical line Re(s) = 1/2 |
—
|
LITERAL FINISHED |
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: critical line Re(s) = 1/2 | Statement: [generalized Riemann hypothesis, nontrivialZerosLieOn, critical line Re(s) = 1/2]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: nontrivialZerosLieOn Context triple: [generalized Riemann hypothesis, nontrivialZerosLieOn, critical line Re(s) = 1/2]
-
A.
nontrivialZerosRegion
chosen
Indicates that the nontrivial zeros of a function (typically the Riemann zeta function) lie within a specified region of the complex plane.
-
B.
trivialRationalPoints
Indicates that the only rational points satisfying the given condition or lying on the given object are the trivial or obvious ones (typically those forced by the structure, such as points at infinity or simple coordinate values).
-
C.
isNonzeroFor
Indicates that a given value, function, or quantity is not equal to zero under specified conditions or for specified inputs.
-
D.
hasOrderOfPoleAtLatticePoints
Indicates that a function has poles of specified orders at each point of a given lattice in its domain.
-
E.
hasZeroDivisors
Indicates that within a given algebraic structure, there exist nonzero elements whose product is zero, i.e., the structure contains zero divisors.
- F. None of above.
Provenance (3 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_69d6aa8a6a548190a750f944ccdc8064 |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d787b8d7088190b7d6b63c3bac4ad1 |
completed | April 9, 2026, 11:04 a.m. |
| PD | Predicate disambiguation | batch_69d72e9055908190b438f039574aaaaf |
completed | April 9, 2026, 4:44 a.m. |
Created at: April 8, 2026, 9:24 p.m.