Triple
T9843397
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hardy Z-function |
E239280
|
entity |
| Predicate | zeroCorrespondence |
P9150
|
FINISHED |
| Object | Z(t) = 0 if and only if ζ(1/2 + it) = 0 for real t |
—
|
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: Z(t) = 0 if and only if ζ(1/2 + it) = 0 for real t | Statement: [Hardy Z-function, zeroCorrespondence, Z(t) = 0 if and only if ζ(1/2 + it) = 0 for real t]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: zeroCorrespondence Context triple: [Hardy Z-function, zeroCorrespondence, Z(t) = 0 if and only if ζ(1/2 + it) = 0 for real t]
-
A.
zeroRelation
Indicates that there is no meaningful or relevant relationship between the entities in the given context.
-
B.
zeroConcept
Indicates a conceptual or abstract entity that has no concrete instances or realizations in the given context.
-
C.
containsCorrespondenceWith
Indicates that one entity includes or holds correspondence (such as messages or communications) that is associated with or exchanged with another entity.
-
D.
isZeroFor
chosen
Indicates that a given value, expression, or function evaluates to zero when applied to or considered with respect to a specified entity or context.
-
E.
notAlignedWith
Indicates that one entity’s position, orientation, or viewpoint does not correspond or agree with that of another entity.
- 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_69ca84e3f0c48190ada72a65ebd50efd |
completed | March 30, 2026, 2:12 p.m. |
| NER | Named-entity recognition | batch_69cdb35c8e348190aa090c71bf6f30eb |
completed | April 2, 2026, 12:07 a.m. |
| PD | Predicate disambiguation | batch_69cd03e57cac8190914bb5ae608a6e0e |
completed | April 1, 2026, 11:39 a.m. |
Created at: March 30, 2026, 8:33 p.m.