Triple
T8733495
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hasse bound for elliptic curves |
E207314
|
entity |
| Predicate | givesLowerBound |
P17139
|
FINISHED |
| Object | #E(F_q) ≥ q + 1 - 2√q |
—
|
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: #E(F_q) ≥ q + 1 - 2√q | Statement: [Hasse bound for elliptic curves, givesLowerBound, #E(F_q) ≥ q + 1 - 2√q]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: givesLowerBound Context triple: [Hasse bound for elliptic curves, givesLowerBound, #E(F_q) ≥ q + 1 - 2√q]
-
A.
hasLowerBoundaryDefinedBy
Indicates that one entity’s lower limit, edge, or boundary is specified or determined by another entity.
-
B.
isBoundedBelow
Indicates that every value in a set or function is greater than or equal to some fixed lower bound.
-
C.
isUpperBoundFor
Indicates that one value is greater than or equal to every element in a given set or collection, serving as an upper limit for them.
-
D.
hasLower
Indicates that one entity is positioned at a lower level, rank, or value relative to another entity.
-
E.
lowerLimit
chosen
Indicates that one value serves as the minimum or smallest allowable bound or threshold for another value or range.
- 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_69ca8358e4008190898471a59b96c301 |
completed | March 30, 2026, 2:06 p.m. |
| NER | Named-entity recognition | batch_69cc5d2a26988190acfda17f232e610a |
completed | March 31, 2026, 11:47 p.m. |
| PD | Predicate disambiguation | batch_69cc457322b481908712a9630a17b954 |
completed | March 31, 2026, 10:06 p.m. |
Created at: March 30, 2026, 6:37 p.m.