Triple
T8733499
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hasse bound for elliptic curves |
E207314
|
entity |
| Predicate | sharpnessCondition |
P84550
|
FINISHED |
| Object | for many q there exist elliptic curves attaining equality |a| = 2√q when 2√q is integer |
—
|
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: for many q there exist elliptic curves attaining equality |a| = 2√q when 2√q is integer | Statement: [Hasse bound for elliptic curves, sharpnessCondition, for many q there exist elliptic curves attaining equality |a| = 2√q when 2√q is integer]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: sharpnessCondition Context triple: [Hasse bound for elliptic curves, sharpnessCondition, for many q there exist elliptic curves attaining equality |a| = 2√q when 2√q is integer]
-
A.
angleCondition
Indicates that a specified geometric relationship holds between angles, such as equality, inequality, or a particular angular constraint.
-
B.
captureCondition
Indicates the specific circumstances or criteria under which a capture event or action is triggered or considered valid.
-
C.
sensorResolution
Indicates the level of detail or precision with which a sensor can measure or distinguish changes in the observed quantity or environment.
-
D.
hasApertureShape
Indicates that an entity’s aperture (opening) has a specific geometric or descriptive shape.
-
E.
hasSharperPeakThan
Indicates that one entity’s peak (e.g., in a graph, distribution, or signal) is more pointed or narrow than the peak of another entity.
- 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_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. |
| PDg | Predicate description generation | batch_69cc572d99bc819097f36b140c2ee1ce |
completed | March 31, 2026, 11:22 p.m. |
Created at: March 30, 2026, 6:37 p.m.