Triple
T25550013
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Mordell curve |
E640411
|
entity |
| Predicate | hasTorsionPoints |
P163687
|
FINISHED |
| Object | finite set over 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: finite set over ℚ | Statement: [Mordell curve, hasTorsionPoints, finite set over ℚ]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasTorsionPoints Context triple: [Mordell curve, hasTorsionPoints, finite set over ℚ]
-
A.
numberOf2TorsionPoints
Indicates the count of elements in a group (typically an elliptic curve) that have order 2, i.e., the number of distinct 2-torsion points.
-
B.
hasTorsion
Indicates that an object or structure possesses torsion, meaning it is subject to or characterized by twisting about an axis.
-
C.
hasWeierstrassPoints
Indicates that a given algebraic curve possesses one or more Weierstrass points, i.e., special points where the gap sequence of holomorphic differentials deviates from the generic case.
-
D.
hasNumberOfCusps
Indicates the specific count of cusps (pointed projections or tips) that an entity possesses.
-
E.
hasComplexPoints
Indicates that something possesses or includes points that are intricate, detailed, or composed of multiple interconnected parts.
- 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_69e75dc101a881909fd33b02174e9768 |
completed | April 21, 2026, 11:21 a.m. |
| NER | Named-entity recognition | batch_69f6397b64f881909d811225e57aac5e |
completed | May 2, 2026, 5:50 p.m. |
| PD | Predicate disambiguation | batch_69f63706b6008190993577193c85ff50 |
completed | May 2, 2026, 5:40 p.m. |
| PDg | Predicate description generation | batch_69f638d029148190877c103f0eeaf147 |
completed | May 2, 2026, 5:48 p.m. |
Created at: April 21, 2026, 3:36 p.m.