Triple
T29565750
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Sato–Tate distribution (for families of elliptic curves) |
E753156
|
entity |
| Predicate | angleDefinition |
P64876
|
FINISHED |
| Object | θ_p ∈ [0, π] with a_p(E) = 2√p cos θ_p |
—
|
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: θ_p ∈ [0, π] with a_p(E) = 2√p cos θ_p | Statement: [Sato–Tate distribution (for families of elliptic curves), angleDefinition, θ_p ∈ [0, π] with a_p(E) = 2√p cos θ_p]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: angleDefinition Context triple: [Sato–Tate distribution (for families of elliptic curves), angleDefinition, θ_p ∈ [0, π] with a_p(E) = 2√p cos θ_p]
-
A.
angleRelation
Indicates a relationship specifying how two or more angles are related to each other, such as being equal, complementary, supplementary, or otherwise geometrically constrained.
-
B.
angleProperty
chosen
Indicates that a relationship specifies a particular geometric or quantitative characteristic (such as measure, type, or orientation) of an angle between entities.
-
C.
degreeForm
Indicates that one entity is the specific academic degree or qualification conferred in the context of another entity (such as a program, award, or credential).
-
D.
angleBetweenWalls
Indicates the measure of the geometric angle formed at the intersection of two walls.
-
E.
keyAngle
Indicates the angular orientation or rotation of a key relative to a reference position or axis.
- 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_69f0ef7fcb4881908a933110adb9bda1 |
completed | April 28, 2026, 5:33 p.m. |
| NER | Named-entity recognition | batch_69f66d2061c88190b433ce83fa06d41b |
completed | May 2, 2026, 9:31 p.m. |
| PD | Predicate disambiguation | batch_69f6633ac8a88190ab0cda62bbfcf9b0 |
completed | May 2, 2026, 8:48 p.m. |
Created at: April 28, 2026, 5:52 p.m.