Triple
T12105803
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Elements of Analytical Geometry and of the Differential and Integral Calculus |
E288299
|
entity |
| Predicate | hasTopic |
P531
|
FINISHED |
| Object | Cartesian coordinates |
E39344
|
NE 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: Cartesian coordinates | Statement: [Elements of Analytical Geometry and of the Differential and Integral Calculus, hasTopic, Cartesian coordinates]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Cartesian coordinates Context triple: [Elements of Analytical Geometry and of the Differential and Integral Calculus, hasTopic, Cartesian coordinates]
-
A.
Cartesian coordinate system
chosen
The Cartesian coordinate system is a mathematical framework that uses perpendicular axes to represent points in a plane or space with ordered numerical coordinates.
-
B.
Poincaré coordinates
Poincaré coordinates are a commonly used coordinate system on anti-de Sitter space that makes its conformal boundary manifestly Minkowskian and is especially convenient in AdS/CFT calculations.
-
C.
Plücker coordinates
Plücker coordinates are a system of homogeneous coordinates used in projective geometry to represent lines (and other subspaces) in higher-dimensional spaces.
-
D.
Cartesian circle
The Cartesian circle is a famous alleged circular reasoning in René Descartes’ Meditations, where his proof of God’s existence and his justification of clear and distinct perceptions appear to depend on each other.
-
E.
Euclidean space
Euclidean space is the standard flat, n-dimensional geometric setting of classical geometry and vector calculus, characterized by straight lines, right angles, and the usual distance and dot product.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
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_69d6ab4a5c448190a110d1273314b21a |
completed | April 8, 2026, 7:23 p.m. |
| NER | Named-entity recognition | batch_69d91561eaec819096ba00682d81f41a |
completed | April 10, 2026, 3:21 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f5f6795bf88190891acf918a432bef |
completed | May 2, 2026, 1:04 p.m. |
Created at: April 8, 2026, 9:49 p.m.