Triple
T6833480
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Bernoulli lemniscate |
E157392
|
entity |
| Predicate | specialCaseOf |
P7025
|
FINISHED |
| Object |
Cassini oval
A Cassini oval is a plane algebraic curve consisting of all points whose product of distances to two fixed foci is constant, forming shapes that range from a single loop to a figure-eight.
|
E157392
|
NE FINISHED |
How this triple was built (4 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: Cassini oval | Statement: [Bernoulli lemniscate, specialCaseOf, Cassini oval]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Cassini oval Context triple: [Bernoulli lemniscate, specialCaseOf, Cassini oval]
-
A.
Bernoulli lemniscate
The Bernoulli lemniscate is a figure-eight–shaped algebraic curve that serves as a classic example in the study of complex analysis, elliptic functions, and special constants.
-
B.
Tusi couple
The Tusi couple is a geometric device from medieval Islamic astronomy that generates linear motion from the sum of two circular motions, later influencing Copernican models of planetary motion.
-
C.
Ellipse
The Ellipse is a large, oval-shaped public park and ceremonial lawn just south of the White House in Washington, D.C., often used for national events and recreation.
-
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.
Ellipsoids
"Ellipsoids" is a sculptural series by German artist Isa Genzken that explores geometric abstraction through elongated, aerodynamic forms often associated with modern architecture and industrial design.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Cassini oval Triple: [Bernoulli lemniscate, specialCaseOf, Cassini oval]
Generated description
A Cassini oval is a plane algebraic curve consisting of all points whose product of distances to two fixed foci is constant, forming shapes that range from a single loop to a figure-eight.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Cassini oval Target entity description: A Cassini oval is a plane algebraic curve consisting of all points whose product of distances to two fixed foci is constant, forming shapes that range from a single loop to a figure-eight.
-
A.
Bernoulli lemniscate
chosen
The Bernoulli lemniscate is a figure-eight–shaped algebraic curve that serves as a classic example in the study of complex analysis, elliptic functions, and special constants.
-
B.
Tusi couple
The Tusi couple is a geometric device from medieval Islamic astronomy that generates linear motion from the sum of two circular motions, later influencing Copernican models of planetary motion.
-
C.
Ellipse
The Ellipse is a large, oval-shaped public park and ceremonial lawn just south of the White House in Washington, D.C., often used for national events and recreation.
-
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.
Ellipsoids
"Ellipsoids" is a sculptural series by German artist Isa Genzken that explores geometric abstraction through elongated, aerodynamic forms often associated with modern architecture and industrial design.
- F. None of above.
Provenance (5 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_69c6882c53608190b99aebef079b23bd |
completed | March 27, 2026, 1:37 p.m. |
| NER | Named-entity recognition | batch_69c6d62b1e8c8190a81d91191a54b073 |
completed | March 27, 2026, 7:10 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c723fd50c88190af005fd58ca0aee6 |
completed | March 28, 2026, 12:42 a.m. |
| NEDg | Description generation | batch_69c7247806808190ac60c134cec612c8 |
completed | March 28, 2026, 12:44 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c7253b94f081909e7cee870a12af6b |
completed | March 28, 2026, 12:47 a.m. |
Created at: March 27, 2026, 2:18 p.m.