Triple
T6801835
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Archimedes' spiral |
E156204
|
entity |
| Predicate | hasPolarEquation |
P73090
|
FINISHED |
| Object | r = a + bθ |
—
|
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: r = a + bθ | Statement: [Archimedes' spiral, hasPolarEquation, r = a + bθ]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasPolarEquation Context triple: [Archimedes' spiral, hasPolarEquation, r = a + bθ]
-
A.
hasPolarRadius
Indicates that an entity possesses a specific radius measured from its center to its pole, typically used for spheroidal or planetary bodies.
-
B.
hasClosedForm
Indicates that a mathematical expression, function, or solution can be written in a finite, explicit form using a standard set of operations and well-known functions.
-
C.
hasCharacteristicPolynomial
Indicates that one mathematical object (typically a matrix or linear operator) is associated with a specific characteristic polynomial that encodes its eigenvalue-related properties.
-
D.
meetsAtPolesWith
Indicates that two entities intersect or come into contact specifically at their polar regions or endpoints.
-
E.
hasCoordinateSingularity
Indicates that something possesses a point or region where its coordinate description becomes undefined or degenerate, even if the underlying object or space may remain well-behaved.
- 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_69c68826e6a48190a3d220b541e639de |
completed | March 27, 2026, 1:37 p.m. |
| NER | Named-entity recognition | batch_69c6d2e714d4819084c8109c4de7de72 |
completed | March 27, 2026, 6:56 p.m. |
| PD | Predicate disambiguation | batch_69c6d099bf08819089a9f9894d037e74 |
completed | March 27, 2026, 6:46 p.m. |
| PDg | Predicate description generation | batch_69c6d2a8f9188190abbb8c730e7b5edf |
completed | March 27, 2026, 6:55 p.m. |
Created at: March 27, 2026, 2:16 p.m.