Triple
T21046976
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | orthogonal group O(n) |
E518473
|
entity |
| Predicate | isDefinedByEquation |
P97265
|
FINISHED |
| Object | A^T A = I_n |
—
|
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: A^T A = I_n | Statement: [orthogonal group O(n), isDefinedByEquation, A^T A = I_n]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isDefinedByEquation Context triple: [orthogonal group O(n), isDefinedByEquation, A^T A = I_n]
-
A.
hasEquationForm
chosen
Indicates that one entity is expressed or represented in the form of a specific equation.
-
B.
isSolutionOf
Indicates that one entity is a correct answer or satisfies the conditions of a given problem, equation, or task.
-
C.
hasEquationSide
Indicates a relationship where a particular expression or term belongs to a specific side (e.g., left or right) of an equation.
-
D.
hasEquationOfMotion
Indicates that one entity specifies or is associated with the equation of motion governing the dynamical behavior of another entity.
-
E.
supportsEquations
Indicates that one entity provides the capability to handle, display, or work with mathematical equations for another entity or within a given context.
- 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_69e0b50438e08190917e2538bb8bc034 |
completed | April 16, 2026, 10:08 a.m. |
| NER | Named-entity recognition | batch_69e6fcf4d26481908b639996500a8319 |
completed | April 21, 2026, 4:28 a.m. |
| PD | Predicate disambiguation | batch_69e5dbf6728881908a2a43a5c8804a2a |
completed | April 20, 2026, 7:55 a.m. |
Created at: April 16, 2026, 2:34 p.m.