Triple
T36468743
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Möbius transformation |
E898486
|
entity |
| Predicate | matrixEquivalenceRelation |
P102508
|
FINISHED |
| Object | scalar multiples represent same transformation |
—
|
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: scalar multiples represent same transformation | Statement: [Möbius transformation, matrixEquivalenceRelation, scalar multiples represent same transformation]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: matrixEquivalenceRelation Context triple: [Möbius transformation, matrixEquivalenceRelation, scalar multiples represent same transformation]
-
A.
hasEquivalenceRelation
Indicates that there exists an equivalence relation between the entities, meaning they are related in a way that is reflexive, symmetric, and transitive.
-
B.
isConformallyRelatedTo
Indicates that one entity can be transformed into the other by a conformal (angle-preserving) mapping, preserving local shapes but not necessarily sizes or distances.
-
C.
isSymmetrizationOf
Indicates that one object or structure is the result of transforming another into a symmetric form, typically by averaging or otherwise enforcing symmetry with respect to some operation or group.
-
D.
linearlyEquivalentIf
Indicates that one entity is linearly equivalent to another if a specified condition or set of conditions holds.
-
E.
isUniqueUpToScaling
chosen
Indicates that one object is determined uniquely except for multiplication by a nonzero scalar factor.
- 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_69f76e58ebd88190b75d9b169b59d793 |
completed | May 3, 2026, 3:48 p.m. |
| NER | Named-entity recognition | batch_69f7c777e924819081a6634f549fe552 |
completed | May 3, 2026, 10:08 p.m. |
| PD | Predicate disambiguation | batch_69f7c477a4d481908f52e55b6688f60c |
completed | May 3, 2026, 9:56 p.m. |
Created at: May 3, 2026, 4:10 p.m.