Triple
T23234930
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | orthogonal group O(n+1,2) |
E581259
|
entity |
| Predicate | actsConformallyOn |
P70387
|
FINISHED |
| Object | n-dimensional sphere Sⁿ |
—
|
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: n-dimensional sphere Sⁿ | Statement: [orthogonal group O(n+1,2), actsConformallyOn, n-dimensional sphere Sⁿ]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: actsConformallyOn Context triple: [orthogonal group O(n+1,2), actsConformallyOn, n-dimensional sphere Sⁿ]
-
A.
isConformalGroupOf
chosen
Indicates that one entity is the conformal symmetry group associated with another entity, typically preserving angles and the conformal structure of that object or space.
-
B.
worldsheetConformalInvariance
Indicates that a string theory configuration preserves conformal invariance on the worldsheet, meaning the worldsheet dynamics are invariant under local angle-preserving (conformal) transformations.
-
C.
invariantUnder
Indicates that a property, structure, or quantity remains unchanged when a specified transformation or operation is applied.
-
D.
isHolomorphicOn
Indicates that a complex-valued function is complex differentiable at every point of a specified domain, i.e., holomorphic throughout that region.
-
E.
isHolomorphicallyContractible
Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
- 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_69e2460556f88190be1744a84a84173f |
completed | April 17, 2026, 2:39 p.m. |
| NER | Named-entity recognition | batch_69f192e8c7548190b53434eeb2620a6e |
completed | April 29, 2026, 5:11 a.m. |
| PD | Predicate disambiguation | batch_69effcdadec0819092ec1749ee453b4e |
completed | April 28, 2026, 12:18 a.m. |
Created at: April 17, 2026, 4:09 p.m.