Triple
T22328570
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fubini–Study form |
E551964
|
entity |
| Predicate | isPullbackOf |
P28978
|
FINISHED |
| Object | standard symplectic form on C^{n+1}\{0} via Hopf fibration (up to normalization) |
—
|
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: standard symplectic form on C^{n+1}\{0} via Hopf fibration (up to normalization) | Statement: [Fubini–Study form, isPullbackOf, standard symplectic form on C^{n+1}\{0} via Hopf fibration (up to normalization)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isPullbackOf
Context triple: [Fubini–Study form, isPullbackOf, standard symplectic form on C^{n+1}\{0} via Hopf fibration (up to normalization)]
-
A.
isInverseOf
Indicates that one relation reverses the direction of another, so that if the original relates A to B, its inverse relates B to A.
-
B.
isBirationalTo
Indicates that there exists a birational map between two algebraic varieties, meaning they are isomorphic outside lower-dimensional subsets and share the same function field.
-
C.
isBackboneOf
Indicates that one entity forms the main supporting structure or central framework upon which another entity fundamentally depends.
-
D.
inverseImage
chosen
Indicates the mapping from a set of outputs back to all inputs that are related to those outputs under a given function or relation.
-
E.
isParallelWithRespectTo
Indicates that two or more entities maintain a constant separation and never intersect within a specified reference or coordinate system.
- 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_69e11e482f788190b78d1588fc26d606 |
completed | April 16, 2026, 5:37 p.m. |
| NER | Named-entity recognition | batch_69f15769fdb48190b84e0c019ab63579 |
completed | April 29, 2026, 12:57 a.m. |
| PD | Predicate disambiguation | batch_69e73004d9e88190bb862319a5aea06b |
completed | April 21, 2026, 8:06 a.m. |
Created at: April 16, 2026, 8:43 p.m.