Triple
T36876593
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Godbillon–Vey invariant |
E911357
|
entity |
| Predicate | isHomotopyInvariant |
P185539
|
FINISHED |
| Object | for foliations under suitable conditions |
—
|
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: for foliations under suitable conditions | Statement: [Godbillon–Vey invariant, isHomotopyInvariant, for foliations under suitable conditions]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isHomotopyInvariant Context triple: [Godbillon–Vey invariant, isHomotopyInvariant, for foliations under suitable conditions]
-
A.
homotopyType
Indicates that two topological spaces or maps share the same homotopy type, meaning they can be continuously deformed into one another up to homotopy.
-
B.
hasHomotopyGroup
Indicates that one topological space has a specified homotopy group (of a given degree) related to its structure of continuous deformations.
-
C.
hasHopfInvariant
Indicates that a given continuous map between spheres (or related topological spaces) has a specified Hopf invariant, measuring a secondary linking or twisting property of the map.
-
D.
topologicalInvariance
chosen
Indicates that a property or relation remains unchanged under continuous deformations (homeomorphisms) of the underlying topological space.
-
E.
homeomorphicTo
Indicates that two topological spaces can be continuously deformed into each other via a bijective, continuous map with a continuous inverse, preserving their topological structure.
- 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_69f76e82339881909607a65c0503d941 |
completed | May 3, 2026, 3:49 p.m. |
| NER | Named-entity recognition | batch_69f9fd6834cc8190aa27153d6a99f3bb |
completed | May 5, 2026, 2:23 p.m. |
| PD | Predicate disambiguation | batch_69f7cf7890008190a8bc355ff2d61c86 |
completed | May 3, 2026, 10:43 p.m. |
Created at: May 3, 2026, 4:13 p.m.