Triple
T33320255
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Stiefel–Whitney classes |
E853116
|
entity |
| Predicate | orientabilityCriterion |
P176483
|
FINISHED |
| Object | w_1(E) = 0 if and only if E is orientable |
—
|
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: w_1(E) = 0 if and only if E is orientable | Statement: [Stiefel–Whitney classes, orientabilityCriterion, w_1(E) = 0 if and only if E is orientable]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: orientabilityCriterion Context triple: [Stiefel–Whitney classes, orientabilityCriterion, w_1(E) = 0 if and only if E is orientable]
-
A.
orientationOfCross
Indicates the spatial orientation or alignment of a cross relative to a reference frame or object.
-
B.
hasOrientationReversingIsometries
Indicates that the object or structure admits isometries that reverse orientation, mapping it to itself while flipping its handedness or direction.
-
C.
hasOrientationPreservingOrbifoldNotation
Indicates that one entity is associated with an orbifold notation describing a symmetry that preserves orientation (i.e., does not include reflections or other orientation-reversing operations).
-
D.
orientationInducedBy
Indicates that the orientation of one entity is determined or caused by the orientation or configuration of another entity.
-
E.
orientationType
Indicates the specific kind or category of orientation relationship that exists between entities (such as spatial, directional, or alignment-based orientation).
- F. None of above. chosen
Provenance (4 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_69f349685f088190b8fda44083a018a9 |
completed | April 30, 2026, 12:22 p.m. |
| NER | Named-entity recognition | batch_69f6e3156ea48190b604e414665ef351 |
completed | May 3, 2026, 5:54 a.m. |
| PD | Predicate disambiguation | batch_69f6de0b9ba48190887c9eb5d06a2e94 |
completed | May 3, 2026, 5:32 a.m. |
| PDg | Predicate description generation | batch_69f6e312d7fc819094dec41810f2585d |
completed | May 3, 2026, 5:54 a.m. |
Created at: May 1, 2026, 1:33 a.m.