Triple
T7705271
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | SO(3) |
E174596
|
entity |
| Predicate | fundamentalGroup |
P78388
|
FINISHED |
| Object | ℤ₂ |
—
|
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: ℤ₂ | Statement: [SO(3), fundamentalGroup, ℤ₂]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: fundamentalGroup Context triple: [SO(3), fundamentalGroup, ℤ₂]
-
A.
fundamentalDomain
Indicates that one entity is a fundamental domain for the action of another (such as a group or transformation), meaning it is a minimal region whose images under that action cover the entire space without overlapping interiors.
-
B.
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.
-
C.
EulerCharacteristic
Indicates the topological invariant of a space that equals, in a suitable decomposition, the alternating sum of the counts of its cells (e.g., vertices − edges + faces).
-
D.
hasFundamentalDomain
Indicates that a mathematical object (such as a group action or tiling) is associated with a fundamental domain that represents a minimal region whose copies under the given symmetries cover the entire space without overlaps.
-
E.
isSimplyConnected
Indicates that a topological space has no "holes," meaning every loop within it can be continuously contracted to a single point.
- 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_69c6995b3e8c8190833108f883d5f53c |
completed | March 27, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69c70402169481909b219dc5f4a64b9b |
completed | March 27, 2026, 10:26 p.m. |
| PD | Predicate disambiguation | batch_69c70165e78c8190bf6b3c34e243cb81 |
completed | March 27, 2026, 10:15 p.m. |
| PDg | Predicate description generation | batch_69c7040091608190a9e46ecfb2ff0bca |
completed | March 27, 2026, 10:26 p.m. |
Created at: March 27, 2026, 4:03 p.m.