Triple
T4927200
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Weierstrass approximation theorem |
E110605
|
entity |
| Predicate | topologicalStatement |
P59517
|
FINISHED |
| Object | polynomials are dense in the space of continuous functions on a compact interval |
—
|
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: polynomials are dense in the space of continuous functions on a compact interval | Statement: [Weierstrass approximation theorem, topologicalStatement, polynomials are dense in the space of continuous functions on a compact interval]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: topologicalStatement Context triple: [Weierstrass approximation theorem, topologicalStatement, polynomials are dense in the space of continuous functions on a compact interval]
-
A.
topology
Indicates the structural or spatial arrangement and connectivity pattern among components within a system.
-
B.
typicalTopology
Indicates the usual or most common network or structural arrangement that characterizes how the related entities are organized or interconnected.
-
C.
usesTopology
Indicates that one entity employs, is based on, or operates according to a particular topology defined or provided by another entity.
-
D.
natureOfStatement
Indicates that the statement is being characterized by its type, quality, or logical status (e.g., fact, opinion, assumption, or claim).
-
E.
hasTopology
Indicates that one entity possesses, exhibits, or is characterized by a particular structural or spatial configuration defined by the other entity.
- 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_69bd4415190c8190817bee7ec9f9f944 |
completed | March 20, 2026, 12:56 p.m. |
| NER | Named-entity recognition | batch_69bd70354bd081909291a43439f42ed3 |
completed | March 20, 2026, 4:05 p.m. |
| PD | Predicate disambiguation | batch_69bd6c3695c8819094e7ad2f6d4ba1ac |
completed | March 20, 2026, 3:48 p.m. |
| PDg | Predicate description generation | batch_69bd6d3806f881909c06687e9e57b67f |
completed | March 20, 2026, 3:52 p.m. |
Created at: March 20, 2026, 1:30 p.m.