Triple
T2652931
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Whitney approximation theorem |
E53941
|
entity |
| Predicate | weakVersionStates |
P33797
|
FINISHED |
| Object | every continuous map between smooth manifolds can be uniformly approximated by smooth maps |
—
|
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: every continuous map between smooth manifolds can be uniformly approximated by smooth maps | Statement: [Whitney approximation theorem, weakVersionStates, every continuous map between smooth manifolds can be uniformly approximated by smooth maps]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: weakVersionStates Context triple: [Whitney approximation theorem, weakVersionStates, every continuous map between smooth manifolds can be uniformly approximated by smooth maps]
-
A.
weakVersionClaims
chosen
Indicates that one entity asserts a less strict, weaker, or more limited version of a claim made by another entity.
-
B.
strongVersionClaims
Indicates that one version of something asserts or maintains a stronger or more definitive claim than another version.
-
C.
weakerThan
Indicates that one entity has less strength, power, or effectiveness than another entity.
-
D.
principalVersionFor
Indicates a relationship where one version of an entity is designated as the primary or authoritative version for another related entity.
-
E.
poweredVersionOf
Indicates that one entity is a more powerful, enhanced, or upgraded version of another entity.
- 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_69ab495e192081909c77b622e8e7e15a |
completed | March 6, 2026, 9:38 p.m. |
| NER | Named-entity recognition | batch_69abda0ba2208190ad87763ecbef8c3c |
completed | March 7, 2026, 7:55 a.m. |
| PD | Predicate disambiguation | batch_69abd815d06481909535c02b0aba8553 |
completed | March 7, 2026, 7:47 a.m. |
Created at: March 6, 2026, 9:53 p.m.