Triple
T2652929
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Whitney approximation theorem |
E53941
|
entity |
| Predicate | strongVersionStates |
P33798
|
FINISHED |
| Object | a continuous map can be approximated by a smooth map that agrees with it on a closed subset where it is already smooth |
—
|
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: a continuous map can be approximated by a smooth map that agrees with it on a closed subset where it is already smooth | Statement: [Whitney approximation theorem, strongVersionStates, a continuous map can be approximated by a smooth map that agrees with it on a closed subset where it is already smooth]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: strongVersionStates Context triple: [Whitney approximation theorem, strongVersionStates, a continuous map can be approximated by a smooth map that agrees with it on a closed subset where it is already smooth]
-
A.
strongVersionClaims
chosen
Indicates that one version of something asserts or maintains a stronger or more definitive claim than another version.
-
B.
strengthenedStatusOf
Indicates that the status, condition, or standing of one entity has been made stronger or more robust in relation to another entity or context.
-
C.
weakVersionClaims
Indicates that one entity asserts a less strict, weaker, or more limited version of a claim made by 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.
hasVersionIn
Indicates that one entity exists as a specific version or variant within the context, format, or system represented by 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.