Triple
T4092241
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lebesgue spaces |
E87728
|
entity |
| Predicate | inequality |
P52976
|
FINISHED |
| Object | Hölder inequality holds in L^p spaces |
—
|
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: Hölder inequality holds in L^p spaces | Statement: [Lebesgue spaces, inequality, Hölder inequality holds in L^p spaces]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: inequality Context triple: [Lebesgue spaces, inequality, Hölder inequality holds in L^p spaces]
-
A.
algebra
Indicates a relationship involving algebraic operations, structures, or properties between mathematical entities.
-
B.
asymmetric
Indicates that the relationship between two entities never holds in both directions simultaneously, so if it holds from A to B it cannot also hold from B to A.
-
C.
inversions
Indicates a relationship where the usual order, position, or hierarchy between elements is reversed or turned upside down.
-
D.
satisfiesTriangleInequality
Indicates that the distances or side lengths among three points or segments obey the triangle inequality, where each length is less than or equal to the sum of the other two.
-
E.
in
Indicates that one entity is located within the spatial, temporal, or conceptual bounds of another 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_69aed94425148190be337845d56fac22 |
completed | March 9, 2026, 2:29 p.m. |
| NER | Named-entity recognition | batch_69aefcae22a081908af65a960306b78c |
completed | March 9, 2026, 5 p.m. |
| PD | Predicate disambiguation | batch_69aef909c9c88190b09d48dad325a83c |
completed | March 9, 2026, 4:44 p.m. |
| PDg | Predicate description generation | batch_69aef9b34dec81909bbc3def9decc71a |
completed | March 9, 2026, 4:47 p.m. |
Created at: March 9, 2026, 3:40 p.m.