Triple
T24822950
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Krull’s principal ideal theorem |
E621107
|
entity |
| Predicate | givesBound |
P96513
|
FINISHED |
| Object | height of prime ideals minimal over a principal ideal |
—
|
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: height of prime ideals minimal over a principal ideal | Statement: [Krull’s principal ideal theorem, givesBound, height of prime ideals minimal over a principal ideal]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: givesBound Context triple: [Krull’s principal ideal theorem, givesBound, height of prime ideals minimal over a principal ideal]
-
A.
givesBoundOn
chosen
Indicates that one quantity provides an upper or lower limit (a bound) on the value or behavior of another quantity.
-
B.
areBoundFrom
Indicates that one entity is constrained, limited, or restricted starting from a specified point, source, or condition.
-
C.
typicalBoundForm
Indicates that one entity is the standard or characteristic bound form in which another entity typically occurs or is represented.
-
D.
mayBeBoundBy
Indicates that one entity is potentially subject to being constrained, restricted, or obligated by another entity (such as a rule, agreement, or condition), without asserting that this binding actually occurs.
-
E.
dimensionBoundType
Indicates the type or nature of the constraint that bounds a given dimension in a relationship.
- 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_69e2fabfd4648190bd0e5c7f4dbb6cab |
completed | April 18, 2026, 3:30 a.m. |
| NER | Named-entity recognition | batch_69f42d9000b8819081ea2605f3c193d6 |
completed | May 1, 2026, 4:35 a.m. |
| PD | Predicate disambiguation | batch_69f420f471a0819095a6cd24ed8f7476 |
completed | May 1, 2026, 3:41 a.m. |
Created at: April 18, 2026, 5:05 a.m.