Triple
T24822975
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Krull’s principal ideal theorem |
E621107
|
entity |
| Predicate | proofTechniques |
P27215
|
FINISHED |
| Object | induction on dimension |
—
|
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: induction on dimension | Statement: [Krull’s principal ideal theorem, proofTechniques, induction on dimension]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: proofTechniques Context triple: [Krull’s principal ideal theorem, proofTechniques, induction on dimension]
-
A.
typicalProofUses
chosen
Indicates that a proof characteristically or commonly employs a particular method, technique, or component.
-
B.
proved
Indicates that one entity has demonstrated the truth or validity of another entity (such as a statement, theorem, or claim) through logical or evidential means.
-
C.
provedInFullBy
Indicates that something (such as a claim, theorem, or statement) has been completely and rigorously demonstrated or established by a particular agent or source.
-
D.
theoryUsed
Indicates that one entity applies, relies on, or is based upon a particular theory in its reasoning, explanation, or methodology.
-
E.
hasAlternativeProofMethod
Indicates that there exists a different proof technique or approach that can be used to establish the same result or theorem.
- 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_69f453035f508190be83a3d521723acf |
completed | May 1, 2026, 7:15 a.m. |
| PD | Predicate disambiguation | batch_69f44d6ef33081908f5d36ba1ae5f473 |
completed | May 1, 2026, 6:51 a.m. |
Created at: April 18, 2026, 5:05 a.m.