Triple
T1859384
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hilbert basis theorem |
E41778
|
entity |
| Predicate | proofTechnique |
P7024
|
FINISHED |
| Object | induction on the number of variables |
—
|
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 the number of variables | Statement: [Hilbert basis theorem, proofTechnique, induction on the number of variables]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: proofTechnique Context triple: [Hilbert basis theorem, proofTechnique, induction on the number of variables]
-
A.
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.
-
B.
typicalProofUses
Indicates that a proof characteristically or commonly employs a particular method, technique, or component.
-
C.
usedInProofStyle
Indicates that one entity is employed as a method, technique, or approach within the proof style or strategy of another entity.
-
D.
hasProofMethod
chosen
Indicates that there exists a specific method or technique used to establish or demonstrate the validity of something (such as a statement, claim, or theorem).
-
E.
induction
Indicates the process by which one entity causes, initiates, or brings about a state, action, or condition in another.
- 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_69a8864a83848190a4ec02721306c511 |
completed | March 4, 2026, 7:21 p.m. |
| NER | Named-entity recognition | batch_69abb231de14819091da3a20ed03c430 |
completed | March 7, 2026, 5:05 a.m. |
| PD | Predicate disambiguation | batch_69abafde4598819099d8229128348fd3 |
completed | March 7, 2026, 4:55 a.m. |
Created at: March 4, 2026, 7:33 p.m.