Triple
T10991363
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | prime number theorem |
E259759
|
entity |
| Predicate | hasElementaryProof |
P96495
|
FINISHED |
| Object | yes |
—
|
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: yes | Statement: [prime number theorem, hasElementaryProof, yes]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasElementaryProof Context triple: [prime number theorem, hasElementaryProof, yes]
-
A.
hasTheorem
Indicates that one entity (typically a mathematical theory, field, or work) includes, establishes, or is associated with a particular theorem.
-
B.
provedUndecidableUsing
Indicates that the undecidability of one problem, theory, or statement was established by applying or reducing it to another specific method, result, or formal system.
-
C.
partiallyProvenFor
Indicates that something has been shown to hold or be true for part of a domain or set of cases, but not yet for all cases.
-
D.
wasFirstProvedBy
Indicates that a particular statement, theorem, or result was originally and for the first time demonstrated or established as true by a specified agent.
-
E.
statusOfFermatProof
Indicates the current state or condition of the proof related to Fermat’s Last Theorem (e.g., whether it is proposed, verified, refuted, or incomplete).
- 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_69d6aa8a6a548190a750f944ccdc8064 |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d795d1e918819090c71f5a077fa15a |
completed | April 9, 2026, 12:04 p.m. |
| PD | Predicate disambiguation | batch_69d72e93ac648190b46c5d12bf3eb1e9 |
completed | April 9, 2026, 4:44 a.m. |
| PDg | Predicate description generation | batch_69d732242fdc8190be77d1f730a42935 |
completed | April 9, 2026, 4:59 a.m. |
Created at: April 8, 2026, 9:24 p.m.