Triple
T10991364
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | prime number theorem |
E259759
|
entity |
| Predicate | elementaryProofBy |
P21917
|
FINISHED |
| Object | Atle Selberg |
E49639
|
NE FINISHED |
How this triple was built (3 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: Atle Selberg | Statement: [prime number theorem, elementaryProofBy, Atle Selberg]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Atle Selberg Context triple: [prime number theorem, elementaryProofBy, Atle Selberg]
-
A.
Atle Selberg
chosen
Atle Selberg was a Norwegian mathematician renowned for his profound contributions to analytic number theory, particularly the Selberg trace formula and work related to the Riemann zeta function.
-
B.
Harald Cramér
Harald Cramér was a Swedish mathematician and statistician renowned for his foundational contributions to probability theory and mathematical statistics.
-
C.
Frigyes Reiner
Frigyes Reiner was a renowned 20th-century Hungarian-American conductor celebrated for his precise technique and influential leadership of major orchestras, especially the Chicago Symphony Orchestra.
-
D.
Rolf Nevanlinna
Rolf Nevanlinna was a Finnish mathematician best known for founding value distribution theory (Nevanlinna theory) in complex analysis.
-
E.
Edmund Landau
Edmund Landau was a prominent German mathematician known for his foundational work in analytic number theory and the rigorous development of mathematical analysis.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: elementaryProofBy Context triple: [prime number theorem, elementaryProofBy, Atle Selberg]
-
A.
partialProofBy
Indicates that one entity serves as an incomplete or intermediate proof contributing toward the full proof of another entity.
-
B.
typicalProofUses
Indicates that a proof characteristically or commonly employs a particular method, technique, or component.
-
C.
lemma
Indicates that one entity is the canonical dictionary form (lemma) from which the other entity’s inflected or derived forms originate.
-
D.
proved
chosen
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.
-
E.
usedInProofStyle
Indicates that one entity is employed as a method, technique, or approach within the proof style or strategy of another entity.
- F. None of above.
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. |
| NED1 | Entity disambiguation (via context triple) | batch_69e34504ebec8190a78e4795765b0c24 |
completed | April 18, 2026, 8:47 a.m. |
| PD | Predicate disambiguation | batch_69d72e93ac648190b46c5d12bf3eb1e9 |
completed | April 9, 2026, 4:44 a.m. |
Created at: April 8, 2026, 9:24 p.m.