Triple
T10991327
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Montgomery's pair correlation conjecture |
E259758
|
entity |
| Predicate | hasMathematicalExpression |
P12675
|
FINISHED |
| Object | pair correlation function R_2(x) = 1 - (sin(πx)/(πx))^2 for the scaled zeros |
—
|
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: pair correlation function R_2(x) = 1 - (sin(πx)/(πx))^2 for the scaled zeros | Statement: [Montgomery's pair correlation conjecture, hasMathematicalExpression, pair correlation function R_2(x) = 1 - (sin(πx)/(πx))^2 for the scaled zeros]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasMathematicalExpression Context triple: [Montgomery's pair correlation conjecture, hasMathematicalExpression, pair correlation function R_2(x) = 1 - (sin(πx)/(πx))^2 for the scaled zeros]
-
A.
mathematicallyExpressedBy
chosen
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
B.
hasMathematicalProperty
Indicates that one entity possesses or exhibits a specific mathematical property or characteristic.
-
C.
mathematicallyUses
Indicates that one entity employs or applies another entity within a mathematical context, such as in a formula, proof, computation, or theoretical framework.
-
D.
hasExpression
Indicates that an entity displays or possesses a particular facial or emotional expression.
-
E.
mathematicallyFormulatedIn
Indicates that something is expressed, defined, or represented using mathematical formulas, equations, or formal mathematical structures within a given context.
- 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_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. |
Created at: April 8, 2026, 9:24 p.m.