Triple
T12597041
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet series |
E300759
|
entity |
| Predicate | satisfiesInequality |
P105609
|
FINISHED |
| Object | σ_c ≤ σ_u ≤ σ_a |
—
|
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: σ_c ≤ σ_u ≤ σ_a | Statement: [Dirichlet series, satisfiesInequality, σ_c ≤ σ_u ≤ σ_a]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: satisfiesInequality Context triple: [Dirichlet series, satisfiesInequality, σ_c ≤ σ_u ≤ σ_a]
-
A.
inequality
Indicates that there is a difference or lack of equality in status, rights, opportunities, or treatment between entities.
-
B.
satisfiesTriangleInequality
Indicates that the distances or side lengths among three points or segments obey the triangle inequality, where each length is less than or equal to the sum of the other two.
-
C.
isSolutionOf
Indicates that one entity is a correct answer or satisfies the conditions of a given problem, equation, or task.
-
D.
equalityCondition
Indicates that two values, expressions, or attributes must be exactly the same for the condition to be satisfied.
-
E.
variesLessThan
Indicates that the degree or amount of change in one quantity is smaller than the degree or amount of change in another quantity.
- 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_69d7bdea2ca881908f379526c13b1145 |
completed | April 9, 2026, 2:55 p.m. |
| NER | Named-entity recognition | batch_69d954e6e20481908bca684c4b497c48 |
completed | April 10, 2026, 7:52 p.m. |
| PD | Predicate disambiguation | batch_69d95416cbd88190b2c65196162349bc |
completed | April 10, 2026, 7:48 p.m. |
| PDg | Predicate description generation | batch_69d954e351f88190869220d46e0ce282 |
completed | April 10, 2026, 7:52 p.m. |
Created at: April 9, 2026, 5:08 p.m.