Triple
T19050666
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet eta function |
E466247
|
entity |
| Predicate | relationToPolylogarithm |
P134883
|
FINISHED |
| Object | η(s) = (1 - 2^{1-s}) Li_s(1) |
—
|
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: η(s) = (1 - 2^{1-s}) Li_s(1) | Statement: [Dirichlet eta function, relationToPolylogarithm, η(s) = (1 - 2^{1-s}) Li_s(1)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: relationToPolylogarithm
Context triple: [Dirichlet eta function, relationToPolylogarithm, η(s) = (1 - 2^{1-s}) Li_s(1)]
-
A.
zetaRelation
Indicates a specialized, context-dependent association between entities whose exact nature is defined by the specific system or theory using the term "zetaRelation".
-
B.
relationToDivisorFunction
Indicates a relationship where one entity is connected to another through the mathematical divisor function (which maps a number to a value derived from its divisors).
-
C.
hasLogarithmicDerivative
Indicates that one quantity is the logarithmic derivative of another, i.e., it represents the derivative of the logarithm of a function (or equivalently the derivative of the function divided by the function itself).
-
D.
VoroninUniversality
Indicates that a function or object exhibits Voronin universality, meaning its values approximate those of a wide class of analytic functions arbitrarily well on certain domains.
-
E.
primeNumberTheoremRelation
Indicates the asymptotic relationship between the distribution of prime numbers and the logarithmic growth of integers, as formalized by the prime number theorem.
- 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_69d8dd040fb881909af2a964f65ad208 |
completed | April 10, 2026, 11:20 a.m. |
| NER | Named-entity recognition | batch_69e5dc02597c8190b39fd2c7b7e42258 |
completed | April 20, 2026, 7:55 a.m. |
| PD | Predicate disambiguation | batch_69e4b99633c8819097988608c278ecf8 |
completed | April 19, 2026, 11:16 a.m. |
| PDg | Predicate description generation | batch_69e4c0fc3c4c8190abbfe06e1bd3325c |
completed | April 19, 2026, 11:48 a.m. |
Created at: April 10, 2026, 12:03 p.m.