Triple
T6293566
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Bernoulli numbers |
E141076
|
entity |
| Predicate | zetaRelation |
P70734
|
FINISHED |
| Object | \zeta(1-n) = -B_n/n for n \ge 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: \zeta(1-n) = -B_n/n for n \ge 1 | Statement: [Bernoulli numbers, zetaRelation, \zeta(1-n) = -B_n/n for n \ge 1]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: zetaRelation Context triple: [Bernoulli numbers, zetaRelation, \zeta(1-n) = -B_n/n for n \ge 1]
-
A.
valueRelation
Indicates a comparative or associative relationship between the values or magnitudes of two or more entities.
-
B.
primeNumberTheoremRelation
Indicates the asymptotic relationship between the distribution of prime numbers and the logarithmic growth of integers, as formalized by the prime number theorem.
-
C.
relatedTheorem
Indicates that one theorem is connected to another through a logical, thematic, or derivational relationship.
-
D.
relatedConjecture
Indicates that one conjecture is connected or associated with another conjecture, such as by similarity, dependency, or thematic relation.
-
E.
alpha2Relation
Indicates a secondary or alternative relational link between entities, often representing a second-level or auxiliary association distinct from a primary (alpha1) relation.
- 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_69c008cdf2ac8190bb640c94478fb4ed |
completed | March 22, 2026, 3:20 p.m. |
| NER | Named-entity recognition | batch_69c06438654481908c9833c5f0d61773 |
completed | March 22, 2026, 9:50 p.m. |
| PD | Predicate disambiguation | batch_69c060df0d8881908215575862ef6831 |
completed | March 22, 2026, 9:36 p.m. |
| PDg | Predicate description generation | batch_69c06284848c8190a0151ff3e8682889 |
completed | March 22, 2026, 9:43 p.m. |
Created at: March 22, 2026, 4:27 p.m.