Triple
T14334738
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Ramanujan’s sum |
E355439
|
entity |
| Predicate | orthogonalityRelation |
P76852
|
FINISHED |
| Object | sum_{n mod q} c_q(n) = 0 for q > 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: sum_{n mod q} c_q(n) = 0 for q > 1 | Statement: [Ramanujan’s sum, orthogonalityRelation, sum_{n mod q} c_q(n) = 0 for q > 1]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: orthogonalityRelation
Context triple: [Ramanujan’s sum, orthogonalityRelation, sum_{n mod q} c_q(n) = 0 for q > 1]
-
A.
orthonormalityRelation
Indicates that a set of vectors are mutually orthogonal and each has unit length with respect to a given inner product.
-
B.
orthogonalityProperty
chosen
Indicates that one entity possesses the property of being orthogonal (i.e., at right angles or having zero inner product) with respect to another entity or a given reference.
-
C.
zetaRelation
Indicates a specialized, context-dependent association between entities whose exact nature is defined by the specific system or theory using the term "zetaRelation".
-
D.
isParallelWithRespectTo
Indicates that two or more entities maintain a constant separation and never intersect within a specified reference or coordinate system.
-
E.
valueRelation
Indicates a comparative or associative relationship between the values or magnitudes of two or more entities.
- 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_69d8278fa2108190bc0d0e7939c1eb03 |
completed | April 9, 2026, 10:26 p.m. |
| NER | Named-entity recognition | batch_69de8c20d2148190bb534bef338e871d |
completed | April 14, 2026, 6:49 p.m. |
| PD | Predicate disambiguation | batch_69de2a9515f4819081aabf251bca5878 |
completed | April 14, 2026, 11:52 a.m. |
Created at: April 10, 2026, 1:13 a.m.