Triple
T14334402
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Ramanujan tau function |
E355432
|
entity |
| Predicate | eigenformProperty |
P79476
|
FINISHED |
| Object | Hecke eigenvalues equal τ(n) |
—
|
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: Hecke eigenvalues equal τ(n) | Statement: [Ramanujan tau function, eigenformProperty, Hecke eigenvalues equal τ(n)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: eigenformProperty Context triple: [Ramanujan tau function, eigenformProperty, Hecke eigenvalues equal τ(n)]
-
A.
areEigenfunctionsOf
chosen
Indicates that certain functions serve as eigenfunctions corresponding to a specified operator or transformation.
-
B.
isMassEigenstateOf
Indicates that one entity is a quantum state with a definite mass that results from diagonalizing the mass operator (or mass matrix) associated with the other entity.
-
C.
hasConjugateFundamentalRepresentation
Indicates that one entity serves as the conjugate (dual) of the fundamental representation associated with another entity.
-
D.
isGaloisEquivariant
Indicates that a map or structure is compatible with a given Galois group action, i.e., it commutes with the action of all Galois automorphisms.
-
E.
isFlavorEigenstateOf
Indicates that one particle state is a flavor eigenstate corresponding to a particular interaction or mass basis of another particle or system.
- 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.