Triple
T2815388
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Euler’s totient function φ(n) |
E54269
|
entity |
| Predicate | summatoryIdentity |
P43790
|
FINISHED |
| Object | ∑_{d|n} φ(d) = 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: ∑_{d|n} φ(d) = n | Statement: [Euler’s totient function φ(n), summatoryIdentity, ∑_{d|n} φ(d) = n]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: summatoryIdentity
Context triple: [Euler’s totient function φ(n), summatoryIdentity, ∑_{d|n} φ(d) = n]
-
A.
identityBasis
Indicates that one entity serves as the defining basis, criterion, or foundation for determining the identity of another entity.
-
B.
subjectIdentity
Indicates that two or more references correspond to the same underlying entity or individual identity.
-
C.
hasIdentity
Indicates that one entity is the same as, or is identified as, another specific entity or identifier.
-
D.
identifierFor
Indicates that one entity serves as a unique identifying label or code for another entity.
-
E.
selfIdentification
Indicates that an entity defines or declares its own identity, attributes, or classification about itself.
- 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_69ab49de0af08190b3da69683be1e728 |
completed | March 6, 2026, 9:40 p.m. |
| NER | Named-entity recognition | batch_69abde4d29488190a32461906dd9ea7e |
completed | March 7, 2026, 8:14 a.m. |
| PD | Predicate disambiguation | batch_69abdd0740208190911dc9c9546a79ae |
completed | March 7, 2026, 8:08 a.m. |
| PDg | Predicate description generation | batch_69abde0f4c648190b9812e64f30c39da |
completed | March 7, 2026, 8:13 a.m. |
Created at: March 6, 2026, 9:59 p.m.