Triple
T25432558
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Liouville function |
E637296
|
entity |
| Predicate | parityInterpretation |
P158497
|
FINISHED |
| Object | λ(n) = -1 if n has an odd total number of prime factors counted with multiplicity |
—
|
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: λ(n) = -1 if n has an odd total number of prime factors counted with multiplicity | Statement: [Liouville function, parityInterpretation, λ(n) = -1 if n has an odd total number of prime factors counted with multiplicity]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: parityInterpretation Context triple: [Liouville function, parityInterpretation, λ(n) = -1 if n has an odd total number of prime factors counted with multiplicity]
-
A.
parityInterpretation
chosen
Indicates that one entity is interpreted or classified in terms of its parity (e.g., as even or odd) relative to another entity or a given parity scheme.
-
B.
parity
Indicates that two quantities share the same evenness or oddness, or more generally that they have equivalent status or value in a given context.
-
C.
parityWith
Indicates that two entities share the same parity, such as both being even or both being odd.
-
D.
disputedInterpretation
Indicates that there is disagreement or contention over how something should be understood, interpreted, or explained.
-
E.
intendedInterpretation
Indicates that one entity is meant to be understood or interpreted in a particular way, sense, or meaning relative to another.
- 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_69e75db58a1c8190891b9ff7c2f8414e |
completed | April 21, 2026, 11:21 a.m. |
| NER | Named-entity recognition | batch_69f5f6dc7d088190b1e4c191172ea256 |
completed | May 2, 2026, 1:06 p.m. |
| PD | Predicate disambiguation | batch_69f4806d93dc8190b9dff4c63186faff |
completed | May 1, 2026, 10:29 a.m. |
Created at: April 21, 2026, 1:58 p.m.