Triple
T209680
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | binomial theorem |
E4686
|
entity |
| Predicate | impliesIdentity |
P1661
|
FINISHED |
| Object | Σ_{k=0}^n C(n,k) = 2^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: Σ_{k=0}^n C(n,k) = 2^n | Statement: [binomial theorem, impliesIdentity, Σ_{k=0}^n C(n,k) = 2^n]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: impliesIdentity
Context triple: [binomial theorem, impliesIdentity, Σ_{k=0}^n C(n,k) = 2^n]
-
A.
implies
chosen
Indicates that the truth of one statement guarantees or leads logically to the truth of another statement.
-
B.
hasIdentity
Indicates that one entity is the same as, or is identified as, another specific entity or identifier.
-
C.
equivalentTo
Indicates that two entities represent the same concept, value, or state, and can be treated as interchangeable in the given context.
-
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.
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_69a25737567c81908f9c505300239181 |
completed | Feb. 28, 2026, 2:47 a.m. |
| NER | Named-entity recognition | batch_69a25e8b9b908190b69a3f0594b95f7e |
completed | Feb. 28, 2026, 3:18 a.m. |
| PD | Predicate disambiguation | batch_69a25b4e3c2881908d83e8218aa9f2d9 |
completed | Feb. 28, 2026, 3:04 a.m. |
Created at: Feb. 28, 2026, 2:51 a.m.