Triple
T6327872
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | stars and bars method |
E141902
|
entity |
| Predicate | typicalFormula |
P2310
|
FINISHED |
| Object | C(n + k - 1, k - 1) for nonnegative solutions of x1 + ... + xk = 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: C(n + k - 1, k - 1) for nonnegative solutions of x1 + ... + xk = n | Statement: [stars and bars method, typicalFormula, C(n + k - 1, k - 1) for nonnegative solutions of x1 + ... + xk = n]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: typicalFormula Context triple: [stars and bars method, typicalFormula, C(n + k - 1, k - 1) for nonnegative solutions of x1 + ... + xk = n]
-
A.
recitesFormula
Indicates that one entity verbally or mentally repeats a specific formula, such as a set phrase, equation, or ritual wording, typically from memory.
-
B.
formulaUsed
Indicates that a particular formula is employed or applied in performing a calculation, derivation, or reasoning step.
-
C.
typicalForm
Indicates that one entity represents the standard, characteristic, or most common form or shape in which another entity typically appears or is realized.
-
D.
keyFormula
chosen
Indicates that a formula serves as the primary or defining expression associated with an entity or relationship.
-
E.
generalizedForm
Indicates that one entity is a more abstract, generalized version or broader form of another entity.
- 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_69c008d201748190917e69c41ba3f978 |
completed | March 22, 2026, 3:20 p.m. |
| NER | Named-entity recognition | batch_69c064e9532081908277f10ec380a486 |
completed | March 22, 2026, 9:53 p.m. |
| PD | Predicate disambiguation | batch_69c060e7e2d48190af9d004236466788 |
completed | March 22, 2026, 9:36 p.m. |
Created at: March 22, 2026, 4:29 p.m.