Triple
T22964768
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Sylvester sequence |
E571006
|
entity |
| Predicate | hasClosedFormLikeRelation |
P97265
|
FINISHED |
| Object | a_{n+1} - 1 = \prod_{k=1}^{n} a_k |
—
|
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: a_{n+1} - 1 = \prod_{k=1}^{n} a_k | Statement: [Sylvester sequence, hasClosedFormLikeRelation, a_{n+1} - 1 = \prod_{k=1}^{n} a_k]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasClosedFormLikeRelation
Context triple: [Sylvester sequence, hasClosedFormLikeRelation, a_{n+1} - 1 = \prod_{k=1}^{n} a_k]
-
A.
hasClosedForm
Indicates that a mathematical expression, function, or solution can be written in a finite, explicit form using a standard set of operations and well-known functions.
-
B.
hasSymbolicForm
Indicates that one entity serves as the symbolic representation or abstract form of another entity.
-
C.
hasEquivalentFormulation
Indicates that two representations, statements, or formulations express the same underlying meaning, condition, or effect, even if they differ in form.
-
D.
hasEquationForm
chosen
Indicates that one entity is expressed or represented in the form of a specific equation.
-
E.
hasCanonicalFormulation
Indicates that one entity is the standard or officially accepted formulation or expression 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_69e245b212a88190b5259caf51606084 |
completed | April 17, 2026, 2:37 p.m. |
| NER | Named-entity recognition | batch_69f181f763688190aab8f444a1a71577 |
completed | April 29, 2026, 3:58 a.m. |
| PD | Predicate disambiguation | batch_69ef3b9101f48190a06c69dff26c6441 |
completed | April 27, 2026, 10:33 a.m. |
Created at: April 17, 2026, 3:47 p.m.