Triple
T7871648
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Jacobi triple product |
E182749
|
entity |
| Predicate | hasInfiniteSumSide |
P79474
|
FINISHED |
| Object | ∑_{n=-∞}^{∞} z^{n} q^{n^{2}} |
—
|
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: ∑_{n=-∞}^{∞} z^{n} q^{n^{2}} | Statement: [Jacobi triple product, hasInfiniteSumSide, ∑_{n=-∞}^{∞} z^{n} q^{n^{2}}]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasInfiniteSumSide
Context triple: [Jacobi triple product, hasInfiniteSumSide, ∑_{n=-∞}^{∞} z^{n} q^{n^{2}}]
-
A.
isInfinite
Indicates that something has no finite limit, bound, or endpoint in size, extent, or duration.
-
B.
canBeInfinite
Indicates that something has the potential to be unbounded in size, duration, or extent rather than remaining finite.
-
C.
hasSummitOnSideOf
Indicates that the summit or highest point of one geographic feature is located on the side of another feature.
-
D.
hasFiniteSupport
Indicates that a function, relation, or structure is nonzero or nontrivial at only finitely many elements of its domain.
-
E.
finiteAt
Indicates that a function, quantity, or value remains finite (not infinite or undefined) at a specified point or under a given condition.
- 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_69ca82894d9081908a832bfce71a4714 |
completed | March 30, 2026, 2:02 p.m. |
| NER | Named-entity recognition | batch_69cb39a5950481908399211c5dfe2569 |
completed | March 31, 2026, 3:04 a.m. |
| PD | Predicate disambiguation | batch_69cae928e1b88190b0620f4c4f03bc7d |
completed | March 30, 2026, 9:20 p.m. |
| PDg | Predicate description generation | batch_69caf786ec748190b6347b0c94335550 |
completed | March 30, 2026, 10:21 p.m. |
Created at: March 30, 2026, 4:56 p.m.