Triple
T7871967
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Jacobi’s four-square theorem |
E182757
|
entity |
| Predicate | counts |
P42152
|
FINISHED |
| Object | ordered representations of n as x^2 + y^2 + z^2 + t^2 with integer variables |
—
|
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: ordered representations of n as x^2 + y^2 + z^2 + t^2 with integer variables | Statement: [Jacobi’s four-square theorem, counts, ordered representations of n as x^2 + y^2 + z^2 + t^2 with integer variables]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: counts Context triple: [Jacobi’s four-square theorem, counts, ordered representations of n as x^2 + y^2 + z^2 + t^2 with integer variables]
-
A.
count
Indicates the numerical quantity or total number of instances of a specified entity or event.
-
B.
numberOfCounts
chosen
Indicates the total quantity or tally of discrete occurrences, items, or instances associated with an entity or event.
-
C.
bookmarkCount
Indicates the number of times an item has been bookmarked by users.
-
D.
areCountedBy
Indicates that one entity serves as the counting mechanism, record, or process by which the quantity of another entity is determined.
-
E.
titleCount
Indicates the number of distinct titles associated with an entity within a given context.
- 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_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. |
Created at: March 30, 2026, 4:56 p.m.