Triple
T4927391
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Weierstrass substitution |
E110609
|
entity |
| Predicate | worksBy |
P59519
|
FINISHED |
| Object | expressing sine and cosine as rational functions of tan(x/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: expressing sine and cosine as rational functions of tan(x/2) | Statement: [Weierstrass substitution, worksBy, expressing sine and cosine as rational functions of tan(x/2)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: worksBy Context triple: [Weierstrass substitution, worksBy, expressing sine and cosine as rational functions of tan(x/2)]
-
A.
performsWorksBy
Indicates that an agent executes, interprets, or presents works that were created or authored by another entity.
-
B.
workOfAuthorOf
Indicates that one entity is a work (such as a book, article, or artwork) created by the author associated with another entity.
-
C.
worksCollectedBy
Indicates that one entity gathers, compiles, or curates the works (such as creations, publications, or outputs) produced by another entity.
-
D.
workBy
Indicates that a work (such as a creation, product, or result) is produced, authored, or created by a particular agent or entity.
-
E.
notableWorkAuthor
Indicates that one entity is the creator or author of a notable work associated with another entity.
- 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_69bd4415190c8190817bee7ec9f9f944 |
completed | March 20, 2026, 12:56 p.m. |
| NER | Named-entity recognition | batch_69bd7036d8e88190bc4be2975160da23 |
completed | March 20, 2026, 4:05 p.m. |
| PD | Predicate disambiguation | batch_69bd6c3695c8819094e7ad2f6d4ba1ac |
completed | March 20, 2026, 3:48 p.m. |
| PDg | Predicate description generation | batch_69bd6d3806f881909c06687e9e57b67f |
completed | March 20, 2026, 3:52 p.m. |
Created at: March 20, 2026, 1:30 p.m.