Triple
T27748572
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Jacobi's theorem on determinants |
E702054
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Laplace expansion of determinants
The Laplace expansion of determinants is a classical method in linear algebra for computing the determinant of a matrix by recursively expanding it along a row or column using minors and cofactors.
|
E1786974
|
NE 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: Laplace expansion of determinants | Statement: [Jacobi's theorem on determinants, relatedTo, Laplace expansion of determinants]
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Laplace expansion of determinants Triple: [Jacobi's theorem on determinants, relatedTo, Laplace expansion of determinants]
Generated description
The Laplace expansion of determinants is a classical method in linear algebra for computing the determinant of a matrix by recursively expanding it along a row or column using minors and cofactors.
Provenance (5 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_69ef6a53c7388190899baa6daf42301c |
completed | April 27, 2026, 1:53 p.m. |
| NER | Named-entity recognition | batch_69f6371c6454819099f05f09d60a374c |
completed | May 2, 2026, 5:40 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a12e47db99081909b438955637aa296 |
completed | May 24, 2026, 11:43 a.m. |
| NEDg | Description generation | batch_6a12e5970df88190923224d331fcb41d |
completed | May 24, 2026, 11:48 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a12e6cfffd4819098e7fc01a09f2a7c |
completed | May 24, 2026, 11:53 a.m. |
Created at: April 27, 2026, 4:18 p.m.