Triple
T27675184
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Sturm–Liouville problem |
E697758
|
entity |
| Predicate | hasKeyTheorem |
P72923
|
FINISHED |
| Object |
Sturm separation theorem
The Sturm separation theorem is a fundamental result in the theory of second-order linear differential equations stating that the zeros of two linearly independent solutions interlace on any interval where the equation is regular.
|
E1782170
|
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: Sturm separation theorem | Statement: [Sturm–Liouville problem, hasKeyTheorem, Sturm separation theorem]
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: Sturm separation theorem Triple: [Sturm–Liouville problem, hasKeyTheorem, Sturm separation theorem]
Generated description
The Sturm separation theorem is a fundamental result in the theory of second-order linear differential equations stating that the zeros of two linearly independent solutions interlace on any interval where the equation is regular.
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_69ef590d458c81909583290c3cd0478b |
completed | April 27, 2026, 12:39 p.m. |
| NER | Named-entity recognition | batch_69f63532e35881909bfe0a8a315e2efe |
completed | May 2, 2026, 5:32 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a12daaa22c48190b3f05cc780d85fcf |
completed | May 24, 2026, 11:02 a.m. |
| NEDg | Description generation | batch_6a12db425798819097c2f19d2aa6baaa |
completed | May 24, 2026, 11:04 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a12dbac16bc8190aa2c654274fbcb3b |
completed | May 24, 2026, 11:06 a.m. |
Created at: April 27, 2026, 2:43 p.m.