Triple
T27675029
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hilbert symbol |
E697755
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Hilbert reciprocity law
The Hilbert reciprocity law is a fundamental theorem in number theory that generalizes quadratic reciprocity by relating local norm residue symbols across all completions of a number field, ensuring their product equals one.
|
E1782167
|
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: Hilbert reciprocity law | Statement: [Hilbert symbol, relatedTo, Hilbert reciprocity law]
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: Hilbert reciprocity law Triple: [Hilbert symbol, relatedTo, Hilbert reciprocity law]
Generated description
The Hilbert reciprocity law is a fundamental theorem in number theory that generalizes quadratic reciprocity by relating local norm residue symbols across all completions of a number field, ensuring their product equals one.
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.