Triple
T1489736
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gauss’s lemma (number theory) |
E29548
|
entity |
| Predicate | oftenFormulatedWith |
P3100
|
FINISHED |
| Object | interval (−p/2,p/2] for representatives modulo p |
—
|
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: interval (−p/2,p/2] for representatives modulo p | Statement: [Gauss’s lemma (number theory), oftenFormulatedWith, interval (−p/2,p/2] for representatives modulo p]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: oftenFormulatedWith Context triple: [Gauss’s lemma (number theory), oftenFormulatedWith, interval (−p/2,p/2] for representatives modulo p]
-
A.
oftenFormulatedOn
Indicates that something (such as a statement, plan, or decision) is frequently based on, derived from, or constructed using another thing as its foundation or starting point.
-
B.
formulatedIn
Indicates that something was created, developed, or expressed within a particular context, place, or framework.
-
C.
hasFormulation
Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by another entity.
-
D.
usedWith
Indicates that one entity is typically or appropriately employed together with another entity in a combined or complementary use.
-
E.
oftenAccompaniedBy
chosen
Indicates that one entity is frequently found together with, occurs alongside, or is commonly associated in presence or use with another entity.
- 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_69a498da82e08190ba833330d05f380f |
completed | March 1, 2026, 7:51 p.m. |
| NER | Named-entity recognition | batch_69a4c6c233ec819087e1233af02aabfc |
completed | March 1, 2026, 11:07 p.m. |
| PD | Predicate disambiguation | batch_69a4c48902808190a8028d359bcf123e |
completed | March 1, 2026, 10:58 p.m. |
Created at: March 1, 2026, 8:12 p.m.