Triple
T26254966
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | PSL(2,ℤ/Nℤ) |
E656691
|
entity |
| Predicate | hasOrderFormula |
P1109
|
FINISHED |
| Object | |PSL(2,ℤ/pℤ)| = p(p²−1)/gcd(2,p−1) for prime 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: |PSL(2,ℤ/pℤ)| = p(p²−1)/gcd(2,p−1) for prime p | Statement: [PSL(2,ℤ/Nℤ), hasOrderFormula, |PSL(2,ℤ/pℤ)| = p(p²−1)/gcd(2,p−1) for prime p]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasOrderFormula Context triple: [PSL(2,ℤ/Nℤ), hasOrderFormula, |PSL(2,ℤ/pℤ)| = p(p²−1)/gcd(2,p−1) for prime p]
-
A.
hasOrder
chosen
Indicates that one entity possesses, is associated with, or is characterized by a specific order, sequence, or arrangement relative to others.
-
B.
hasOrderStructure
Indicates that there is a defined ordering relation imposed on the elements of a set or collection, specifying how they are arranged or compared in terms of order.
-
C.
hasMultiplicationFormula
Indicates that there exists a specific multiplication-based formula or rule that defines or computes the value or behavior of the related entity.
-
D.
hasInverseFormula
Indicates that one formula is mathematically derived as the inverse of another formula, reversing its input-output relationship.
-
E.
isOrderOf
Indicates that one entity specifies the sequence, arrangement, or ranking in which elements of another entity are organized or occur.
- 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_69ee5b4d25ac819086acb51184602576 |
completed | April 26, 2026, 6:37 p.m. |
| NER | Named-entity recognition | batch_69f6b49436b0819094e21603054d05d4 |
completed | May 3, 2026, 2:36 a.m. |
| PD | Predicate disambiguation | batch_69f6b3a5fd8481909433e923c5e24e55 |
completed | May 3, 2026, 2:32 a.m. |
Created at: April 26, 2026, 9:08 p.m.