Triple
T26254925
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | T : z ↦ z + 1 |
E656690
|
entity |
| Predicate | isConjugateInPSL(2,ℤ)To |
P65691
|
FINISHED |
| Object | any other primitive parabolic element |
—
|
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: any other primitive parabolic element | Statement: [T : z ↦ z + 1, isConjugateInPSL(2,ℤ)To, any other primitive parabolic element]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isConjugateInPSL(2,ℤ)To Context triple: [T : z ↦ z + 1, isConjugateInPSL(2,ℤ)To, any other primitive parabolic element]
-
A.
PSL2ZIsomorphicTo
Indicates that the mathematical object in question is isomorphic, as an abstract group, to the modular group PSL(2,ℤ).
-
B.
congruenceSubgroups
Indicates that there is a relationship between groups where one is a congruence subgroup of the other, typically defined by congruence conditions modulo some integer or ideal.
-
C.
conjugacyProperty
chosen
Indicates that two elements or structures are related by conjugation, sharing the same form up to an inner automorphism or similarity transformation.
-
D.
hasParabolicSubgroupsCorrespondingTo
Indicates that one mathematical structure possesses parabolic subgroups that correspond in a defined way to elements or substructures of another entity.
-
E.
isAutomorphismGroupOf
Indicates that a group is the full automorphism group consisting of all structure-preserving bijections (automorphisms) of a given mathematical object.
- 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_69f6247480cc8190a887eedaeb94615c |
completed | May 2, 2026, 4:21 p.m. |
| PD | Predicate disambiguation | batch_69f623a7539c8190b71797f583da9f63 |
completed | May 2, 2026, 4:17 p.m. |
Created at: April 26, 2026, 9:08 p.m.