Triple
T36184743
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Arnold cat map |
E1046813
|
entity |
| Predicate | isDefinedByFormula |
P114498
|
FINISHED |
| Object | (x',y') = (2x + y, x + y) mod 1 |
—
|
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: (x',y') = (2x + y, x + y) mod 1 | Statement: [Arnold cat map, isDefinedByFormula, (x',y') = (2x + y, x + y) mod 1]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isDefinedByFormula Context triple: [Arnold cat map, isDefinedByFormula, (x',y') = (2x + y, x + y) mod 1]
-
A.
hasInverseFormula
Indicates that one formula is mathematically derived as the inverse of another formula, reversing its input-output relationship.
-
B.
hasReflectionFormula
Indicates that an entity is associated with a specific formula or expression used to compute its reflection (e.g., across a line, plane, or axis).
-
C.
formulaInvolves
Indicates that a given formula includes, references, or depends on a specified element or component.
-
D.
hasNameInFormula
Indicates that an entity is referred to by a specific name or symbol within a formula or formal expression.
-
E.
mathematicallyDefinedAs
chosen
Indicates that one entity is precisely specified or characterized in terms of another using a formal mathematical definition or expression.
- 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_69f76e3d4fbc81908c159c7beeb4ce00 |
completed | May 3, 2026, 3:48 p.m. |
| NER | Named-entity recognition | batch_69f7b69b333081909cadbed3fcb8ecf5 |
completed | May 3, 2026, 8:56 p.m. |
| PD | Predicate disambiguation | batch_69f7b4c2a5f8819094ad4621d7b97e0c |
completed | May 3, 2026, 8:49 p.m. |
Created at: May 3, 2026, 4:08 p.m.