Triple
T31024373
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cohen–Macaulay ring |
E790527
|
entity |
| Predicate | hasGeometricInterpretation |
P43784
|
FINISHED |
| Object | coordinate ring of a Cohen–Macaulay scheme |
—
|
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: coordinate ring of a Cohen–Macaulay scheme | Statement: [Cohen–Macaulay ring, hasGeometricInterpretation, coordinate ring of a Cohen–Macaulay scheme]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasGeometricInterpretation Context triple: [Cohen–Macaulay ring, hasGeometricInterpretation, coordinate ring of a Cohen–Macaulay scheme]
-
A.
geometricInterpretation
chosen
Indicates a relationship where one entity provides or embodies a geometric meaning, representation, or visualization of another entity.
-
B.
isGeometric
Indicates that something has the properties or form of a geometric figure, pattern, or structure.
-
C.
hasGeodesics
Indicates that the subject possesses or is characterized by geodesic paths, typically representing shortest or straightest possible routes within a given space or geometry.
-
D.
hasMathematicalProperty
Indicates that one entity possesses or exhibits a specific mathematical property or characteristic.
-
E.
mathematicalObject
Indicates that the subject is a mathematical entity or construct, such as a number, function, set, or structure, within a mathematical context.
- 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_69f224c811508190a7de096a5b1f5798 |
completed | April 29, 2026, 3:33 p.m. |
| NER | Named-entity recognition | batch_69fb3425666081908916fcbf3b5dd907 |
completed | May 6, 2026, 12:29 p.m. |
| PD | Predicate disambiguation | batch_69fb2f5f3164819099429c2cc3d24e01 |
completed | May 6, 2026, 12:09 p.m. |
Created at: April 29, 2026, 8:58 p.m.