Triple
T7115669
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Berlekamp’s algorithm for factoring polynomials over finite fields |
E165811
|
entity |
| Predicate | mathematicalFoundation |
P4746
|
FINISHED |
| Object | Frobenius endomorphism |
—
|
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: Frobenius endomorphism | Statement: [Berlekamp’s algorithm for factoring polynomials over finite fields, mathematicalFoundation, Frobenius endomorphism]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: mathematicalFoundation Context triple: [Berlekamp’s algorithm for factoring polynomials over finite fields, mathematicalFoundation, Frobenius endomorphism]
-
A.
mathematicalObject
Indicates that the subject is a mathematical entity or construct, such as a number, function, set, or structure, within a mathematical context.
-
B.
mathematicalSubjectClassification
Indicates that one entity classifies the mathematical subject area or field to which another entity (such as a work, concept, or topic) belongs.
-
C.
mathematicallyFormulatedIn
Indicates that something is expressed, defined, or represented using mathematical formulas, equations, or formal mathematical structures within a given context.
-
D.
mathematicallyUses
chosen
Indicates that one entity employs or applies another entity within a mathematical context, such as in a formula, proof, computation, or theoretical framework.
-
E.
sharesMathematicalStructureWith
Indicates that two entities exhibit the same or closely analogous underlying mathematical structure, such as isomorphism or structural equivalence.
- 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_69c6888227bc8190a1394679e3116f90 |
completed | March 27, 2026, 1:39 p.m. |
| NER | Named-entity recognition | batch_69c6e5f401b881909ef4c2ab1e0750db |
completed | March 27, 2026, 8:17 p.m. |
| PD | Predicate disambiguation | batch_69c6e1c4f9788190830288d00cc37026 |
completed | March 27, 2026, 8 p.m. |
Created at: March 27, 2026, 2:43 p.m.