Triple
T2631554
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Martingale representation theorem |
E59640
|
entity |
| Predicate | typicalFormulation |
P12789
|
FINISHED |
| Object | every L2-martingale adapted to the Brownian filtration is an Itô integral of a predictable process |
—
|
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: every L2-martingale adapted to the Brownian filtration is an Itô integral of a predictable process | Statement: [Martingale representation theorem, typicalFormulation, every L2-martingale adapted to the Brownian filtration is an Itô integral of a predictable process]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: typicalFormulation Context triple: [Martingale representation theorem, typicalFormulation, every L2-martingale adapted to the Brownian filtration is an Itô integral of a predictable process]
-
A.
typicalForm
chosen
Indicates that one entity represents the standard, characteristic, or most common form or shape in which another entity typically appears or is realized.
-
B.
standardFormulation
Indicates that something is expressed or represented in a conventional, officially accepted, or commonly used form or version.
-
C.
hasFormulation
Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by another entity.
-
D.
hasFormulationType
Indicates the specific way something is physically prepared or presented, such as its dosage form, composition, or delivery format.
-
E.
standardFormUsedIn
Indicates that a particular standard form is employed or applied within a given context, process, or system.
- 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_69ab4ac8596c8190b34997e73d9e991c |
completed | March 6, 2026, 9:44 p.m. |
| NER | Named-entity recognition | batch_69abdb0e7b888190bfa5d2e33f00ec0f |
completed | March 7, 2026, 8 a.m. |
| PD | Predicate disambiguation | batch_69abd810d7f481908e81c305772c4c14 |
completed | March 7, 2026, 7:47 a.m. |
Created at: March 6, 2026, 9:50 p.m.