Triple
T17330298
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lefschetz fibration |
E420794
|
entity |
| Predicate | monodromyTakesValuesIn |
P97264
|
FINISHED |
| Object | mapping class group of the fiber |
—
|
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: mapping class group of the fiber | Statement: [Lefschetz fibration, monodromyTakesValuesIn, mapping class group of the fiber]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: monodromyTakesValuesIn Context triple: [Lefschetz fibration, monodromyTakesValuesIn, mapping class group of the fiber]
-
A.
hasMonodromy
chosen
Indicates that one mathematical object exhibits a monodromy action or structure with respect to another (typically along loops in a parameter or base space).
-
B.
monotoneIn
Indicates that the relationship or function preserves a specified order when one of its arguments increases, meaning larger inputs (in that argument) do not lead to smaller outputs with respect to the given ordering.
-
C.
fundamentalGroup
Indicates the relationship that assigns to a topological space its fundamental group, capturing how loops in the space can be continuously deformed into one another.
-
D.
isBelyiCurve
Indicates that a given algebraic curve is a Belyi curve, i.e., it admits a holomorphic map to the projective line branched over at most three points.
-
E.
canBeAnalyticallyContinuedTo
Indicates that one mathematical object (typically a function) can be extended beyond its original domain in a consistent, analytic way that preserves its defining properties.
- 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_69d889d3adc881909319f1edb8d2a956 |
completed | April 10, 2026, 5:25 a.m. |
| NER | Named-entity recognition | batch_69e439d5c788819092bdc4d3de0ec958 |
completed | April 19, 2026, 2:11 a.m. |
| PD | Predicate disambiguation | batch_69e3b021a5bc81909ae55406f9d0b37f |
completed | April 18, 2026, 4:24 p.m. |
Created at: April 10, 2026, 5:43 a.m.