Triple

T17330300
Position Surface form Disambiguated ID Type / Status
Subject Lefschetz fibration E420794 entity
Predicate monodromyAroundCriticalValue P97264 FINISHED
Object Dehn twist about vanishing cycle 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: Dehn twist about vanishing cycle | Statement: [Lefschetz fibration, monodromyAroundCriticalValue, Dehn twist about vanishing cycle]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: monodromyAroundCriticalValue
Context triple: [Lefschetz fibration, monodromyAroundCriticalValue, Dehn twist about vanishing cycle]
  • 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. 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.
  • C. orderOfPoleAt
    Indicates the location or index at which a function has a pole of a specified order.
  • D. 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.
  • E. hasOrderOfPoleAtLatticePoints
    Indicates that a function has poles of specified orders at each point of a given lattice in its domain.
  • 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.