Triple

T18956166
Position Surface form Disambiguated ID Type / Status
Subject Kummer surface E463785 entity
Predicate hasInvolution P72959 FINISHED
Object x ↦ −x on the abelian surface 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: x ↦ −x on the abelian surface | Statement: [Kummer surface, hasInvolution, x ↦ −x on the abelian surface]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasInvolution
Context triple: [Kummer surface, hasInvolution, x ↦ −x on the abelian surface]
  • A. symmetryInvolved
    Indicates that a relationship or action inherently involves symmetry, such as invariance under certain transformations or the presence of symmetric structure or behavior.
  • B. hasAutomorphism chosen
    Indicates that there exists a structure-preserving bijection from an entity to itself that maintains all relevant relations and operations.
  • C. hasInversionCount
    Indicates that there is a specific number of pairwise order inversions present in a given sequence or arrangement.
  • D. invariantUnder
    Indicates that a property, structure, or quantity remains unchanged when a specified transformation or operation is applied.
  • E. inversions
    Indicates a relationship where the usual order, position, or hierarchy between elements is reversed or turned upside down.
  • 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_69d8dcffc278819086792a4ebfddfafa completed April 10, 2026, 11:20 a.m.
NER Named-entity recognition batch_69e5d5cdf2d08190a0aecd3fa5335a75 completed April 20, 2026, 7:29 a.m.
PD Predicate disambiguation batch_69e4a2f437648190b85650dae8885d48 completed April 19, 2026, 9:40 a.m.
Created at: April 10, 2026, noon