Triple

T10732795
Position Surface form Disambiguated ID Type / Status
Subject Serre duality E253115 entity
Predicate pairingType P31338 FINISHED
Object perfect pairing of finite-dimensional k-vector spaces 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: perfect pairing of finite-dimensional k-vector spaces | Statement: [Serre duality, pairingType, perfect pairing of finite-dimensional k-vector spaces]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: pairingType
Context triple: [Serre duality, pairingType, perfect pairing of finite-dimensional k-vector spaces]
  • A. starPairing
    Indicates a relationship where two stars are associated or grouped together as a pair, typically for observational, analytical, or classificatory purposes.
  • B. pairedMonitorType
    Indicates that one monitor is associated with or linked to another monitor of a specified type as its pair.
  • C. isPairOf
    Indicates that two entities are associated as a matched or corresponding pair within a defined context.
  • D. dualPair chosen
    Indicates that two entities form a dual pair, standing in a mathematically defined dual relationship where each is the dual counterpart of the other.
  • E. commonPair
    Indicates that two entities commonly occur together or are frequently associated as a pair in some shared context.
  • 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_69d6aa5d8be481909a43218b2bfdbe95 completed April 8, 2026, 7:19 p.m.
NER Named-entity recognition batch_69d7101ff9808190a27fcc06da097ea3 completed April 9, 2026, 2:34 a.m.
PD Predicate disambiguation batch_69d6f309a44881908e49e3ba478c35b4 completed April 9, 2026, 12:30 a.m.
Created at: April 8, 2026, 9:14 p.m.