Triple

T10772639
Position Surface form Disambiguated ID Type / Status
Subject étale cohomology E254118 entity
Predicate hasComparisonIsomorphismWith P29599 FINISHED
Object singular cohomology over complex numbers 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: singular cohomology over complex numbers | Statement: [étale cohomology, hasComparisonIsomorphismWith, singular cohomology over complex numbers]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasComparisonIsomorphismWith
Context triple: [étale cohomology, hasComparisonIsomorphismWith, singular cohomology over complex numbers]
  • A. isIsomorphicTo chosen
    Indicates that two structures have a one-to-one, structure-preserving correspondence between their elements, making them equivalent in form even if not identical in content.
  • B. isLocallyIsomorphicTo
    Indicates that two structures are isomorphic within some local neighborhood or restricted region, even if they may differ globally.
  • C. hasHomomorphism
    Indicates that there exists a structure-preserving map (homomorphism) from one mathematical structure to another.
  • D. hasSimilarityTo
    Indicates that one entity shares common characteristics, features, or qualities with another entity to a notable degree.
  • E. isComparedTo
    Indicates that one entity is evaluated or measured in relation to another to highlight similarities, differences, or relative qualities.
  • 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_69d6aa5f54f4819082d0bbcb6f8797e6 completed April 8, 2026, 7:19 p.m.
NER Named-entity recognition batch_69d7329a281081909cdc4b971cf69207 completed April 9, 2026, 5:01 a.m.
PD Predicate disambiguation batch_69d6f31455648190b5c24690487b1b54 completed April 9, 2026, 12:30 a.m.
Created at: April 8, 2026, 9:16 p.m.