Triple

T36870517
Position Surface form Disambiguated ID Type / Status
Subject 4-sphere S^4 E911210 entity
Predicate cohomologyRing P186613 FINISHED
Object Z[α]/(α^2) with deg(α)=4 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: Z[α]/(α^2) with deg(α)=4 | Statement: [4-sphere S^4, cohomologyRing, Z[α]/(α^2) with deg(α)=4]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: cohomologyRing
Context triple: [4-sphere S^4, cohomologyRing, Z[α]/(α^2) with deg(α)=4]
  • A. cohomologyType
    Indicates the type or classification of a cohomology theory or cohomological structure associated with an object or context.
  • B. cohomologyOperationRelation
    Indicates a relationship where one cohomology operation is applied to, derived from, or otherwise structurally related to another within a cohomological framework.
  • C. definesCohomologyClass
    Indicates that one mathematical object (such as a cocycle, form, or map) specifies or determines a particular cohomology class in a given cohomology group.
  • D. cohomologyDegree
    Indicates the specific degree in which a cohomology group or cohomological class is taken within a graded cohomological structure.
  • E. cohomologyUsedFor
    Indicates that a concept, method, or result is employed for purposes involving cohomology, such as computing, applying, or analyzing cohomological structures.
  • F. None of above. chosen

Provenance (4 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_69f76e80f6f0819091cba8e19b269615 completed May 3, 2026, 3:49 p.m.
NER Named-entity recognition batch_69f9fe1a1ca4819084c196f0041f0be2 completed May 5, 2026, 2:26 p.m.
PD Predicate disambiguation batch_69f7cf7890008190a8bc355ff2d61c86 completed May 3, 2026, 10:43 p.m.
PDg Predicate description generation batch_69f9fd66eed48190bdc26a8def328c2d completed May 5, 2026, 2:23 p.m.
Created at: May 3, 2026, 4:13 p.m.