Triple

T36876993

Position	Surface form	Disambiguated ID	Type / Status
Subject	Bockstein homomorphism	`E911365`	entity
Predicate	usedWithCoefficients	`P93936`	FINISHED
Object	Z/nZ Z/nZ is the finite cyclic group (or ring) of integers modulo n, consisting of equivalence classes of integers under congruence mod n.	`E2202553`	NE FINISHED

How this triple was built (3 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/nZ | Statement: [Bockstein homomorphism, usedWithCoefficients, Z/nZ]

NEDg Description generation gpt-5.1

Instruction

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Input

Entity: Z/nZ
Triple: [Bockstein homomorphism, usedWithCoefficients, Z/nZ]

Generated description

Z/nZ is the finite cyclic group (or ring) of integers modulo n, consisting of equivalence classes of integers under congruence mod n.

PD Predicate disambiguation gpt-5-mini-2025-08-07

Target predicate: usedWithCoefficients
Context triple: [Bockstein homomorphism, usedWithCoefficients, Z/nZ]

A. coefficientsIn chosen
Indicates that one entity appears as a coefficient within the mathematical expression or representation of another entity.
B. usedWith
Indicates that one entity is typically or appropriately employed together with another entity in a combined or complementary use.
C. holdsWithCoefficients
Indicates that a relationship or equation remains valid when specific numerical coefficients are applied to its terms.
D. conditionOnCoefficients
Indicates that one entity’s state, validity, or behavior is determined by or contingent upon the values of certain coefficients.
E. coefficientProperty
Indicates a relationship where one entity serves as a coefficient or scalar factor that quantitatively modifies or characterizes another entity or property.
F. None of above.

Provenance (6 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_69f76e82339881909607a65c0503d941`	completed	May 3, 2026, 3:49 p.m.
NER	Named-entity recognition	`batch_69f9fd6834cc8190aa27153d6a99f3bb`	completed	May 5, 2026, 2:23 p.m.
NED1	Entity disambiguation (via context triple)	`batch_6a3dfae9b5cc81909b67520b22ba81ec`	completed	June 26, 2026, 4:07 a.m.
NEDg	Description generation	`batch_6a3dfb65339c8190b9dce70882b43218`	completed	June 26, 2026, 4:09 a.m.
NED2	Entity disambiguation (via description)	`batch_6a3dfcd781f881908480874f47984022`	completed	June 26, 2026, 4:15 a.m.
PD	Predicate disambiguation	`batch_69f7cf7890008190a8bc355ff2d61c86`	completed	May 3, 2026, 10:43 p.m.

Created at: May 3, 2026, 4:13 p.m.