Triple

T25319880

Position	Surface form	Disambiguated ID	Type / Status
Subject	Eilenberg–Zilber theorem	`E634847`	entity
Predicate	provides	`P490`	FINISHED
Object	Eilenberg–Zilber map The Eilenberg–Zilber map is a natural chain homotopy equivalence that relates the singular chain complex of a product space to the tensor product of the singular chain complexes of its factors in algebraic topology.	`E634847`	NE 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: Eilenberg–Zilber map | Statement: [Eilenberg–Zilber theorem, provides, Eilenberg–Zilber map]

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: Eilenberg–Zilber map
Triple: [Eilenberg–Zilber theorem, provides, Eilenberg–Zilber map]

Generated description

The Eilenberg–Zilber map is a natural chain homotopy equivalence that relates the singular chain complex of a product space to the tensor product of the singular chain complexes of its factors in algebraic topology.

Provenance (5 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_69e75a9847c08190bb02990d06d5ffb7`	completed	April 21, 2026, 11:08 a.m.
NER	Named-entity recognition	`batch_69f4968d6e848190bcb8668b6dc3f183`	completed	May 1, 2026, 12:03 p.m.
NED1	Entity disambiguation (via context triple)	`batch_6a1075e71d4c8190b0b404c7a0f749ab`	completed	May 22, 2026, 3:27 p.m.
NEDg	Description generation	`batch_6a10775af30c8190b81d59d29bf57a2e`	completed	May 22, 2026, 3:33 p.m.
NED2	Entity disambiguation (via description)	`batch_6a1078eaf8888190b3453537d13d6cc5`	completed	May 22, 2026, 3:40 p.m.

Created at: April 21, 2026, 1:28 p.m.