Triple

T24313804
Position Surface form Disambiguated ID Type / Status
Subject Gale’s theorem on flows with convex costs E612747 entity
Predicate implies P1661 FINISHED
Object existence of dual variables associated with nodes or edges LITERAL FINISHED

How this triple was built (1 step)

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: existence of dual variables associated with nodes or edges | Statement: [Gale’s theorem on flows with convex costs, implies, existence of dual variables associated with nodes or edges]

Provenance (2 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_69e2d7da491c8190b6e6218af50923db completed April 18, 2026, 1:01 a.m.
NER Named-entity recognition batch_69f292a569dc81908971a4026e612a05 completed April 29, 2026, 11:22 p.m.
Created at: April 18, 2026, 1:45 a.m.