Triple

T18479688

Position	Surface form	Disambiguated ID	Type / Status
Subject	Goldbach conjecture	`E451524`	entity
Predicate	connectedConcept	`P37`	FINISHED
Object	Goldbach function	`—`	NE NERFINISHED

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: Goldbach function | Statement: [Goldbach conjecture, connectedConcept, Goldbach function]

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Goldbach function
Context triple: [Goldbach conjecture, connectedConcept, Goldbach function]

A. Goldbach
Goldbach is a small river flowing through the town of Blankenburg in the Harz region of Germany.
B. Goldbach
Goldbach is a locality within the municipality of Küsnacht in the canton of Zürich, Switzerland, situated along the shores of Lake Zurich.
C. Goldbach conjecture
The Goldbach conjecture is a famous unsolved problem in number theory asserting that every even integer greater than 2 can be expressed as the sum of two prime numbers.
D. Siegel–Walfisz theorem
The Siegel–Walfisz theorem is a result in analytic number theory that gives strong uniform estimates for the distribution of prime numbers in arithmetic progressions with relatively small moduli.
E. Chebyshev functions
Chebyshev functions are arithmetic functions in number theory that encode information about the distribution of prime numbers and play a key role in analytic approaches to the prime number theorem.
F. None of above. chosen
G. Unsure - the case is ambiguous/there is not enough information to decide.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Goldbach function
Target entity description: The Goldbach function is an arithmetic function that counts the number of ways an even integer can be expressed as the sum of two prime numbers, reflecting the structure underlying the Goldbach conjecture.

A. Goldbach
Goldbach is a small river flowing through the town of Blankenburg in the Harz region of Germany.
B. Goldbach
Goldbach is a locality within the municipality of Küsnacht in the canton of Zürich, Switzerland, situated along the shores of Lake Zurich.
C. Goldbach conjecture
The Goldbach conjecture is a famous unsolved problem in number theory asserting that every even integer greater than 2 can be expressed as the sum of two prime numbers.
D. Siegel–Walfisz theorem
The Siegel–Walfisz theorem is a result in analytic number theory that gives strong uniform estimates for the distribution of prime numbers in arithmetic progressions with relatively small moduli.
E. Chebyshev functions
Chebyshev functions are arithmetic functions in number theory that encode information about the distribution of prime numbers and play a key role in analytic approaches to the prime number theorem.
F. None of above. chosen

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_69d8d38465a0819099b9b42d2a662ac1`	completed	April 10, 2026, 10:40 a.m.
NER	Named-entity recognition	`batch_69e53066a7108190a50eda9b489c90ca`	completed	April 19, 2026, 7:43 p.m.

Created at: April 10, 2026, 11:35 a.m.