Triple

T20967984
Position Surface form Disambiguated ID Type / Status
Subject Chen Jingrun E516419 entity
Predicate proved P21917 FINISHED
Object Chen’s theorem on Goldbach’s conjecture — NE NERFINISHED

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: Chen’s theorem on Goldbach’s conjecture | Statement: [Chen Jingrun, proved, Chen’s theorem on Goldbach’s conjecture]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Chen’s theorem on Goldbach’s conjecture
Context triple: [Chen Jingrun, proved, Chen’s theorem on Goldbach’s conjecture]
  • A. results of Chen Jingrun on Goldbach-type problems chosen
    The results of Chen Jingrun on Goldbach-type problems are landmark achievements in analytic number theory, most notably his theorem showing that every sufficiently large even integer can be expressed as the sum of a prime and a number with at most two prime factors (a “Chen prime” representation).
  • B. Vinogradov's three-primes theorem
    Vinogradov's three-primes theorem is a landmark result in analytic number theory proving that every sufficiently large odd integer can be expressed as the sum of three prime numbers.
  • C. Linnik’s theorem on the least prime in an arithmetic progression
    Linnik’s theorem on the least prime in an arithmetic progression is a result in analytic number theory that gives an explicit upper bound, depending only on the modulus, for the size of the smallest prime in any given coprime residue class.
  • D. Piatetski-Shapiro prime number theorem
    The Piatetski-Shapiro prime number theorem is a result in analytic number theory that establishes the existence of infinitely many primes among the values of certain non-integer power sequences, such as ⌊n^c⌋ for suitable real exponents c.
  • E. 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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69e0b4fde6c48190af1398e7e734629e completed April 16, 2026, 10:07 a.m.
NER Named-entity recognition batch_69e6fb9d6b548190af7214ad2468cfbf completed April 21, 2026, 4:22 a.m.
Created at: April 16, 2026, 1:39 p.m.