Triple

T10991266
Position Surface form Disambiguated ID Type / Status
Subject Hilbert–Pólya conjecture E259757 entity
Predicate wouldImply P1661 FINISHED
Object all nontrivial zeros of the Riemann zeta function lie on the critical line Re(s) = 1/2 LITERAL 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: all nontrivial zeros of the Riemann zeta function lie on the critical line Re(s) = 1/2 | Statement: [Hilbert–Pólya conjecture, wouldImply, all nontrivial zeros of the Riemann zeta function lie on the critical line Re(s) = 1/2]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: wouldImply
Context triple: [Hilbert–Pólya conjecture, wouldImply, all nontrivial zeros of the Riemann zeta function lie on the critical line Re(s) = 1/2]
  • A. wouldProvide
    Indicates that one entity is willing or expected to supply or furnish something to another entity under certain conditions.
  • B. implies chosen
    Indicates that the truth of one statement guarantees or leads logically to the truth of another statement.
  • C. hasImplicationsFor
    Indicates that one entity’s state, action, or condition leads to consequences, effects, or relevance for another entity.
  • D. impliesStatus
    Indicates that one condition, fact, or state logically leads to or determines another status or outcome.
  • E. doesNotImply
    Indicates that the truth of one statement or condition does not guarantee or lead to the truth of another statement or condition.
  • F. None of above.

Provenance (3 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_69d6aa8a6a548190a750f944ccdc8064 completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d795d1e918819090c71f5a077fa15a completed April 9, 2026, 12:04 p.m.
PD Predicate disambiguation batch_69d72e93ac648190b46c5d12bf3eb1e9 completed April 9, 2026, 4:44 a.m.
Created at: April 8, 2026, 9:24 p.m.