Triple

T7678379
Position Surface form Disambiguated ID Type / Status
Subject Hodge Conjecture E173923 entity
Predicate formulatedInTermsOf P78878 FINISHED
Object rational Hodge structures 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: rational Hodge structures | Statement: [Hodge Conjecture, formulatedInTermsOf, rational Hodge structures]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: formulatedInTermsOf
Context triple: [Hodge Conjecture, formulatedInTermsOf, rational Hodge structures]
  • A. mathematicallyFormulatedIn
    Indicates that something is expressed, defined, or represented using mathematical formulas, equations, or formal mathematical structures within a given context.
  • B. mathematicallyFormulatedBy
    Indicates that something (such as a concept, model, or theory) is expressed or defined using mathematical formulations created by a particular agent.
  • C. hasFormulation
    Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by another entity.
  • D. formulatedIn
    Indicates that something was created, developed, or expressed within a particular context, place, or framework.
  • E. mathematicallyExpressedBy
    Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
  • F. None of above. chosen

Provenance (4 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_69c6995703e0819081de77361b602e78 completed March 27, 2026, 2:51 p.m.
NER Named-entity recognition batch_69c7048b0b448190889bd40e0a38e51a completed March 27, 2026, 10:28 p.m.
PD Predicate disambiguation batch_69c701618d3481908be84b76f36ac5a1 completed March 27, 2026, 10:14 p.m.
PDg Predicate description generation batch_69c7048a01508190bc2e9ae8b863486c completed March 27, 2026, 10:28 p.m.
Created at: March 27, 2026, 4:01 p.m.