Triple

T3821401
Position Surface form Disambiguated ID Type / Status
Subject Atiyah–Singer index theorem E84379 entity
Predicate coreStatement P31329 FINISHED
Object analytic index equals topological index 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: analytic index equals topological index | Statement: [Atiyah–Singer index theorem, coreStatement, analytic index equals topological index]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: coreStatement
Context triple: [Atiyah–Singer index theorem, coreStatement, analytic index equals topological index]
  • A. natureOfStatement
    Indicates that the statement is being characterized by its type, quality, or logical status (e.g., fact, opinion, assumption, or claim).
  • B. statement
    Indicates that an entity makes, issues, or expresses a declarative assertion, claim, or remark about something.
  • C. coreStandard
    Indicates that something conforms to, is defined by, or is governed by a central or foundational standard or specification.
  • D. coreCondition
    Indicates that something serves as the primary or fundamental condition that must hold for a situation, process, or relationship to apply.
  • E. coreThesis chosen
    Indicates that something expresses, embodies, or constitutes the central argument or main claim within a larger work, discussion, or theory.
  • 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_69aed931f5908190be2c07af66d4df25 completed March 9, 2026, 2:29 p.m.
NER Named-entity recognition batch_69aef188b474819087680db42b04ecdd completed March 9, 2026, 4:12 p.m.
PD Predicate disambiguation batch_69aee74a2bc081909b237df8b1e27653 completed March 9, 2026, 3:29 p.m.
Created at: March 9, 2026, 3:17 p.m.