Triple

T7678436
Position Surface form Disambiguated ID Type / Status
Subject Yang–Mills existence and mass gap problem E173924 entity
Predicate requiresProofIn P78881 FINISHED
Object four-dimensional Euclidean space (via Wick rotation) 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: four-dimensional Euclidean space (via Wick rotation) | Statement: [Yang–Mills existence and mass gap problem, requiresProofIn, four-dimensional Euclidean space (via Wick rotation)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: requiresProofIn
Context triple: [Yang–Mills existence and mass gap problem, requiresProofIn, four-dimensional Euclidean space (via Wick rotation)]
  • A. requiresProofOf
    Indicates that one entity must provide formal evidence or documentation to validate or authorize another entity.
  • B. requiredBy
    Indicates that one entity depends on or cannot function properly without another entity being present, completed, or satisfied.
  • C. requiresClaim
    Indicates that one entity can only be accessed, used, or fulfilled if a specific claim or entitlement has first been asserted or verified.
  • D. requiresAdviceAndApprovalOf
    Indicates that one entity can proceed with an action or decision only if it first seeks guidance and obtains formal approval from another entity.
  • E. requires
    Indicates that one entity must exist, occur, or be satisfied before another entity can exist, occur, or be carried out.
  • 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.