Triple

T26254924
Position Surface form Disambiguated ID Type / Status
Subject T : z ↦ z + 1 E656690 entity
Predicate hasMöbiusForm P160145 FINISHED
Object z ↦ (1·z + 1)/(0·z + 1) 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: z ↦ (1·z + 1)/(0·z + 1) | Statement: [T : z ↦ z + 1, hasMöbiusForm, z ↦ (1·z + 1)/(0·z + 1)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasMöbiusForm
Context triple: [T : z ↦ z + 1, hasMöbiusForm, z ↦ (1·z + 1)/(0·z + 1)]
  • A. hasMotivicFunction
    Indicates that one musical element serves a specific thematic or structural role in relation to a larger motive or passage.
  • B. hasMonodromy
    Indicates that one mathematical object exhibits a monodromy action or structure with respect to another (typically along loops in a parameter or base space).
  • C. hasManifoldStructure
    Indicates that one entity endows or possesses a manifold structure on or over another entity.
  • D. hasHodgeNumbers
    Indicates that an entity (typically a geometric or algebraic object) is associated with specific Hodge numbers describing its Hodge decomposition or Hodge structure.
  • E. hasHodgeStructure
    Indicates that one mathematical object is endowed with, or related to another via, a Hodge structure defining its decomposition into Hodge components.
  • 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_69ee5b4d25ac819086acb51184602576 completed April 26, 2026, 6:37 p.m.
NER Named-entity recognition batch_69f60dcd2e688190b54e36b0ff0d9187 completed May 2, 2026, 2:44 p.m.
PD Predicate disambiguation batch_69f5f7ff548c8190a23e98c5e66e0bc7 completed May 2, 2026, 1:11 p.m.
PDg Predicate description generation batch_69f5ffc6268c8190b63f6360ebadab73 completed May 2, 2026, 1:44 p.m.
Created at: April 26, 2026, 9:08 p.m.