Triple

T8144042
Position Surface form Disambiguated ID Type / Status
Subject Kepler–Poinsot polyhedra E190163 entity
Predicate haveEulerCharacteristic P39244 FINISHED
Object non-standard when faces and vertices are counted naively 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: non-standard when faces and vertices are counted naively | Statement: [Kepler–Poinsot polyhedra, haveEulerCharacteristic, non-standard when faces and vertices are counted naively]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: haveEulerCharacteristic
Context triple: [Kepler–Poinsot polyhedra, haveEulerCharacteristic, non-standard when faces and vertices are counted naively]
  • A. EulerCharacteristic chosen
    Indicates the topological invariant of a space that equals, in a suitable decomposition, the alternating sum of the counts of its cells (e.g., vertices − edges + faces).
  • B. isSimplyConnected
    Indicates that a topological space has no "holes," meaning every loop within it can be continuously contracted to a single point.
  • C. hasHausdorffDimension
    Indicates that a mathematical object is associated with a specific Hausdorff dimension value, expressing the fractal or geometric complexity of the object.
  • D. hasCharacteristicPolynomial
    Indicates that one mathematical object (typically a matrix or linear operator) is associated with a specific characteristic polynomial that encodes its eigenvalue-related properties.
  • E. isHolomorphicallyContractible
    Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
  • 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_69ca82bd9900819099477cdc2eb4244f completed March 30, 2026, 2:03 p.m.
NER Named-entity recognition batch_69cb4444bb248190beaaa2ce4b8f3eaa completed March 31, 2026, 3:49 a.m.
PD Predicate disambiguation batch_69cb369c0d0481908762c488d7f77e74 completed March 31, 2026, 2:51 a.m.
Created at: March 30, 2026, 5:36 p.m.