Triple

T22423171
Position Surface form Disambiguated ID Type / Status
Subject Erdős–Ko–Rado theorem E554298 entity
Predicate boundaryCase P148127 FINISHED
Object for n = 2k, there exist non-star maximum intersecting families — 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: for n = 2k, there exist non-star maximum intersecting families | Statement: [Erdős–Ko–Rado theorem, boundaryCase, for n = 2k, there exist non-star maximum intersecting families]
PD Predicate disambiguation gpt-5-mini-2025-08-07 
Target predicate: boundaryCase
Context triple: [Erdős–Ko–Rado theorem, boundaryCase, for n = 2k, there exist non-star maximum intersecting families]
  • A. boundaryStatus
    Indicates the status or condition of a boundary between entities, such as whether it is defined, active, disputed, or otherwise characterized.
  • B. boundaryBetween
    Indicates that something serves as a dividing line or limit separating two distinct regions, areas, or entities.
  • C. boundaryCondition
    Indicates the specific constraints or values imposed at the limits or edges of a system, domain, or process that govern its behavior there.
  • D. borderStraddling
    Indicates that something (such as a feature, structure, or area) extends across and occupies territory on both sides of a border between two regions or jurisdictions.
  • E. borderPoint
    Indicates a point that lies on the boundary between two regions or entities.
  • 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_69e11e4f2d0c819091aa3558ea2ee630 completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f15a2af620819083338127e78137dc completed April 29, 2026, 1:08 a.m.
PD Predicate disambiguation batch_69e8989495bc81909d2699fce5992e28 completed April 22, 2026, 9:44 a.m.
PDg Predicate description generation batch_69e8aa39e3388190b659d59948ebf3e6 completed April 22, 2026, 11 a.m.
Created at: April 16, 2026, 8:47 p.m.