Triple

T1470748
Position Surface form Disambiguated ID Type / Status
Subject Pascal's identity E27128 entity
Predicate constraintOnVariables P4464 FINISHED
Object k ≥ 1 in the form C(n,k) = C(n-1,k-1) + C(n-1,k) 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: k ≥ 1 in the form C(n,k) = C(n-1,k-1) + C(n-1,k) | Statement: [Pascal's identity, constraintOnVariables, k ≥ 1 in the form C(n,k) = C(n-1,k-1) + C(n-1,k)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: constraintOnVariables
Context triple: [Pascal's identity, constraintOnVariables, k ≥ 1 in the form C(n,k) = C(n-1,k-1) + C(n-1,k)]
  • A. constrainedBy
    Indicates that one entity’s state, behavior, or possibilities are limited, restricted, or governed by another entity.
  • B. contingentOn
    Indicates that the occurrence, validity, or outcome of one event or condition depends on the fulfillment or existence of another.
  • C. obligationCondition
    Indicates that one situation or state serves as the condition under which an obligation for an entity becomes active or must be fulfilled.
  • D. definedOn chosen
    Indicates that something (such as a function, rule, or structure) is specified to apply or be valid over a particular domain, set, or context.
  • E. compositionRule
    Indicates how multiple elements or components are combined or arranged according to a specific rule or pattern.
  • 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_69a496d25d6881909dbd84f86d763992 completed March 1, 2026, 7:43 p.m.
NER Named-entity recognition batch_69a4c5d9dd4c8190ba840a9255cd1293 completed March 1, 2026, 11:03 p.m.
PD Predicate disambiguation batch_69a4c48350d88190a81bd149103f93e3 completed March 1, 2026, 10:58 p.m.
Created at: March 1, 2026, 8:01 p.m.