Triple

T5570612
Position Surface form Disambiguated ID Type / Status
Subject Fermat's theorem on sums of two squares E146190 entity
Predicate excludesPrimes P64862 FINISHED
Object odd primes congruent to 3 modulo 4 from being sums of two squares 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: odd primes congruent to 3 modulo 4 from being sums of two squares | Statement: [Fermat's theorem on sums of two squares, excludesPrimes, odd primes congruent to 3 modulo 4 from being sums of two squares]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: excludesPrimes
Context triple: [Fermat's theorem on sums of two squares, excludesPrimes, odd primes congruent to 3 modulo 4 from being sums of two squares]
  • A. excludes
    Indicates that one entity deliberately omits, leaves out, or does not allow the inclusion of another entity within a set, group, or context.
  • B. excludedFrom
    Indicates that one entity is deliberately not included within the scope, membership, or applicability of another entity or set.
  • C. excludeRange
    Indicates that certain values, items, or elements falling within a specified range are to be omitted or not considered.
  • D. excludesPhase
    Indicates that one entity explicitly omits, leaves out, or does not include a particular phase or stage within a process or lifecycle.
  • E. exclusionBasis
    Indicates the reason or criterion used to exclude an entity from a set, process, or consideration.
  • 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_69c008ffed108190a084602227af6157 completed March 22, 2026, 3:21 p.m.
NER Named-entity recognition batch_69c020502a288190af37f9ebb88fccae completed March 22, 2026, 5:01 p.m.
PD Predicate disambiguation batch_69c01b12826c8190969a584d0f53aa44 completed March 22, 2026, 4:38 p.m.
PDg Predicate description generation batch_69c01f4032408190a4f0d2eb21ebd870 completed March 22, 2026, 4:56 p.m.
Created at: March 22, 2026, 3:37 p.m.