Triple

T36469397
Position Surface form Disambiguated ID Type / Status
Subject Clifford’s theorem E898501 entity
Predicate characterizesEqualityCase P200927 FINISHED
Object equality holds only for hyperelliptic curves or trivial cases 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: equality holds only for hyperelliptic curves or trivial cases | Statement: [Clifford’s theorem, characterizesEqualityCase, equality holds only for hyperelliptic curves or trivial cases]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: characterizesEqualityCase
Context triple: [Clifford’s theorem, characterizesEqualityCase, equality holds only for hyperelliptic curves or trivial cases]
  • A. equalityCase
    Indicates that two entities are considered equal or equivalent under a specific case or case-sensitivity condition.
  • B. attainsEqualityIn
    Indicates that one entity reaches a state of being equal to another entity in a specified attribute, condition, or measure.
  • C. claimedEqualityWith
    Indicates that one entity has asserted or stated that it is equal or equivalent to another entity.
  • D. equalityCondition
    Indicates that two values, expressions, or attributes must be exactly the same for the condition to be satisfied.
  • E. keyEquality
    Indicates that two keys or key-like identifiers are considered equal according to a defined comparison or equivalence rule.
  • 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_69f76e58ebd88190b75d9b169b59d793 completed May 3, 2026, 3:48 p.m.
NER Named-entity recognition batch_69ffb97b8ff8819088b105d99a0820c9 completed May 9, 2026, 10:47 p.m.
PD Predicate disambiguation batch_69ffb88ef7388190a710120ed76edc0e completed May 9, 2026, 10:43 p.m.
PDg Predicate description generation batch_69ffb97ae1508190bf3addd6e2aac281 completed May 9, 2026, 10:47 p.m.
Created at: May 3, 2026, 4:10 p.m.