Triple

T10991842
Position Surface form Disambiguated ID Type / Status
Subject Schwarz lemma E259769 entity
Predicate relatedResult P96512 FINISHED
Object Little Picard theorem E326981 NE FINISHED

How this triple was built (3 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: Little Picard theorem | Statement: [Schwarz lemma, relatedResult, Little Picard theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Little Picard theorem
Context triple: [Schwarz lemma, relatedResult, Little Picard theorem]
  • A. Picard theorem chosen
    Picard theorem is a fundamental result in complex analysis stating that entire non-constant functions take on all possible complex values, with at most one exception.
  • B. Rouché's theorem
    Rouché's theorem is a result in complex analysis that provides conditions under which two holomorphic functions have the same number of zeros inside a given contour.
  • C. Montel theorem
    Montel's theorem is a fundamental result in complex analysis stating that a family of holomorphic functions that is uniformly bounded on every compact subset of a domain is a normal family, meaning every sequence in it has a subsequence that converges uniformly on compact sets.
  • D. Schwarz lemma
    Schwarz lemma is a fundamental result in complex analysis that constrains holomorphic self-maps of the unit disk, particularly bounding their magnitude and derivative at the origin.
  • E. Hadamard three-circle theorem
    The Hadamard three-circle theorem is a result in complex analysis that describes how the maximum modulus of a holomorphic function behaves logarithmically between three concentric circles in the complex plane.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: relatedResult
Context triple: [Schwarz lemma, relatedResult, Little Picard theorem]
  • A. relatedTo
    Indicates a general, non-specific relationship or association exists between two entities.
  • B. relatedType
    Indicates that one entity is connected to another through a specified type or category of relationship.
  • C. relatedTest
    Indicates that there exists some form of connection or association between one test and another.
  • D. relatedField
    Indicates that one field, topic, or area of study is connected or relevant to another in subject matter or application.
  • E. moreCloselyRelatedTo
    Indicates that one entity has a stronger or closer relationship, connection, or similarity to a second entity than to some other reference entity.
  • F. None of above. chosen

Provenance (5 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_69d6aa8a6a548190a750f944ccdc8064 completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d795d1e918819090c71f5a077fa15a completed April 9, 2026, 12:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69e34504ebec8190a78e4795765b0c24 completed April 18, 2026, 8:47 a.m.
PD Predicate disambiguation batch_69d72e93ac648190b46c5d12bf3eb1e9 completed April 9, 2026, 4:44 a.m.
PDg Predicate description generation batch_69d732242fdc8190be77d1f730a42935 completed April 9, 2026, 4:59 a.m.
Created at: April 8, 2026, 9:24 p.m.