Triple

T36469496
Position Surface form Disambiguated ID Type / Status
Subject Green’s conjecture E898503 entity
Predicate VoisinProofMethod P7024 FINISHED
Object use of K3 surfaces and their hyperplane sections 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: use of K3 surfaces and their hyperplane sections | Statement: [Green’s conjecture, VoisinProofMethod, use of K3 surfaces and their hyperplane sections]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: VoisinProofMethod
Context triple: [Green’s conjecture, VoisinProofMethod, use of K3 surfaces and their hyperplane sections]
  • A. hasProofMethod chosen
    Indicates that there exists a specific method or technique used to establish or demonstrate the validity of something (such as a statement, claim, or theorem).
  • B. usesProofLanguage
    Indicates that one entity employs a specific formal or structured language to express or present a proof related to another entity.
  • C. provesTo
    Indicates that one entity demonstrates or establishes the truth or validity of something to another entity.
  • D. provedFrom
    Indicates that one statement, theorem, or conclusion is logically derived and demonstrated to be true based on another statement or set of premises.
  • E. hasAlternativeProofMethod
    Indicates that there exists a different proof technique or approach that can be used to establish the same result or theorem.
  • 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_69f76e58ebd88190b75d9b169b59d793 completed May 3, 2026, 3:48 p.m.
NER Named-entity recognition batch_69f7c371931c8190afb1d4dd5157f92c completed May 3, 2026, 9:51 p.m.
PD Predicate disambiguation batch_69f7c1b91fd88190ab85afd626603769 completed May 3, 2026, 9:44 p.m.
Created at: May 3, 2026, 4:10 p.m.