Triple

T17386367
Position Surface form Disambiguated ID Type / Status
Subject Andrei Suslin E422696 entity
Predicate knownFor P22 FINISHED
Object Suslin rigidity theorem
The Suslin rigidity theorem is a fundamental result in algebraic K-theory asserting strong invariance (rigidity) properties of K-theory for certain rings or schemes under extensions or deformations.
E1266014 NE FINISHED

How this triple was built (4 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: Suslin rigidity theorem | Statement: [Andrei Suslin, knownFor, Suslin rigidity theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Suslin rigidity theorem
Context triple: [Andrei Suslin, knownFor, Suslin rigidity theorem]
  • A. Lusin–Souslin theorem
    The Lusin–Souslin theorem is a fundamental result in descriptive set theory stating that the continuous injective image of a Borel set in a Polish space is again a Borel set.
  • B. Tychonoff theorem for products of compact spaces
    The Tychonoff theorem for products of compact spaces is a fundamental result in topology stating that any product of compact topological spaces is compact, a statement that is equivalent in strength to the axiom of choice.
  • C. Szekeres–Lindström theorem
    The Szekeres–Lindström theorem is a result in combinatorics that characterizes the maximum size of intersecting families of subsets, serving as a precursor to and special case of the Erdős–Ko–Rado theorem.
  • D. Tarski–Mostowski–Robinson theorem
    The Tarski–Mostowski–Robinson theorem is a fundamental result in model theory that characterizes when a class of structures is first-order axiomatizable, linking definability properties with closure under ultraproducts and isomorphisms.
  • E. Łoś–Tarski preservation theorem
    The Łoś–Tarski preservation theorem is a fundamental result in model theory that characterizes when a first-order sentence is preserved under substructures in terms of its equivalence to a universal sentence.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Suslin rigidity theorem
Triple: [Andrei Suslin, knownFor, Suslin rigidity theorem]
Generated description
The Suslin rigidity theorem is a fundamental result in algebraic K-theory asserting strong invariance (rigidity) properties of K-theory for certain rings or schemes under extensions or deformations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Suslin rigidity theorem
Target entity description: The Suslin rigidity theorem is a fundamental result in algebraic K-theory asserting strong invariance (rigidity) properties of K-theory for certain rings or schemes under extensions or deformations.
  • A. Lusin–Souslin theorem
    The Lusin–Souslin theorem is a fundamental result in descriptive set theory stating that the continuous injective image of a Borel set in a Polish space is again a Borel set.
  • B. Tychonoff theorem for products of compact spaces
    The Tychonoff theorem for products of compact spaces is a fundamental result in topology stating that any product of compact topological spaces is compact, a statement that is equivalent in strength to the axiom of choice.
  • C. Szekeres–Lindström theorem
    The Szekeres–Lindström theorem is a result in combinatorics that characterizes the maximum size of intersecting families of subsets, serving as a precursor to and special case of the Erdős–Ko–Rado theorem.
  • D. Tarski–Mostowski–Robinson theorem
    The Tarski–Mostowski–Robinson theorem is a fundamental result in model theory that characterizes when a class of structures is first-order axiomatizable, linking definability properties with closure under ultraproducts and isomorphisms.
  • E. Łoś–Tarski preservation theorem
    The Łoś–Tarski preservation theorem is a fundamental result in model theory that characterizes when a first-order sentence is preserved under substructures in terms of its equivalence to a universal sentence.
  • 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_69d889d710288190bf0f4762801fefae completed April 10, 2026, 5:25 a.m.
NER Named-entity recognition batch_69e43a89c5008190a277a68e5cfe67b7 completed April 19, 2026, 2:14 a.m.
NED1 Entity disambiguation (via context triple) batch_6a019ff95e7c81909564abc3fe319611 completed May 11, 2026, 9:23 a.m.
NEDg Description generation batch_6a01a0c2f1108190b3cdabdcd3da7253 completed May 11, 2026, 9:26 a.m.
NED2 Entity disambiguation (via description) batch_6a01a14aeab881908abf4ec28164ba84 completed May 11, 2026, 9:28 a.m.
Created at: April 10, 2026, 5:45 a.m.