Triple

T7030511
Position Surface form Disambiguated ID Type / Status
Subject Conway sphere E163255 entity
Predicate relatedConcept P37 FINISHED
Object Conway tangle
A Conway tangle is a configuration of intertwined arcs in a three-dimensional ball used in knot theory to decompose and classify knots and links.
E163255 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: Conway tangle | Statement: [Conway sphere, relatedConcept, Conway tangle]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Conway tangle
Context triple: [Conway sphere, relatedConcept, Conway tangle]
  • A. Conway notation for knots
    Conway notation for knots is a mathematical system introduced by John H. Conway that encodes knot and link diagrams into concise symbolic expressions to classify and study them.
  • B. Conway skein triple (L₊, L₋, L₀)
    The Conway skein triple (L₊, L₋, L₀) is a standard configuration of three related link diagrams used in knot theory to express how a link invariant, such as the Conway polynomial, changes under local crossing modifications.
  • C. Conway sphere
    The Conway sphere is a mathematical construct in knot theory used to decompose knots and links into simpler tangles, named after mathematician John Horton Conway.
  • D. Dowker–Thistlethwaite notation
    Dowker–Thistlethwaite notation is a numerical encoding system used in knot theory to uniquely represent knot diagrams and facilitate their classification and study.
  • E. Dehn surgery
    Dehn surgery is a fundamental operation in 3-manifold topology that modifies a 3-dimensional manifold by cutting out a solid torus and gluing it back in a different way, playing a central role in the classification and study of 3-manifolds.
  • 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: Conway tangle
Triple: [Conway sphere, relatedConcept, Conway tangle]
Generated description
A Conway tangle is a configuration of intertwined arcs in a three-dimensional ball used in knot theory to decompose and classify knots and links.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Conway tangle
Target entity description: A Conway tangle is a configuration of intertwined arcs in a three-dimensional ball used in knot theory to decompose and classify knots and links.
  • A. Conway notation for knots
    Conway notation for knots is a mathematical system introduced by John H. Conway that encodes knot and link diagrams into concise symbolic expressions to classify and study them.
  • B. Conway skein triple (L₊, L₋, L₀)
    The Conway skein triple (L₊, L₋, L₀) is a standard configuration of three related link diagrams used in knot theory to express how a link invariant, such as the Conway polynomial, changes under local crossing modifications.
  • C. Conway sphere chosen
    The Conway sphere is a mathematical construct in knot theory used to decompose knots and links into simpler tangles, named after mathematician John Horton Conway.
  • D. Dowker–Thistlethwaite notation
    Dowker–Thistlethwaite notation is a numerical encoding system used in knot theory to uniquely represent knot diagrams and facilitate their classification and study.
  • E. Dehn surgery
    Dehn surgery is a fundamental operation in 3-manifold topology that modifies a 3-dimensional manifold by cutting out a solid torus and gluing it back in a different way, playing a central role in the classification and study of 3-manifolds.
  • F. None of above.

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_69c6885d691c81908cf7d31083113886 completed March 27, 2026, 1:38 p.m.
NER Named-entity recognition batch_69c6e20dbc8c8190a7446290747d8078 completed March 27, 2026, 8:01 p.m.
NED1 Entity disambiguation (via context triple) batch_69c775919734819083beb10b4c2b146e completed March 28, 2026, 6:30 a.m.
NEDg Description generation batch_69c7791d319881909470d0fa5f38f68e completed March 28, 2026, 6:45 a.m.
NED2 Entity disambiguation (via description) batch_69c779f5342881909085cae84299831c completed March 28, 2026, 6:49 a.m.
Created at: March 27, 2026, 2:35 p.m.