Triple
T7281904
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cahit Arf |
E163168
|
entity |
| Predicate | notableConcept |
P201
|
FINISHED |
| Object | Arf invariant |
E654172
|
NE 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: Arf invariant | Statement: [Cahit Arf, notableConcept, Arf invariant]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Arf invariant Context triple: [Cahit Arf, notableConcept, Arf invariant]
-
A.
Arf invariant
chosen
The Arf invariant is an algebraic invariant in topology and quadratic form theory that classifies certain quadratic forms over fields of characteristic two and plays a key role in knot theory and surgery theory.
-
B.
Arf rings
Arf rings are a class of commutative rings introduced by Turkish mathematician Cahit Arf in his work on algebraic number theory and singularity theory, notable for their role in resolving certain types of singularities.
-
C.
Arf closure
Arf closure is a concept in commutative algebra introduced by mathematician Cahit Arf that refines integral closure to better control singularities in one-dimensional local rings and semigroups.
-
D.
Jones polynomial
The Jones polynomial is a powerful knot invariant in topology that assigns to each knot or link a Laurent polynomial, enabling the distinction of many knots that are indistinguishable by classical invariants.
-
E.
Witten–Reshetikhin–Turaev invariant
The Witten–Reshetikhin–Turaev invariant is a quantum invariant of 3-manifolds and links derived from Chern–Simons theory and quantum groups, playing a central role in low-dimensional topology and quantum topology.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
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_69c6885c5964819085b209701769877f |
completed | March 27, 2026, 1:38 p.m. |
| NER | Named-entity recognition | batch_69c6eb4d3e3c8190a05cb5af5f52bd75 |
completed | March 27, 2026, 8:40 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c7e532a7f08190a5c0b1167dc0be44 |
completed | March 28, 2026, 2:26 p.m. |
Created at: March 27, 2026, 2:59 p.m.