Triple
T14265439
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Wacław Sierpiński |
E353630
|
entity |
| Predicate | notableIdea |
P4
|
FINISHED |
| Object |
Sierpiński graph
The Sierpiński graph is a self-similar, fractal-like graph structure closely related to the Sierpiński triangle and studied in graph theory and fractal geometry.
|
E1090237
|
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: Sierpiński graph | Statement: [Wacław Sierpiński, notableIdea, Sierpiński graph]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Sierpiński graph Context triple: [Wacław Sierpiński, notableIdea, Sierpiński graph]
-
A.
Sierpiński carpet
The Sierpiński carpet is a classic two-dimensional fractal formed by repeatedly removing central squares from a larger square, resulting in a highly intricate, self-similar pattern with zero area but infinite perimeter.
-
B.
Menger sponge
The Menger sponge is a classic three-dimensional fractal object characterized by infinite surface area and zero volume, constructed by recursively removing cubes from a larger cube.
-
C.
Cayley graph
A Cayley graph is a graphical representation of a group where vertices correspond to group elements and edges represent multiplication by chosen generators, widely used in group theory and geometric group theory.
-
D.
Ulam spiral
The Ulam spiral is a graphical arrangement of the positive integers in a spiral pattern that reveals striking diagonal alignments of prime numbers, suggesting unexpected structure in their distribution.
-
E.
Szekeres snark
The Szekeres snark is a famous cubic graph in graph theory that serves as a counterexample in edge-coloring problems and helped advance the study of snark graphs.
- 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: Sierpiński graph Triple: [Wacław Sierpiński, notableIdea, Sierpiński graph]
Generated description
The Sierpiński graph is a self-similar, fractal-like graph structure closely related to the Sierpiński triangle and studied in graph theory and fractal geometry.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Sierpiński graph Target entity description: The Sierpiński graph is a self-similar, fractal-like graph structure closely related to the Sierpiński triangle and studied in graph theory and fractal geometry.
-
A.
Sierpiński carpet
The Sierpiński carpet is a classic two-dimensional fractal formed by repeatedly removing central squares from a larger square, resulting in a highly intricate, self-similar pattern with zero area but infinite perimeter.
-
B.
Menger sponge
The Menger sponge is a classic three-dimensional fractal object characterized by infinite surface area and zero volume, constructed by recursively removing cubes from a larger cube.
-
C.
Cayley graph
A Cayley graph is a graphical representation of a group where vertices correspond to group elements and edges represent multiplication by chosen generators, widely used in group theory and geometric group theory.
-
D.
Ulam spiral
The Ulam spiral is a graphical arrangement of the positive integers in a spiral pattern that reveals striking diagonal alignments of prime numbers, suggesting unexpected structure in their distribution.
-
E.
Szekeres snark
The Szekeres snark is a famous cubic graph in graph theory that serves as a counterexample in edge-coloring problems and helped advance the study of snark graphs.
- 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_69d8278c43e08190824146f4632b89a5 |
completed | April 9, 2026, 10:26 p.m. |
| NER | Named-entity recognition | batch_69de6357a8188190ba518a486521052b |
completed | April 14, 2026, 3:55 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69fd326551b08190ae8fe220a6422339 |
completed | May 8, 2026, 12:46 a.m. |
| NEDg | Description generation | batch_69fd3417e8e88190b099bfe4ba30f364 |
completed | May 8, 2026, 12:53 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69fd37df3dfc8190a594abb2c14e11bb |
completed | May 8, 2026, 1:09 a.m. |
Created at: April 10, 2026, 1:09 a.m.