Triple
T16614856
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Peano curve |
E403670
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Lebesgue space-filling curve
The Lebesgue space-filling curve is a classic continuous mapping from a one-dimensional interval onto a multi-dimensional region that, like the Peano curve, demonstrates how a line can completely fill an area.
|
E403670
|
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: Lebesgue space-filling curve | Statement: [Peano curve, relatedTo, Lebesgue space-filling curve]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Lebesgue space-filling curve Context triple: [Peano curve, relatedTo, Lebesgue space-filling curve]
-
A.
Peano curve
The Peano curve is a space-filling fractal curve that continuously maps a one-dimensional interval onto a two-dimensional area, demonstrating that a line can completely fill a square.
-
B.
Sierpiński arrowhead curve
The Sierpiński arrowhead curve is a self-similar fractal curve that recursively forms a triangular, dragon-like pattern and is closely related to the Sierpiński triangle.
-
C.
Random Curves
Random Curves is a mathematics book by Neal Koblitz that explores probabilistic and heuristic methods in number theory and algebraic geometry, particularly in relation to elliptic curves and cryptographic applications.
-
D.
Schwarz–Christoffel mapping
The Schwarz–Christoffel mapping is a conformal transformation that maps the upper half-plane (or unit disk) onto polygonal regions, playing a central role in complex analysis and applications such as fluid dynamics and electrostatics.
-
E.
Unique Forms of Continuity in Space
Unique Forms of Continuity in Space is a seminal Futurist bronze sculpture by Umberto Boccioni that dynamically depicts a striding human figure dissolving into flowing, aerodynamic forms to evoke speed and modernity.
- 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: Lebesgue space-filling curve Triple: [Peano curve, relatedTo, Lebesgue space-filling curve]
Generated description
The Lebesgue space-filling curve is a classic continuous mapping from a one-dimensional interval onto a multi-dimensional region that, like the Peano curve, demonstrates how a line can completely fill an area.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Lebesgue space-filling curve Target entity description: The Lebesgue space-filling curve is a classic continuous mapping from a one-dimensional interval onto a multi-dimensional region that, like the Peano curve, demonstrates how a line can completely fill an area.
-
A.
Peano curve
chosen
The Peano curve is a space-filling fractal curve that continuously maps a one-dimensional interval onto a two-dimensional area, demonstrating that a line can completely fill a square.
-
B.
Sierpiński arrowhead curve
The Sierpiński arrowhead curve is a self-similar fractal curve that recursively forms a triangular, dragon-like pattern and is closely related to the Sierpiński triangle.
-
C.
Random Curves
Random Curves is a mathematics book by Neal Koblitz that explores probabilistic and heuristic methods in number theory and algebraic geometry, particularly in relation to elliptic curves and cryptographic applications.
-
D.
Schwarz–Christoffel mapping
The Schwarz–Christoffel mapping is a conformal transformation that maps the upper half-plane (or unit disk) onto polygonal regions, playing a central role in complex analysis and applications such as fluid dynamics and electrostatics.
-
E.
Unique Forms of Continuity in Space
Unique Forms of Continuity in Space is a seminal Futurist bronze sculpture by Umberto Boccioni that dynamically depicts a striding human figure dissolving into flowing, aerodynamic forms to evoke speed and modernity.
- 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_69d883897eb481909eaaa088ba9918d9 |
completed | April 10, 2026, 4:58 a.m. |
| NER | Named-entity recognition | batch_69e3609935a88190baa56f3a42b2ecd1 |
completed | April 18, 2026, 10:44 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a0075aeaa9881908bdef0f9f2b52e60 |
completed | May 10, 2026, 12:10 p.m. |
| NEDg | Description generation | batch_6a007705f57881908b07a20ae8957c64 |
completed | May 10, 2026, 12:16 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a007b18f0b08190a9ddc6ad7358d6b8 |
completed | May 10, 2026, 12:33 p.m. |
Created at: April 10, 2026, 5:17 a.m.