Triple
T13893982
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hadamard matrix |
E334040
|
entity |
| Predicate | hasConstructionMethod |
P625
|
FINISHED |
| Object |
Paley construction
Paley construction is a classical method in combinatorial design theory that uses quadratic residues over finite fields to build large Hadamard matrices with specific symmetry properties.
|
E1067634
|
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: Paley construction | Statement: [Hadamard matrix, hasConstructionMethod, Paley construction]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Paley construction Context triple: [Hadamard matrix, hasConstructionMethod, Paley construction]
-
A.
Bose construction of Steiner systems
The Bose construction of Steiner systems is a combinatorial method introduced by mathematician Raj Chandra Bose to systematically build certain highly regular block designs known as Steiner systems.
-
B.
Szekeres configuration
The Szekeres configuration is a notable geometric arrangement in projective geometry consisting of points and lines with specific incidence properties, studied for its combinatorial and symmetry characteristics.
-
C.
Golomb
Golomb is a station on the Carmelit underground funicular system in Haifa, Israel.
-
D.
Bose–Bush construction of orthogonal arrays
The Bose–Bush construction of orthogonal arrays is a foundational combinatorial method that systematically builds highly structured experimental designs and error-correcting codes with strong balance and symmetry properties.
-
E.
Essert-Pittet
Essert-Pittet is a small municipality in the canton of Vaud in western Switzerland.
- 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: Paley construction Triple: [Hadamard matrix, hasConstructionMethod, Paley construction]
Generated description
Paley construction is a classical method in combinatorial design theory that uses quadratic residues over finite fields to build large Hadamard matrices with specific symmetry properties.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Paley construction Target entity description: Paley construction is a classical method in combinatorial design theory that uses quadratic residues over finite fields to build large Hadamard matrices with specific symmetry properties.
-
A.
Bose construction of Steiner systems
The Bose construction of Steiner systems is a combinatorial method introduced by mathematician Raj Chandra Bose to systematically build certain highly regular block designs known as Steiner systems.
-
B.
Szekeres configuration
The Szekeres configuration is a notable geometric arrangement in projective geometry consisting of points and lines with specific incidence properties, studied for its combinatorial and symmetry characteristics.
-
C.
Golomb
Golomb is a station on the Carmelit underground funicular system in Haifa, Israel.
-
D.
Bose–Bush construction of orthogonal arrays
The Bose–Bush construction of orthogonal arrays is a foundational combinatorial method that systematically builds highly structured experimental designs and error-correcting codes with strong balance and symmetry properties.
-
E.
Essert-Pittet
Essert-Pittet is a small municipality in the canton of Vaud in western Switzerland.
- 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_69d81c5dd2d48190b7a5fc1e009de936 |
completed | April 9, 2026, 9:38 p.m. |
| NER | Named-entity recognition | batch_69de23a741908190bdf46d76c5f1411a |
completed | April 14, 2026, 11:23 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f7c71ca8a881908ac02687fbfe62fb |
completed | May 3, 2026, 10:07 p.m. |
| NEDg | Description generation | batch_69f7c7e1247481908073c1e282c3619f |
completed | May 3, 2026, 10:10 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69f7c8f2b5588190b6143d676eb648a0 |
completed | May 3, 2026, 10:15 p.m. |
Created at: April 9, 2026, 10:15 p.m.