Triple
T19050556
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirichlet's theorem on arithmetic progressions |
E466245
|
entity |
| Predicate | usesConcept |
P531
|
FINISHED |
| Object |
L-series
L-series are complex analytic functions, often built from Dirichlet characters or other arithmetic data, that encode deep information about prime distributions and number-theoretic structures.
|
E1356358
|
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: L-series | Statement: [Dirichlet's theorem on arithmetic progressions, usesConcept, L-series]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: L-series Context triple: [Dirichlet's theorem on arithmetic progressions, usesConcept, L-series]
-
A.
LC series
The LC series is a line of low-cost, education-focused Macintosh desktop computers produced by Apple in the early 1990s.
-
B.
L series
The L series is the section of the Official Journal of the European Union that publishes binding EU legislation, such as regulations, directives, and decisions.
-
C.
Series L
Series L is a set of ITU-T telecommunications standards focused on outside plant and related infrastructure for telecommunication networks.
-
D.
S series
The S series is the section of the Official Journal of the European Union dedicated primarily to publishing public procurement notices and related tender information.
-
E.
SERI
SERI is Switzerland’s federal authority responsible for national policies and coordination in education, research, and innovation.
- 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: L-series Triple: [Dirichlet's theorem on arithmetic progressions, usesConcept, L-series]
Generated description
L-series are complex analytic functions, often built from Dirichlet characters or other arithmetic data, that encode deep information about prime distributions and number-theoretic structures.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: L-series Target entity description: L-series are complex analytic functions, often built from Dirichlet characters or other arithmetic data, that encode deep information about prime distributions and number-theoretic structures.
-
A.
LC series
The LC series is a line of low-cost, education-focused Macintosh desktop computers produced by Apple in the early 1990s.
-
B.
L series
The L series is the section of the Official Journal of the European Union that publishes binding EU legislation, such as regulations, directives, and decisions.
-
C.
Series L
Series L is a set of ITU-T telecommunications standards focused on outside plant and related infrastructure for telecommunication networks.
-
D.
S series
The S series is the section of the Official Journal of the European Union dedicated primarily to publishing public procurement notices and related tender information.
-
E.
SERI
SERI is Switzerland’s federal authority responsible for national policies and coordination in education, research, and innovation.
- 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_69d8dd040fb881909af2a964f65ad208 |
completed | April 10, 2026, 11:20 a.m. |
| NER | Named-entity recognition | batch_69e5dc02597c8190b39fd2c7b7e42258 |
completed | April 20, 2026, 7:55 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a05c553eaf481909a8e07efec1f58c5 |
completed | May 14, 2026, 12:51 p.m. |
| NEDg | Description generation | batch_6a05c8e3015c819081b70695b9571e1c |
completed | May 14, 2026, 1:06 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a05c95848b88190bf2a9a37b3d51b55 |
completed | May 14, 2026, 1:08 p.m. |
Created at: April 10, 2026, 12:03 p.m.