Triple
T24957203
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | noisy-channel coding theorem |
E624507
|
entity |
| Predicate | mathematicallyExpresses |
P12675
|
FINISHED |
| Object | channel capacity as maximum mutual information over input distributions |
—
|
LITERAL 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: channel capacity as maximum mutual information over input distributions | Statement: [noisy-channel coding theorem, mathematicallyExpresses, channel capacity as maximum mutual information over input distributions]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: mathematicallyExpresses Context triple: [noisy-channel coding theorem, mathematicallyExpresses, channel capacity as maximum mutual information over input distributions]
-
A.
mathematicallyExpressedBy
chosen
Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
-
B.
mathematicalOutput
Indicates that one entity is the result or outcome produced by applying a mathematical operation or computation to another entity or set of entities.
-
C.
mathematicallyUses
Indicates that one entity employs or applies another entity within a mathematical context, such as in a formula, proof, computation, or theoretical framework.
-
D.
mathematicallyDefinedAs
Indicates that one entity is precisely specified or characterized in terms of another using a formal mathematical definition or expression.
-
E.
mathematicallyReformulatedBy
Indicates that one entity has been expressed again in a different or more formal mathematical form by another entity.
- F. None of above.
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_69e2ff23a3a88190b1b9743fe5e15f94 |
completed | April 18, 2026, 3:48 a.m. |
| NER | Named-entity recognition | batch_69f497bc12b881908fe3386c66252bf6 |
completed | May 1, 2026, 12:08 p.m. |
| PD | Predicate disambiguation | batch_69f49366e8d08190adb4b71fe3a14683 |
completed | May 1, 2026, 11:49 a.m. |
Created at: April 18, 2026, 5:58 a.m.