Triple
T36468517
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Tychonoff space |
E898481
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Tietze extension theorem
The Tietze extension theorem is a fundamental result in topology stating that any continuous real-valued function defined on a closed subset of a normal topological space can be extended to a continuous function on the whole space.
|
E2186179
|
NE 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: Tietze extension theorem | Statement: [Tychonoff space, relatedTo, Tietze extension theorem]
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: Tietze extension theorem Triple: [Tychonoff space, relatedTo, Tietze extension theorem]
Generated description
The Tietze extension theorem is a fundamental result in topology stating that any continuous real-valued function defined on a closed subset of a normal topological space can be extended to a continuous function on the whole space.
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_69f76e58ebd88190b75d9b169b59d793 |
completed | May 3, 2026, 3:48 p.m. |
| NER | Named-entity recognition | batch_69f7bdd157d8819080d5458ddfd73084 |
completed | May 3, 2026, 9:27 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a39cfd308d08190abcc9238d2060a78 |
completed | June 23, 2026, 12:14 a.m. |
| NEDg | Description generation | batch_6a39d3ea5e4481909db900a655c387cd |
completed | June 23, 2026, 12:31 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a39d46e171c8190bf55f47096200625 |
completed | June 23, 2026, 12:33 a.m. |
Created at: May 3, 2026, 4:10 p.m.