Triple
T10991953
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hirzebruch–Riemann–Roch theorem |
E259772
|
entity |
| Predicate | namedAfter |
P63
|
FINISHED |
| Object | Friedrich Hirzebruch |
E142524
|
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: Friedrich Hirzebruch | Statement: [Hirzebruch–Riemann–Roch theorem, namedAfter, Friedrich Hirzebruch]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Friedrich Hirzebruch Context triple: [Hirzebruch–Riemann–Roch theorem, namedAfter, Friedrich Hirzebruch]
-
A.
Friedrich Hirzebruch
chosen
Friedrich Hirzebruch was a German mathematician renowned for his foundational work in topology and algebraic geometry, particularly the Hirzebruch–Riemann–Roch theorem.
-
B.
Isadore Singer
Isadore Singer was an American mathematician renowned for co-formulating the Atiyah–Singer Index Theorem, a foundational result linking analysis, topology, and geometry.
-
C.
John Milnor
John Milnor is an American mathematician renowned for his groundbreaking work in differential topology, K-theory, and dynamical systems, and is one of the most influential figures in modern mathematics.
-
D.
Heinz Hopf
Heinz Hopf was a German mathematician renowned for his foundational contributions to topology, including the Hopf fibration and Hopf invariant.
-
E.
Michael Atiyah
Michael Atiyah was a renowned British-Lebanese mathematician celebrated for his fundamental contributions to topology and geometry, including the development of K-theory and the Atiyah–Singer Index Theorem.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
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_69d6aa8a6a548190a750f944ccdc8064 |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d795d1e918819090c71f5a077fa15a |
completed | April 9, 2026, 12:04 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69e54263e930819099524917506c7eab |
completed | April 19, 2026, 9 p.m. |
Created at: April 8, 2026, 9:24 p.m.