Triple
T4410536
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Ramanujan partition congruences |
E94841
|
entity |
| Predicate | secondCongruence |
P56104
|
FINISHED |
| Object | p(7k+5) ≡ 0 (mod 7) |
—
|
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: p(7k+5) ≡ 0 (mod 7) | Statement: [Ramanujan partition congruences, secondCongruence, p(7k+5) ≡ 0 (mod 7)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: secondCongruence Context triple: [Ramanujan partition congruences, secondCongruence, p(7k+5) ≡ 0 (mod 7)]
-
A.
secondedBy
Indicates that an initial proposal, motion, or action by one entity is formally supported or endorsed by another entity as a second.
-
B.
secondPhase
Indicates that an entity is in, or has progressed to, the second phase or stage of a multi-phase process or sequence.
-
C.
secondCircuitHolding
Indicates a legal holding or decision issued by the United States Court of Appeals for the Second Circuit.
-
D.
secondParty
Indicates that an entity participates in a relationship or transaction as the second party relative to a primary (first) party.
-
E.
secondaryConstituent
Indicates that one entity functions as a secondary or subordinate component, element, or member within the structure or composition of another entity.
- F. None of above. chosen
Provenance (4 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_69b34539638c8190abfea3eb29425210 |
completed | March 12, 2026, 10:59 p.m. |
| NER | Named-entity recognition | batch_69b354e4c58c8190b4190aad3095a1dd |
completed | March 13, 2026, 12:05 a.m. |
| PD | Predicate disambiguation | batch_69b34f5b36a881909bf2e970aa523390 |
completed | March 12, 2026, 11:42 p.m. |
| PDg | Predicate description generation | batch_69b3509997208190933f167f7e20ccfa |
completed | March 12, 2026, 11:47 p.m. |
Created at: March 12, 2026, 11:29 p.m.