Triple

T6482592
Position Surface form Disambiguated ID Type / Status
Subject Gamma function E146428 entity
Predicate hasWeierstrassProduct P71179 FINISHED
Object 1/Γ(z)=ze^{γz}∏_{n=1}^∞(1+z/n)e^{-z/n} — 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: 1/Γ(z)=ze^{γz}∏_{n=1}^∞(1+z/n)e^{-z/n} | Statement: [Gamma function, hasWeierstrassProduct, 1/Γ(z)=ze^{γz}∏_{n=1}^∞(1+z/n)e^{-z/n}]
PD Predicate disambiguation gpt-5-mini-2025-08-07 
Target predicate: hasWeierstrassProduct
Context triple: [Gamma function, hasWeierstrassProduct, 1/Γ(z)=ze^{γz}∏_{n=1}^∞(1+z/n)e^{-z/n}]
  • A. hasWeierstrassPoints
    Indicates that a given algebraic curve possesses one or more Weierstrass points, i.e., special points where the gap sequence of holomorphic differentials deviates from the generic case.
  • B. hasOrderOfPoleAtLatticePoints
    Indicates that a function has poles of specified orders at each point of a given lattice in its domain.
  • C. satisfiesHurwitzBound
    Indicates that a mathematical object (typically a Riemann surface or algebraic curve) has an automorphism group whose size does not exceed the maximum allowed by the Hurwitz bound.
  • D. canBeAnalyticallyContinuedTo
    Indicates that one mathematical object (typically a function) can be extended beyond its original domain in a consistent, analytic way that preserves its defining properties.
  • E. isHolomorphicallyContractible
    Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
  • 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_69c0090158c08190af0df9a2348d2d52 completed March 22, 2026, 3:21 p.m.
NER Named-entity recognition batch_69c06a6cd0c4819085a921e6a361d91c completed March 22, 2026, 10:17 p.m.
PD Predicate disambiguation batch_69c0673f6d48819080e10c85155c7195 completed March 22, 2026, 10:03 p.m.
PDg Predicate description generation batch_69c06822f73081908e6bb9edecbe77a6 completed March 22, 2026, 10:07 p.m.
Created at: March 22, 2026, 4:51 p.m.