Triple

T1389374
Position Surface form Disambiguated ID Type / Status
Subject Gauss–Bonnet theorem (early form) E29918 entity
Predicate documentedIn P309 FINISHED
Object Disquisitiones generales circa superficies curvas E157377 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: Disquisitiones generales circa superficies curvas | Statement: [Gauss–Bonnet theorem (early form), documentedIn, Disquisitiones generales circa superficies curvas]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Disquisitiones generales circa superficies curvas
Context triple: [Gauss–Bonnet theorem (early form), documentedIn, Disquisitiones generales circa superficies curvas]
  • A. Disquisitiones Generales Circa Superficies Curvas chosen
    Disquisitiones Generales Circa Superficies Curvas is Carl Friedrich Gauss’s foundational 1827 work on differential geometry, in which he developed the intrinsic theory of curved surfaces and introduced concepts such as Gaussian curvature.
  • B. Elementa curvarum linearum
    Elementa curvarum linearum is a 17th-century mathematical treatise by Johan de Witt that systematically studies the geometry and properties of linear curves.
  • C. Theorema Egregium
    Theorema Egregium is Gauss’s celebrated theorem in differential geometry showing that the Gaussian curvature of a surface is an intrinsic property independent of how the surface is embedded in space.
  • D. Disquisitiones Arithmeticae
    Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
  • E. Treatise on Demonstration of Problems of Algebra
    Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
  • 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_69a498dc92f8819094a1108f8ac90f43 completed March 1, 2026, 7:51 p.m.
NER Named-entity recognition batch_69a4c35ce48c81909aaad7dfa2df63fa completed March 1, 2026, 10:53 p.m.
NED1 Entity disambiguation (via context triple) batch_69acde24d1d88190bd6d602923270cd1 completed March 8, 2026, 2:25 a.m.
Created at: March 1, 2026, 7:59 p.m.